Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15101	Simplify	(a^2-100)/(3a)*(a^2)/(2a-20)	$\frac{a^{2} - 100}{3 a} \cdot \frac{a^{2}}{2 a - 20}$
15102	Simplify	((cos(x))/(sin(x)))/(cos(x))	$\frac{\frac{\cos (x)}{\sin (x)}}{\cos (x)}$
15103	Simplify	(b^2)/(b-3)+9/(3-b)	$\frac{b^{2}}{b - 3} + \frac{9}{3 - b}$
15104	Simplify	(a^2-9)/(a^2-3a)*(a^2+a)/(a+3)	$\frac{a^{2} - 9}{a^{2} - 3 a} \cdot \frac{a^{2} + a}{a + 3}$
15105	Simplify	(cos(x)^2)/(cos(x)-cos(x)sin(x))	$\frac{\cos^{2} (x)}{\cos (x) - \cos (x) \sin (x)}$
15106	Simplify	(cos(t)^2)/(1-cos(t)^2)	$\frac{\cos^{2} (t)}{1 - \cos^{2} (t)}$
15107	Simplify	(cos(t)^2+tan(t)^2-1)/(sin(t)^2)	$\frac{\cos^{2} (t) + \tan^{2} (t) - 1}{\sin^{2} (t)}$
15108	Simplify	(cos(x)^2)/(1/(tan(x)^2))	$\frac{\cos^{2} (x)}{\frac{1}{\tan^{2} (x)}}$
15109	Simplify	(cos(t)^2-1)/(sin(t))	$\frac{\cos^{2} (t) - 1}{\sin (t)}$
15110	Simplify	(cos(A)^3-8)/(cos(A)-2)	$\frac{\cos^{3} (A) - 8}{\cos (A) - 2}$
15111	Simplify	(cos(x)^2+8cos(x)+16)/(cos(x)+4)	$\frac{\cos^{2} (x) + 8 \cos (x) + 16}{\cos (x) + 4}$
15112	Simplify	(3/(xy^2))^-3	${(\frac{3}{x y^{2}})}^{- 3}$
15113	Simplify	((1+cos(x))(1-cos(x)))/(sin(x)cos(x))	$\frac{(1 + \cos (x)) (1 - \cos (x))}{\sin (x) \cos (x)}$
15114	Simplify	(4/(3x+6))/(2+x/(x+2))	$\frac{\frac{4}{3 x + 6}}{2 + \frac{x}{x + 2}}$
15115	Simplify	(8(cos(60)+isin(60)))(7(cos(165)+isin(165)))	$(8 (\cos (60) + i \sin (60))) (7 (\cos (165) + i \sin (165)))$
15116	Simplify	((x^2y^-3)/((xy^4)^-1))^5	${(\frac{x^{2} y^{- 3}}{{(x y^{4})}^{- 1}})}^{5}$
15117	Simplify	(x^2y^-3z)^-2	${(x^{2} y^{- 3} z)}^{- 2}$
15118	Simplify	((4x-3)/x)^2	${(\frac{4 x - 3}{x})}^{2}$
15119	Simplify	(-1-i)^3	${(- 1 - i)}^{3}$
15120	Simplify	(1-i)^8	${(1 - i)}^{8}$
15121	Simplify	(1-cot(x))^2	${(1 - \cot (x))}^{2}$
15122	Simplify	(1-sin(t))^2	${(1 - \sin (t))}^{2}$
15123	Simplify	(1+tan(x))/(cos(x))	$\frac{1 + \tan (x)}{\cos (x)}$
15124	Simplify	(-1+i)^5	${(- 1 + i)}^{5}$
15125	Simplify	((17)(9.8))/(cos(25))*(sin(47))	$\frac{(17) (9.8)}{\cos (25)} \cdot (\sin (47))$
15126	Simplify	(1-cos(2x))^2	${(1 - \cos (2 x))}^{2}$
15127	Simplify	(1+csc(x))/(cos(x)+cot(x))	$\frac{1 + \csc (x)}{\cos (x) + \cot (x)}$
15128	Simplify	(1+tan(x))^2+(1-tan(x))^2	${(1 + \tan (x))}^{2} + {(1 - \tan (x))}^{2}$
15129	Simplify	(-1-2i)^6	${(- 1 - 2 i)}^{6}$
15130	Simplify	(-5p)/3	$\frac{- 5 p}{3}$
15131	Simplify	(5sin(x)+5cos(x))^2	${(5 \sin (x) + 5 \cos (x))}^{2}$
15132	Simplify	(4x+y)^7	${(4 x + y)}^{7}$
15133	Simplify	(-4cos(x)sin(x)+2cos(2x))^2+(2cos(2x)+4sin(x)cos(x))^2	${(- 4 \cos (x) \sin (x) + 2 \cos (2 x))}^{2} + {(2 \cos (2 x) + 4 \sin (x) \cos (x))}^{2}$
15134	Simplify	(4+3i)^6	${(4 + 3 i)}^{6}$
15135	Simplify	-(4h-7)^2-(5-3h)^2	$- {(4 h - 7)}^{2} - {(5 - 3 h)}^{2}$
15136	Simplify	(4sin(x)-4cos(x))^2	${(4 \sin (x) - 4 \cos (x))}^{2}$
15137	Simplify	(4a^2b^4)^(1/2)	${(4 a^{2} b^{4})}^{\frac{1}{2}}$
15138	Simplify	(4x^2-13x+10)/(24x^2-30x)*(4x^2+8x)/(2x^2-8)	$\frac{4 x^{2} - 13 x + 10}{24 x^{2} - 30 x} \cdot \frac{4 x^{2} + 8 x}{2 x^{2} - 8}$
15139	Simplify	(7-3i)^8	${(7 - 3 i)}^{8}$
15140	Simplify	(7x)/(x-6)*(x+5)/(2x^3)	$\frac{7 x}{x - 6} \cdot \frac{x + 5}{2 x^{3}}$
15141	Simplify	(8)^2+(6)^2-286cos(95)	${(8)}^{2} + {(6)}^{2} - 2 \cdot 8 \cdot 6 \cos (95)$
15142	Simplify	(5-i)^6	${(5 - i)}^{6}$
15143	Simplify	(8-7y)^2	${(8 - 7 y)}^{2}$
15144	Simplify	(8y-1)^2	${(8 y - 1)}^{2}$
15145	Simplify	arcsin(3/(2sin(x)+5))	$\arcsin (\frac{3}{2 \sin (x) + 5})$
15146	Simplify	(8x^2)^(1/3)	${(8 x^{2})}^{\frac{1}{3}}$
15147	Simplify	(3m^-4n^-3)^-2	${(3 m^{- 4} n^{- 3})}^{- 2}$
15148	Simplify	(3x^-2y^3)^-2(2x^-6y^2)	${(3 x^{- 2} y^{3})}^{- 2} (2 x^{- 6} y^{2})$
15149	Simplify	(3(cos(20)+isin(20)))^4	${(3 (\cos (20) + i \sin (20)))}^{4}$
15150	Simplify	(3sin(x)-3cos(x))^2	${(3 \sin (x) - 3 \cos (x))}^{2}$
15151	Simplify	(3-3i)^6	${(3 - 3 i)}^{6}$
15152	Simplify	(3-3i)^4	${(3 - 3 i)}^{4}$
15153	Simplify	(3+i)^4	${(3 + i)}^{4}$
15154	Simplify	(3-7i)^2	${(3 - 7 i)}^{2}$
15155	Simplify	(3x^-6y^2)^-3	${(3 x^{- 6} y^{2})}^{- 3}$
15156	Simplify	(3+4cos(2x)+cos(4x))/8	$\frac{3 + 4 \cos (2 x) + \cos (4 x)}{8}$
15157	Simplify	(27x)^(2/3)	${(27 x)}^{\frac{2}{3}}$
15158	Simplify	(-27m^-3n^6)^(-2/3)	${(- 27 m^{- 3} n^{6})}^{- \frac{2}{3}}$
15159	Simplify	(2ab+c)^2	${(2 a b + c)}^{2}$
15160	Simplify	(2cos(x)-2sin(x))^2+4sin(2x)	${(2 \cos (x) - 2 \sin (x))}^{2} + 4 \sin (2 x)$
15161	Simplify	(-2x^2y^3)^4	${(- 2 x^{2} y^{3})}^{4}$
15162	Simplify	(-2x^4y^2)^3	${(- 2 x^{4} y^{2})}^{3}$
15163	Simplify	(2x^2-3x+1)/(x-1)	$\frac{2 x^{2} - 3 x + 1}{x - 1}$
15164	Simplify	(2b^-6c^2)^-4	${(2 b^{- 6} c^{2})}^{- 4}$
15165	Simplify	3/(x-2)+1	$\frac{3}{x - 2} + 1$
15166	Simplify	30/(tan(10))	$\frac{30}{\tan (10)}$
15167	Simplify	(3pi)/10	$\frac{3 π}{10}$
15168	Simplify	(3a+1)/(a^2-1)-1/(a+1)	$\frac{3 a + 1}{a^{2} - 1} - \frac{1}{a + 1}$
15169	Simplify	(30pi)/180	$\frac{30 π}{180}$
15170	Simplify	320/p	$\frac{320}{p}$
15171	Simplify	3/(8x^3y^3)-1/(4xy)	$\frac{3}{8 x^{3} y^{3}} - \frac{1}{4 x y}$
15172	Simplify	3/4*sin(10x)	$\frac{3}{4} \cdot \sin (10 x)$
15173	Simplify	(3d^2+2d-29)/(d+3)	$\frac{3 d^{2} + 2 d - 29}{d + 3}$
15174	Simplify	(3cos(x)^2+4cos(x)+1)/(cos(x)^2+2cos(x)+1)	$\frac{3 \cos^{2} (x) + 4 \cos (x) + 1}{\cos^{2} (x) + 2 \cos (x) + 1}$
15175	Simplify	(3sin(x)^2+4sin(x)+1)/(sin(x)^2+2sin(x)+1)	$\frac{3 \sin^{2} (x) + 4 \sin (x) + 1}{\sin^{2} (x) + 2 \sin (x) + 1}$
15176	Simplify	(2x*(2sin(a)cos(a)))/g	$\frac{2 x \cdot (2 \sin (a) \cos (a))}{g}$
15177	Simplify	(3pi)/2+pi	$\frac{3 π}{2} + π$
15178	Simplify	(3pi)/2(rad)	$\frac{3 π}{2} \cdot (r a d)$
15179	Simplify	(3x)/(2x-6)+9/(6-2x)	$\frac{3 x}{2 x - 6} + \frac{9}{6 - 2 x}$
15180	Simplify	(3x+3(x+h))/(x+h-x)	$\frac{3 x + 3 (x + h)}{x + h - x}$
15181	Simplify	(3x)/(x-2)-6/(x^2-4)	$\frac{3 x}{x - 2} - \frac{6}{x^{2} - 4}$
15182	Simplify	(3y+15)/(25-y^2)+2/(y-5)	$\frac{3 y + 15}{25 - y^{2}} + \frac{2}{y - 5}$
15183	Simplify	(3pi)/5	$\frac{3 π}{5}$
15184	Simplify	(3pi)/6	$\frac{3 π}{6}$
15185	Simplify	(-3xy)/(9x^3y^-4)	$\frac{- 3 x y}{9 x^{3} y^{- 4}}$
15186	Simplify	(-4tan(t)^2-4)/(sec(t)^2)	$\frac{- 4 \tan^{2} (t) - 4}{\sec^{2} (t)}$
15187	Simplify	(4x^2)/(x^2-16)*(x^3-64)/(2x)	$\frac{4 x^{2}}{x^{2} - 16} \cdot \frac{x^{3} - 64}{2 x}$
15188	Simplify	(4pi)/3+2pi	$\frac{4 π}{3} + 2 π$
15189	Simplify	(4pi)/3-pi	$\frac{4 π}{3} - π$
15190	Simplify	(4i)/2	$\frac{4 i}{2}$
15191	Simplify	(4pi)/11	$\frac{4 π}{11}$
15192	Simplify	(4pi)/9	$\frac{4 π}{9}$
15193	Simplify	(43pi)/90	$\frac{43 π}{90}$
15194	Simplify	5/(x-3)-1/x	$\frac{5}{x - 3} - \frac{1}{x}$
15195	Simplify	5/(sin(x))+4/(cos(y))	$\frac{5}{\sin (x)} + \frac{4}{\cos (y)}$
15196	Simplify	5/(tan(x)+sec(x))	$\frac{5}{\tan (x) + \sec (x)}$
15197	Simplify	(5m^2+5m)/(15m^2+25m)	$\frac{5 m^{2} + 5 m}{15 m^{2} + 25 m}$
15198	Simplify	(5cos(x))/(1+sin(x))+(5+5sin(x))/(cos(x))	$\frac{5 \cos (x)}{1 + \sin (x)} + \frac{5 + 5 \sin (x)}{\cos (x)}$
15199	Simplify	-(5pi)/3	$- \frac{5 π}{3}$
15200	Simplify	(5pi)/18*180/pi	$\frac{5 π}{18} \cdot \frac{180}{π}$