Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12201	Simplify	tan(x)^2-cot(x)^2	$\tan^{2} (x) - \cot^{2} (x)$
12202	Simplify	arctan(tan((5pi)/4))	$\arctan (\tan (\frac{5 π}{4}))$
12203	Simplify	(tan(10x)+tan(3x))/(1-tan(10x)tan(3x))	$\frac{\tan (10 x) + \tan (3 x)}{1 - \tan (10 x) \tan (3 x)}$
12204	Simplify	(tan(11))/5280	$\frac{\tan (11)}{5280}$
12205	Simplify	(tan(x))/(1-cos(x))	$\frac{\tan (x)}{1 - \cos (x)}$
12206	Simplify	(tan(x))/(cos(x))	$\frac{\tan (x)}{\cos (x)}$
12207	Simplify	(tan(pi/2-x)csc(x)^2)/(csc(x)^3)	$\frac{\tan (\frac{π}{2} - x) \csc^{2} (x)}{\csc^{3} (x)}$
12208	Simplify	(tan(175)-tan(55))/(1+tan(175)tan(55))	$\frac{\tan (175) - \tan (55)}{1 + \tan (175) \tan (55)}$
12209	Simplify	sin(A)^4-cos(A)^4	$\sin^{4} (A) - \cos^{4} (A)$
12210	Simplify	(sec(x)cos(x))/(tan(x))	$\frac{\sec (x) \cos (x)}{\tan (x)}$
12211	Simplify	(sec(x)csc(x))/(tan(x)cot(x))	$\frac{\sec (x) \csc (x)}{\tan (x) \cot (x)}$
12212	Simplify	sec(x)^2(1-cos(x)^2)	$\sec^{2} (x) (1 - \cos^{2} (x))$
12213	Simplify	sec(0)^2-tan(0)^2	$\sec^{2} (0) - \tan^{2} (0)$
12214	Simplify	(sin(14x))/(sin(13x)+sin(x))	$\frac{\sin (14 x)}{\sin (13 x) + \sin (x)}$
12215	Simplify	(x-4)/(x/4-4/x)	$\frac{(x - 4)}{(\frac{x}{4} - \frac{4}{x})}$
12216	Simplify	(sin(x)-cot(x))/(cot(x)sin(x))	$\frac{\sin (x) - \cot (x)}{\cot (x) \sin (x)}$
12217	Simplify	(sin(x)cos(x))/(1-(sin(x)+cos(x))(sin(x)+cos(x)))	$\frac{\sin (x) \cos (x)}{1 - (\sin (x) + \cos (x)) (\sin (x) + \cos (x))}$
12218	Simplify	i^9+i^-5	$i^{9} + i^{- 5}$
12219	Simplify	(m-8)/(4m)*(4m^2-12m)/(m-8)	$\frac{m - 8}{4 m} \cdot \frac{4 m^{2} - 12 m}{m - 8}$
12220	Simplify	(-pi)/6.2	$\frac{- π}{6.2}$
12221	Simplify	pi/3+pi	$\frac{π}{3} + π$
12222	Simplify	pi/6+pi/3	$\frac{π}{6} + \frac{π}{3}$
12223	Simplify	(5x^2z^6)^3(5x^2z^6)^-3	${(5 x^{2} z^{6})}^{3} {(5 x^{2} z^{6})}^{- 3}$
12224	Simplify	(sin(x))/(1-cos(x))+(1-cos(x))/(sin(x))	$\frac{\sin (x)}{1 - \cos (x)} + \frac{1 - \cos (x)}{\sin (x)}$
12225	Simplify	(sin(theta))/(cos(theta))+(sin(theta))/(cos(theta))	$\frac{\sin (θ)}{\cos (θ)} + \frac{\sin (θ)}{\cos (θ)}$
12226	Simplify	(25-x^2)/(x^3-125)	$\frac{25 - x^{2}}{x^{3} - 125}$
12227	Simplify	(sin(-x))/(tan(-x))	$\frac{\sin (- x)}{\tan (- x)}$
12228	Simplify	(sin(x))/(csc(x+1))	$\frac{\sin (x)}{\csc (x + 1)}$
12229	Simplify	(sin(x))/(sec(x))-(sin(x)-1)/(sec(x))	$\frac{\sin (x)}{\sec (x)} - \frac{\sin (x) - 1}{\sec (x)}$
12230	Simplify	arcsin(pi/4)	$\arcsin (\frac{π}{4})$
12231	Simplify	(sin(x-1))/(x-1)	$\frac{\sin (x - 1)}{x - 1}$
12232	Simplify	(sin(x)+sin(9x))/(cos(x)+cos(9x))	$\frac{\sin (x) + \sin (9 x)}{\cos (x) + \cos (9 x)}$
12233	Simplify	(sin(x+pi))/(cos(x-pi))	$\frac{\sin (x + π)}{\cos (x - π)}$
12234	Simplify	sin(40)^2+cos(40)^2	$\sin^{2} (40) + \cos^{2} (40)$
12235	Simplify	arcsin(-0.5)	$\arcsin (- 0.5)$
12236	Simplify	arcsin(4/9)	$\arcsin (\frac{4}{9})$
12237	Simplify	arcsin(0.7)	$\arcsin (0.7)$
12238	Simplify	arcsin((sin(3pi))/2)	$\arcsin (\frac{\sin (3 π)}{2})$
12239	Simplify	(8a^6b^(3/2))^(2/3)	${(8 a^{6} b^{\frac{3}{2}})}^{\frac{2}{3}}$
12240	Simplify	x^4(2x)^5	$x^{4} {(2 x)}^{5}$
12241	Simplify	x^-5*x^10	$x^{- 5} \cdot x^{10}$
12242	Simplify	(x+h)/(x+h+2)-x/(x+2)	$\frac{x + h}{x + h + 2} - \frac{x}{x + 2}$
12243	Simplify	(x+h)/(x+h-2)-x/(x-2)	$\frac{x + h}{x + h - 2} - \frac{x}{x - 2}$
12244	Simplify	(x-4)/(5xy)-(3x+1)/(y^2)	$\frac{x - 4}{5 x y} - \frac{3 x + 1}{y^{2}}$
12245	Simplify	x^3y-100xy^3	$x^{3} y - 100 x y^{3}$
12246	Simplify	a^3aa^4	$a^{3} a a^{4}$
12247	Simplify	x^3-7x-6	$x^{3} - 7 x - 6$
12248	Simplify	x^2-8x+7	$x^{2} - 8 x + 7$
12249	Simplify	x^2-5x+4/(x-1)	$x^{2} - 5 x + \frac{4}{x - 1}$
12250	Simplify	x^2-3x+2	$x^{2} - 3 x + 2$
12251	Simplify	(x+(5+x^2))(x-(5+x^2))	$(x + (5 + x^{2})) (x - (5 + x^{2}))$
12252	Simplify	x^2+5x+x^2+7x-10	$x^{2} + 5 x + x^{2} + 7 x - 10$
12253	Simplify	cube root of x^7* cube root of x^2	$\sqrt[3]{x^{7}} \cdot \sqrt[3]{x^{2}}$
12254	Simplify	square root of x-1+ square root of 4-x	$\sqrt{x - 1} + \sqrt{4 - x}$
12255	Simplify	cube root of x^3-3+3	$\sqrt[3]{x^{3} - 3} + 3$
12256	Simplify	cube root of 128xy^3+y cube root of 16x	$\sqrt[3]{128 x y^{3}} + y \sqrt[3]{16 x}$
12257	Simplify	square root of x*sin(x)	$\sqrt{x} \cdot \sin (x)$
12258	Simplify	square root of x+3x-5	$\sqrt{x} + 3 x - 5$
12259	Simplify	square root of x-x-12	$\sqrt{x} - x - 12$
12260	Simplify	x/(x^2-10x+25)-(x-4)/(2x-10)	$\frac{x}{x^{2} - 10 x + 25} - \frac{x - 4}{2 x - 10}$
12261	Simplify	x/(x^2+x-2)-6/(x^2-5x+4)	$\frac{x}{x^{2} + x - 2} - \frac{6}{x^{2} - 5 x + 4}$
12262	Simplify	x/(x^2+x-2)-7/(x^2-5x+4)	$\frac{x}{x^{2} + x - 2} - \frac{7}{x^{2} - 5 x + 4}$
12263	Simplify	x/(x^2-x-30)-1/(x+5)	$\frac{x}{x^{2} - x - 30} - \frac{1}{x + 5}$
12264	Simplify	x/4-3/x	$\frac{x}{4} - \frac{3}{x}$
12265	Simplify	cube root of 2a* square root of b	$\sqrt[3]{2 a} \cdot \sqrt{b}$
12266	Simplify	fourth root of 32x+ fourth root of 2x^5	$\sqrt[4]{32 x} + \sqrt[4]{2 x^{5}}$
12267	Simplify	(1+8x)(x^2-9x+1)	$(1 + 8 x) (x^{2} - 9 x + 1)$
12268	Simplify	(x(x+4)^(-3/4)+x^2(x+4)^(1/4))/(x(x+4))	$\frac{x {(x + 4)}^{- \frac{3}{4}} + x^{2} {(x + 4)}^{\frac{1}{4}}}{x (x + 4)}$
12269	Simplify	x^2(x-3)(x+4)	$x^{2} (x - 3) (x + 4)$
12270	Simplify	(1/(x+h+3)-1/(x+3))/h	$\frac{\frac{1}{x + h + 3} - \frac{1}{x + 3}}{h}$
12271	Simplify	x^(7/6)x^(2/6)	$x^{\frac{7}{6}} x^{\frac{2}{6}}$
12272	Simplify	x^2+2x(5x(x))	$x^{2} + 2 x (5 x (x))$
12273	Simplify	x^2-1/4x	$x^{2} - \frac{1}{4} x$
12274	Simplify	x^2e^x-64e^x	$x^{2} e^{x} - 64 e^{x}$
12275	Simplify	x^(3/2*( square root of x-1/( square root of x)))	$x^{\frac{3}{2} \cdot (\sqrt{x} - \frac{1}{\sqrt{x}})}$
12276	Simplify	x^(1/2)x^(1/7)	$x^{\frac{1}{2}} x^{\frac{1}{7}}$
12277	Simplify	x^(3/4)-x^(1/4)	$x^{\frac{3}{4}} - x^{\frac{1}{4}}$
12278	Simplify	x^(2/3)x^(1/5)	$x^{\frac{2}{3}} x^{\frac{1}{5}}$
12279	Simplify	x^(3/2)(x+x^(5/2)-x^2)	$x^{\frac{3}{2}} (x + x^{\frac{5}{2}} - x^{2})$
12280	Simplify	x/(x-3)-(x+1)/(x^2+5x-24)	$\frac{x}{x - 3} - \frac{x + 1}{x^{2} + 5 x - 24}$
12281	Simplify	x^(-1/2)(x^(5/2)-2x^(3/2))	$x^{- \frac{1}{2}} (x^{\frac{5}{2}} - 2 x^{\frac{3}{2}})$
12282	Simplify	x^(1/4)(2x^(3/4)-x^(1/4))	$x^{\frac{1}{4}} (2 x^{\frac{3}{4}} - x^{\frac{1}{4}})$
12283	Simplify	x^(2/3)(x+x^(5/2)-x^2)	$x^{\frac{2}{3}} (x + x^{\frac{5}{2}} - x^{2})$
12284	Simplify	x^(-1/5)*x^(6/5)	$x^{- \frac{1}{5}} \cdot x^{\frac{6}{5}}$
12285	Simplify	x/(x-4)-3/(x+6)	$\frac{x}{x - 4} - \frac{3}{x + 6}$
12286	Simplify	x/y-y/x*(x^2y^2)	$\frac{x}{y} - \frac{y}{x} \cdot (x^{2} y^{2})$
12287	Simplify	(csc(x)^2-cot(x)^2)/(sin(x)^2)	$\frac{\csc^{2} (x) - \cot^{2} (x)}{\sin^{2} (x)}$
12288	Simplify	(cot(t)^3)/(csc(t))	$\frac{\cot^{3} (t)}{\csc (t)}$
12289	Simplify	(cot(x)^3)/(csc(x))	$\frac{\cot^{3} (x)}{\csc (x)}$
12290	Simplify	(csc(x-1)^2)/(csc(x-1))	$\frac{\csc^{2} (x - 1)}{\csc (x - 1)}$
12291	Simplify	cot(x)^2(x)(csc(x)-1)	$\cot^{2} (x) (x) (\csc (x) - 1)$
12292	Simplify	(cos(x)^3-sin(x)^3)/(sin(x)-cos(x))	$\frac{\cos^{3} (x) - \sin^{3} (x)}{\sin (x) - \cos (x)}$
12293	Simplify	(cos(x)^2+tan(x)^2-1)/(sin(x)^2)	$\frac{\cos^{2} (x) + \tan^{2} (x) - 1}{\sin^{2} (x)}$
12294	Simplify	(csc(x)^2sec(x))/(sec(x)^2+csc(x)^2)	$\frac{\csc^{2} (x) \sec (x)}{\sec^{2} (x) + \csc^{2} (x)}$
12295	Simplify	(csc(x-1)^2)/(csc(x)^2)	$\frac{\csc^{2} (x - 1)}{\csc^{2} (x)}$
12296	Simplify	(e^(3x)*e^-5)/(e^(2x))	$\frac{e^{3 x} \cdot e^{- 5}}{e^{2 x}}$
12297	Simplify	3/(2x-3)-1/((2x-3)^2)	$\frac{3}{2 x - 3} - \frac{1}{{(2 x - 3)}^{2}}$
12298	Simplify	(r/s+s/r)/((r^2)/(s^2)-(s^2)/(r^2))	$\frac{\frac{r}{s} + \frac{s}{r}}{\frac{r^{2}}{s^{2}} - \frac{s^{2}}{r^{2}}}$
12299	Simplify	(sec(u)^2-tan(u)^2)/(cos(v)^2+sin(v)^2)	$\frac{\sec^{2} (u) - \tan^{2} (u)}{\cos^{2} (v) + \sin^{2} (v)}$
12300	Simplify	((sin(x))/(cos(x)))/(1/(cos(x)))	$\frac{\frac{\sin (x)}{\cos (x)}}{\frac{1}{\cos (x)}}$