Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9801	Solve for y	4y-4=0	$4 y - 4 = 0$
9802	Solve for y	-5x+3iy=10-9i	$- 5 x + 3 i y = 10 - 9 i$
9803	Solve for y	5y-6=26	$5 y - 6 = 26$
9804	Solve for y	y-(6)=-2/3*(x-(-8))	$y - (6) = - \frac{2}{3} \cdot (x - (- 8))$
9805	Solve for y	y=6.9e^(-0.0477*6)	$y = 6.9 e^{- 0.0477 \cdot 6}$
9806	Solve for y	x=(3y-1)/(y+2)	$x = \frac{3 y - 1}{y + 2}$
9807	Solve for y	x=km/(y-z)	$x = \frac{km}{y - z}$
9808	Solve for y	x=y^3-5	$x = y^{3} - 5$
9809	Solve for y	x=0.5y+1	$x = 0.5 y + 1$
9810	Solve for y	x-y=2	$x - y = 2$
9811	Solve for y	x+8=2(y+3)^2	$x + 8 = 2 {(y + 3)}^{2}$
9812	Solve for y	y=(4000)(1.042)^(1/12)	$y = (4000) {(1.042)}^{\frac{1}{12}}$
9813	Solve for y	x=3y+10	$x = 3 y + 10$
9814	Solve for y	y=1.8^x	$y = {1.8}^{x}$
9815	Solve for y	y=1/3	$y = \frac{1}{3}$
9816	Solve for y	y=(2(3)+1)/(3-1)	$y = \frac{2 (3) + 1}{3 - 1}$
9817	Simplify	((c^4d^3)/(cd^2))((d^2)/(c^3))^3	$(\frac{c^{4} d^{3}}{c d^{2}}) {(\frac{d^{2}}{c^{3}})}^{3}$
9818	Simplify	((x^(-5/3))/(y^(1/5)))((x^-5)/(y^-3))^(1/15)	$(\frac{x^{- \frac{5}{3}}}{y^{\frac{1}{5}}}) {(\frac{x^{- 5}}{y^{- 3}})}^{\frac{1}{15}}$
9819	Simplify	(( square root of 2)/2-( square root of 2)/2i)-(( square root of 2)/2+( square root of 2)/2i)	$(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2} \cdot i) - (\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} \cdot i)$
9820	Simplify	((x^2+2xy+y^2)/(x^2-y^2))((5x^2-xy-4y^2)/(4x^2-xy-5y^2))	$(\frac{x^{2} + 2 x y + y^{2}}{x^{2} - y^{2}}) (\frac{5 x^{2} - x y - 4 y^{2}}{4 x^{2} - x y - 5 y^{2}})$
9821	Simplify	(x-6i)(x+6i)	$(x - 6 i) (x + 6 i)$
9822	Solve for z	(z-3)^2-3(z-3)-28=0	${(z - 3)}^{2} - 3 (z - 3) - 28 = 0$
9823	Solve for Z	2cos(x)- square root of 2=0	$2 \cos (x) - \sqrt{2} = 0$
9824	Solve for Z	cos(x)-sin(x)=0	$\cos (x) - \sin (x) = 0$
9825	Solve for z	cot(x)=1/(8/9)	$\cot (x) = \frac{1}{\frac{8}{9}}$
9826	Solve for x	natural log of x+ natural log of x+3 = natural log of 10	$\ln (x) + \ln (x + 3) = \ln (10)$
9827	Solve for z	z=4(cos(90)+isin(90))	$z = 4 (\cos (90) + i \sin (90))$
9828	Simplify	(3/4+7/5i)-(5/6-1/6i)	$(\frac{3}{4} + \frac{7}{5} \cdot i) - (\frac{5}{6} - \frac{1}{6} \cdot i)$
9829	Simplify	(16/20)sin(30)	$(\frac{16}{20}) \sin (30)$
9830	Simplify	(b^2+ab-2)-(2b^2+2ab)	$(b^{2} + a b - 2) - (2 b^{2} + 2 a b)$
9831	Simplify	((4a)/(3(a-4)))((9(a-4))/(16a^2))	$(\frac{4 a}{3 (a - 4)}) (\frac{9 (a - 4)}{16 a^{2}})$
9832	Simplify	(8/x)-(10/(x+10))	$(\frac{8}{x}) - (\frac{10}{x + 10})$
9833	Simplify	(4/3)pr^3	$(\frac{4}{3}) p r^{3}$
9834	Simplify	(3/x)-(5/(x+5))	$(\frac{3}{x}) - (\frac{5}{x + 5})$
9835	Simplify	(1/x-x)(1/(x+1)-1)	$(\frac{1}{x} - x) (\frac{1}{x + 1} - 1)$
9836	Simplify	((2x+3)/(3x-2))((4x)/(3x-2))	$(\frac{2 x + 3}{3 x - 2}) (\frac{4 x}{3 x - 2})$
9837	Simplify	(1/3-1/5i)(1/3+1/5i)	$(\frac{1}{3} - \frac{1}{5} \cdot i) (\frac{1}{3} + \frac{1}{5} \cdot i)$
9838	Simplify	(1/2-i)(1/4+2i)	$(\frac{1}{2} - i) (\frac{1}{4} + 2 i)$
9839	Simplify	(1/(csc(x)))(1/(sin(x)))	$(\frac{1}{\csc (x)}) (\frac{1}{\sin (x)})$
9840	Simplify	(18/x)x^2	$(\frac{18}{x}) x^{2}$
9841	Solve for y	-3y+xy=-5x	$- 3 y + x y = - 5 x$
9842	Solve for y	20y^-2-20y^-1+32=0	$20 y^{- 2} - 20 y^{- 1} + 32 = 0$
9843	Solve for y	-2x-1+2yi=4x-5i	$- 2 x - 1 + 2 y i = 4 x - 5 i$
9844	Solve for y	6/(y+4)+1=5/(2y+8)	$\frac{6}{y + 4} + 1 = \frac{5}{2 y + 8}$
9845	Solve for y	4x+8y=4	$4 x + 8 y = 4$
9846	Solve for y	4y^2=48	$4 y^{2} = 48$
9847	Solve for y	x-y^2=5	$x - y^{2} = 5$
9848	Solve for y	3x-5y=2	$3 x - 5 y = 2$
9849	Solve for y	y square root of x=2	$y \sqrt{x} = 2$
9850	Solve for y	y-3=-5/2*(x-3)	$y - 3 = - \frac{5}{2} \cdot (x - 3)$
9851	Solve for y	y=6*-6+42	$y = 6 \cdot - 6 + 42$
9852	Solve for y	y=x^2-3	$y = x^{2} - 3$
9853	Solve for y	y=-10x+7	$y = - 10 x + 7$
9854	Solve for y	y=2cos((5pi)/4)	$y = 2 \cos (\frac{5 π}{4})$
9855	Solve for y	y=-3x+2	$y = - 3 x + 2$
9856	Solve for y	y=3/4x-2	$y = \frac{3}{4} x - 2$
9857	Solve for y	x=(y+3)/(y-2)	$x = \frac{y + 3}{y - 2}$
9858	Solve for y	y=(4-(-10))^2+3(-10)	$y = {(4 - (- 10))}^{2} + 3 (- 10)$
9859	Solve for y	y=1/4x^2-2x-12	$y = \frac{1}{4} x^{2} - 2 x - 12$
9860	Solve for y	y=e^x+2	$y = e^{x} + 2$
9861	Simplify	(1+sin(y))(1+sin(-y))	$(1 + \sin (y)) (1 + \sin (- y))$
9862	Simplify	(10x^4y^2+9x^3y+5y)-(9x^4y^2+12x^3y+2y-3x)	$(10 x^{4} y^{2} + 9 x^{3} y + 5 y) - (9 x^{4} y^{2} + 12 x^{3} y + 2 y - 3 x)$
9863	Simplify	-1+3i+(-9-6i)	$- 1 + 3 i + (- 9 - 6 i)$
9864	Simplify	(-1+6i)(5+i)	$(- 1 + 6 i) (5 + i)$
9865	Simplify	(10+7i)-(5+3i)	$(10 + 7 i) - (5 + 3 i)$
9866	Simplify	(-10-16i)-(-12-11i)	$(- 10 - 16 i) - (- 12 - 11 i)$
9867	Simplify	(10x-12)(10x-5)	$(10 x - 12) (10 x - 5)$
9868	Simplify	(1-sin(x)^2)tan(x)^2	$(1 - \sin^{2} (x)) \tan^{2} (x)$
9869	Simplify	(1-sin(w)^2)cos(w)	$(1 - \sin^{2} (w)) \cos (w)$
9870	Simplify	(1-(sin(x)^2))/(cos(x))	$\frac{1 - (\sin^{2} (x))}{\cos (x)}$
9871	Simplify	(1+2i)(3-4i)	$(1 + 2 i) (3 - 4 i)$
9872	Simplify	(1+3i)-(-2+7i)	$(1 + 3 i) - (- 2 + 7 i)$
9873	Simplify	(1+3i)(2-7i)	$(1 + 3 i) (2 - 7 i)$
9874	Simplify	(x^3-2x+1)(x^3+x^2-5)	$(x^{3} - 2 x + 1) (x^{3} + x^{2} - 5)$
9875	Simplify	( square root of 2x)( square root of 2x)-x^2	$(\sqrt{2 x}) (\sqrt{2 x}) - x^{2}$
9876	Simplify	(x^(1/3)+y^(1/2))(2x^(1/3)-y^(3/2))	$(x^{\frac{1}{3}} + y^{\frac{1}{2}}) (2 x^{\frac{1}{3}} - y^{\frac{3}{2}})$
9877	Simplify	(x^(1/3)+y^(1/3))(x^(2/3)+x^(1/3)y^(1/3)+y^(2/3))	$(x^{\frac{1}{3}} + y^{\frac{1}{3}}) (x^{\frac{2}{3}} + x^{\frac{1}{3}} y^{\frac{1}{3}} + y^{\frac{2}{3}})$
9878	Simplify	sin(4x)^4	$\sin^{4} (4 x)$
9879	Simplify	(x^2+1)(x^2-1)	$(x^{2} + 1) (x^{2} - 1)$
9880	Simplify	(x^2+6)(x^2-2)(2)	$(x^{2} + 6) (x^{2} - 2) (2)$
9881	Simplify	(x^2+2xh+h^2)(x+h)	$(x^{2} + 2 x h + h^{2}) (x + h)$
9882	Simplify	((x+h)^6-x^6)/h	$\frac{{(x + h)}^{6} - x^{6}}{h}$
9883	Simplify	(1-i)(2+2i)	$(1 - i) (2 + 2 i)$
9884	Simplify	(1-cos(x))(1+sec(x))cos(x)	$(1 - \cos (x)) (1 + \sec (x)) \cos (x)$
9885	Simplify	(-14-3i)-(-8+17i)	$(- 14 - 3 i) - (- 8 + 17 i)$
9886	Simplify	(1-x)(1-x)	$(1 - x) (1 - x)$
9887	Simplify	(1-cos(x))(1+sec(x))(cos(x))	$(1 - \cos (x)) \cdot (1 + \sec (x)) \cdot (\cos (x))$
9888	Simplify	(f/g)(8)	$(\frac{f}{g}) (8)$
9889	Simplify	(1-sin(a))(1+sin(a))	$(1 - \sin (a)) (1 + \sin (a))$
9890	Simplify	(1-sin(x))*(1+sin(x))	$(1 - \sin (x)) \cdot (1 + \sin (x))$
9891	Simplify	(1-tan(x))(1-cot(x))	$(1 - \tan (x)) (1 - \cot (x))$
9892	Simplify	(2u^2v^3)(3u^3v)^-2	$(2 u^{2} v^{3}) {(3 u^{3} v)}^{- 2}$
9893	Simplify	(12+5i)(2-i)	$(12 + 5 i) (2 - i)$
9894	Simplify	12+6i+(14+3i)	$12 + 6 i + (14 + 3 i)$
9895	Simplify	(-1-3i)(2+2i)(1-2i)	$(- 1 - 3 i) (2 + 2 i) (1 - 2 i)$
9896	Simplify	(15x^2-6)-(-8.3x^3-14.7x^2-17)	$(15 x^{2} - 6) - (- 8.3 x^{3} - 14.7 x^{2} - 17)$
9897	Simplify	(2+3i)(3-5i)	$(2 + 3 i) (3 - 5 i)$
9898	Simplify	(2+3i)(2-3i)i^245	$(2 + 3 i) (2 - 3 i) i^{245}$
9899	Simplify	(2x^2-x-3)(x+1)	$(2 x^{2} - x - 3) (x + 1)$
9900	Simplify	(2r^2-5)(2r^2+5)	$(2 r^{2} - 5) (2 r^{2} + 5)$