Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18301	Simplify	1-cos(1)	$1 - \cos (1)$
18302	Simplify	13 square root of 40+6 square root of 10	$13 \sqrt{40} + 6 \sqrt{10}$
18303	Simplify	17c^4	$17 c^{4}$
18304	Simplify	1-8x^-3	$1 - 8 x^{- 3}$
18305	Simplify	18cos(pi/6)+9sin(2(pi/6))	$18 \cos (\frac{π}{6}) + 9 \sin (2 (\frac{π}{6}))$
18306	Simplify	12-192/(x^2)	$12 - \frac{192}{x^{2}}$
18307	Simplify	156-2pr	$156 - 2 p r$
18308	Simplify	1-\|x-1\|	$1 - \| x - 1 \|$
18309	Simplify	z^2(1+e^(-z))	$z^{2} (1 + e^{- z})$
18310	Simplify	1+2sin(2pi)	$1 + 2 \sin (2 π)$
18311	Simplify	1+5cos(pi/3)+sec(pi/3)^2	$1 + 5 \cos (\frac{π}{3}) + \sec^{2} (\frac{π}{3})$
18312	Simplify	1-sin(0)^2	$1 - \sin^{2} (0)$
18313	Simplify	1+x/(1-x)	$1 + \frac{x}{1 - x}$
18314	Simplify	1+(-x^(-1/3)(16-x^(2/3))^(1/2))^2	$1 + {(- x^{- \frac{1}{3}} {(16 - x^{\frac{2}{3}})}^{\frac{1}{2}})}^{2}$
18315	Simplify	100(1-e^-0.3)	$100 (1 - e^{- 0.3})$
18316	Simplify	1000e^(0.08*4)	$1000 e^{0.08 \cdot 4}$
18317	Simplify	10(2+h)^2	$10 {(2 + h)}^{2}$
18318	Simplify	11- square root of 17	$11 - \sqrt{17}$
18319	Simplify	xe^(-x)	$x e^{- x}$
18320	Simplify	(x-4)/x	$\frac{x - 4}{x}$
18321	Simplify	xe^(-x^2)	$x e^{- x^{2}}$
18322	Simplify	y^(1/2)y^(2/3)	$y^{\frac{1}{2}} y^{\frac{2}{3}}$
18323	Simplify	x^5*x^(1/2)	$x^{5} \cdot x^{\frac{1}{2}}$
18324	Simplify	x^9(1/x)	$x^{9} (\frac{1}{x})$
18325	Simplify	x^4(1/x)	$x^{4} (\frac{1}{x})$
18326	Simplify	-y/(x-y)*(x-y)	$- \frac{y}{x - y} \cdot (x - y)$
18327	Simplify	y^(5/2)y^(2/3)	$y^{\frac{5}{2}} y^{\frac{2}{3}}$
18328	Simplify	y^2(xy)	$y^{2} (x y)$
18329	Simplify	0.08t^2-0.02t+0.08	$0.08 t^{2} - 0.02 t + 0.08$
18330	Simplify	0.94*(x^3)/3	$0.94 \cdot \frac{x^{3}}{3}$
18331	Simplify	0-8	$0 - 8$
18332	Simplify	(sin(2x))/(sin(x))	$\frac{\sin (2 x)}{\sin (x)}$
18333	Simplify	(sin((npi)/2)-sin(-(npi)/2))/(npi)	$\frac{\sin (\frac{n π}{2}) - \sin (- \frac{n π}{2})}{n π}$
18334	Simplify	s^2+4s(6912/(s^2))	$s^{2} + 4 s (\frac{6912}{s^{2}})$
18335	Simplify	pi/3-pi/6	$\frac{π}{3} - \frac{π}{6}$
18336	Simplify	pi/8*cos(x)-sin(x)	$\frac{π}{8} \cdot \cos (x) - \sin (x)$
18337	Simplify	t^(1/2)*t	$t^{\frac{1}{2}} \cdot t$
18338	Simplify	t^2(t^(1/2))	$t^{2} (t^{\frac{1}{2}})$
18339	Simplify	sin(pi/10)^2+cos(pi/10)^2	$\sin^{2} (\frac{π}{10}) + \cos^{2} (\frac{π}{10})$
18340	Simplify	sin(0)^2+sin(pi/8)^2+sin(pi/4)^2+sin((3pi)/8)^2	$\sin^{2} (0) + \sin^{2} (\frac{π}{8}) + \sin^{2} (\frac{π}{4}) + \sin^{2} (\frac{3 π}{8})$
18341	Simplify	(sin(x)cos(x))/(tan(x))	$\frac{\sin (x) \cos (x)}{\tan (x)}$
18342	Simplify	(sin(x))/(cos(x))+(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)}$
18343	Simplify	(sin(x)tan(x)^2)/(sec(x)^2)	$\frac{\sin (x) \tan^{2} (x)}{\sec^{2} (x)}$
18344	Simplify	(sin(2x))/(cos(2x))	$\frac{\sin (2 x)}{\cos (2 x)}$
18345	Simplify	(sin(4x))/(sin(3x))	$\frac{\sin (4 x)}{\sin (3 x)}$
18346	Simplify	(sin(5x))/x	$\frac{\sin (5 x)}{x}$
18347	Simplify	t^(-1/2)	$t^{- \frac{1}{2}}$
18348	Simplify	tan(pi/6)^2sec(pi/6)+sec(pi/6)^3	$\tan^{2} (\frac{π}{6}) \sec (\frac{π}{6}) + \sec^{3} (\frac{π}{6})$
18349	Simplify	(u-1)/2*(du)/2	$\frac{u - 1}{2} \cdot \frac{d u}{2}$
18350	Simplify	square root of 1-x^2-2xh-h^2- square root of 1-x^2	$\sqrt{1 - x^{2} - 2 x h - h^{2}} - \sqrt{1 - x^{2}}$
18351	Simplify	square root of 14m^5* square root of 7m^13	$\sqrt{14 m^{5}} \cdot \sqrt{7 m^{13}}$
18352	Simplify	(8+h)^3	${(8 + h)}^{3}$
18353	Simplify	arctan(1)-arctan(0)	$\arctan (1) - \arctan (0)$
18354	Simplify	(tan(2x))/(1-cot(2x))	$\frac{\tan (2 x)}{1 - \cot (2 x)}$
18355	Simplify	(tan(4b))/(tan(5b))	$\frac{\tan (4 b)}{\tan (5 b)}$
18356	Simplify	t^3+3t^2-12t+4	$t^{3} + 3 t^{2} - 12 t + 4$
18357	Simplify	tan(t)^2sec(t)^2	$\tan^{2} (t) \sec^{2} (t)$
18358	Simplify	square root of 1-x^2-((x^2)/( square root of 1-x^2))	$\sqrt{1 - x^{2}} - (\frac{x^{2}}{\sqrt{1 - x^{2}}})$
18359	Simplify	square root of 11c* square root of 11c	$\sqrt{11 c} \cdot \sqrt{11 c}$
18360	Simplify	cube root of -4m^2* cube root of 2m	$\sqrt[3]{- 4 m^{2}} \cdot \sqrt[3]{2 m}$
18361	Simplify	x/15(x^7)/(2x)20/(x^4)	$\frac{x}{15} \cdot \frac{x^{7}}{2 x} \cdot \frac{20}{x^{4}}$
18362	Simplify	fourth root of t+8sec(t)	$\sqrt[4]{t} + 8 \sec (t)$
18363	Simplify	x/(2x)	$\frac{x}{2 x}$
18364	Simplify	square root of x-1* square root of x+1	$\sqrt{x - 1} \cdot \sqrt{x + 1}$
18365	Simplify	fourth root of x+ fourth root of y-1	$\sqrt[4]{x} + \sqrt[4]{y} - 1$
18366	Simplify	x^(1/2)*(2x)	$x^{\frac{1}{2}} \cdot (2 x)$
18367	Simplify	x^(4/5)x^(1/3)	$x^{\frac{4}{5}} x^{\frac{1}{3}}$
18368	Simplify	(5+h)^2	${(5 + h)}^{2}$
18369	Simplify	x^(8/9)(6+x^(1/9))	$x^{\frac{8}{9}} (6 + x^{\frac{1}{9}})$
18370	Simplify	x^(1/3-1)	$x^{\frac{1}{3} - 1}$
18371	Simplify	x/(sin(x))	$\frac{x}{\sin (x)}$
18372	Simplify	x^(1/2)(1/2x^(-1/2))	$x^{\frac{1}{2}} (\frac{1}{2} x^{- \frac{1}{2}})$
18373	Simplify	x/(x-3)+(x-21)/(x^2-9)	$\frac{x}{x - 3} + \frac{x - 21}{x^{2} - 9}$
18374	Simplify	x^2+x-(2x^2-5x)-9	$x^{2} + x - (2 x^{2} - 5 x) - 9$
18375	Simplify	x^2-2x-15	$x^{2} - 2 x - 15$
18376	Simplify	x^-3-y^-3	$x^{- 3} - y^{- 3}$
18377	Simplify	x^3*(3x^2)	$x^{3} \cdot (3 x^{2})$
18378	Simplify	x^3-9x	$x^{3} - 9 x$
18379	Simplify	x^3-2x^2-4x-3	$x^{3} - 2 x^{2} - 4 x - 3$
18380	Simplify	x^3+3x^2-16x-48	$x^{3} + 3 x^{2} - 16 x - 48$
18381	Simplify	x^2(-x/4+2700/x)	$x^{2} (- \frac{x}{4} + \frac{2700}{x})$
18382	Simplify	x^2-10/x	$x^{2} - \frac{10}{x}$
18383	Simplify	x^2e^(-x)	$x^{2} e^{- x}$
18384	Simplify	x^2+2x-4	$x^{2} + 2 x - 4$
18385	Simplify	-x^2+4x-9	$- x^{2} + 4 x - 9$
18386	Simplify	-x^2+10x-9-(x^2-6x+5)	$- x^{2} + 10 x - 9 - (x^{2} - 6 x + 5)$
18387	Simplify	3x^2-2x-1	$3 x^{2} - 2 x - 1$
18388	Simplify	3x^2-5x-2	$3 x^{2} - 5 x - 2$
18389	Simplify	3(2)^3+(2)^2-9*2+C	$3 {(2)}^{3} + {(2)}^{2} - 9 \cdot 2 + C$
18390	Simplify	3cos((3pi)/2)^2-6sin((3pi)/2)	$3 \cos^{2} (\frac{3 π}{2}) - 6 \sin (\frac{3 π}{2})$
18391	Simplify	3(x+6)+4(2x-5)	$3 (x + 6) + 4 (2 x - 5)$
18392	Simplify	2x+y*(3x)-4y	$2 x + y \cdot (3 x) - 4 y$
18393	Simplify	3.188(1+(1-4.25)(S/249.15)^4.25)	$3.188 (1 + (1 - 4.25) {(\frac{S}{249.15})}^{4.25})$
18394	Simplify	-3.4f^-3+0.25	$- 3.4 f^{- 3} + 0.25$
18395	Simplify	3((3x-x^3)/(x^2-4))^2((-x^4+9x^2-12)/((x^2-4)^2))	$3 {(\frac{3 x - x^{3}}{x^{2} - 4})}^{2} (\frac{- x^{4} + 9 x^{2} - 12}{{(x^{2} - 4)}^{2}})$
18396	Simplify	3(3+h)^2	$3 {(3 + h)}^{2}$
18397	Simplify	-3-8(a+h)^2	$- 3 - 8 {(a + h)}^{2}$
18398	Simplify	-32x+96	$- 32 x + 96$
18399	Simplify	34-4x-px	$34 - 4 x - p x$
18400	Simplify	300(((t+25)(0.5)(0.5t^2+2t+25)^-0.5-(0.5t^2+2t+25)^0.5)/((t+25)^2))	$300 (\frac{(t + 25) (0.5) {(0.5 t^{2} + 2 t + 25)}^{- 0.5} - {(0.5 t^{2} + 2 t + 25)}^{0.5}}{{(t + 25)}^{2}})$