Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
238101	Solve for y	-7(y-4)=-2(9+y)	$- 7 (y - 4) = - 2 (9 + y)$
238102	Evaluate	(x+3)^2-1	${(x + 3)}^{2} - 1$
238103	Simplify	cube root of 216-3 cube root of -729+3 square root of -49	$\sqrt[3]{216} - 3 \sqrt[3]{- 729} + 3 \sqrt{- 49}$
238104	Simplify the Radical Expression	5 square root of 20*3 square root of 8	$5 \sqrt{20} \cdot 3 \sqrt{8}$
238105	Simplify	(5x-1)/(x^2-3x+2)+3/(2x-4)	$\frac{5 x - 1}{x^{2} - 3 x + 2} + \frac{3}{2 x - 4}$
238106	Graph	If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2 ; what is the value of a ?	If two lines are parallel and they are defined by the equations, $y = 4 x - 5$ and $y = a x + 2$ ; what is the value of $a$ ?
238107	Simplify	( cube root of 32m^6)( cube root of 3125m^7)	$(\sqrt[3]{32 m^{6}}) (\sqrt[3]{3125 m^{7}})$
238108	Solve the Inequality for x	4\|x+5\|+1<=33	$4 \| x + 5 \| + 1 \leq 33$
238109	Solve for x	x+3 = square root of 2x-1+5	$x + 3 = \sqrt{2 x - 1 + 5}$
238110	Simplify	x/4+x/2+(3x)/4	$\frac{x}{4} + \frac{x}{2} + \frac{3 x}{4}$
238111	Find All Complex Solutions	5(y+1)-y=4(y-1)+9	$5 (y + 1) - y = 4 (y - 1) + 9$
238112	Solve for t	t=2pi square root of l/9.8	$t = 2 π \sqrt{\frac{l}{9.8}}$
238113	Simplify	square root of x^5y^5*3 square root of 5x^13y^8	$\sqrt{x^{5} y^{5}} \cdot 3 \sqrt{5 x^{13} y^{8}}$
238114	Simplify	(y^2)/(8c^2d^2)-(3x)/(14c^4d)	$\frac{y^{2}}{8 c^{2} d^{2}} - \frac{3 x}{14 c^{4} d}$
238115	Solve the Inequality for x	-1/4>=8x-(6x+9)+6	$- \frac{1}{4} \geq 8 x - (6 x + 9) + 6$
238116	Evaluate Using the Given Value	8-5xy^3 for x=3 and y=-2	$8 - 5 x y^{3}$ for $x = 3$ and $y = - 2$
238117	Simplify	x^2+3x-7-4x^2+5x-2	$x^{2} + 3 x - 7 - 4 x^{2} + 5 x - 2$
238118	Simplify	3/( sixth root of 2x^4)	$\frac{3}{\sqrt[6]{2 x^{4}}}$
238119	Solve the System of Inequalities	x>-3 and x<2	$x > - 3$ and $x < 2$
238120	Evaluate	4-(6+(-5+(12-8)))	$4 - (6 + (- 5 + (12 - 8)))$
238121	Evaluate	3(1/21013)+(1/2108.7)	$3 (\frac{1}{2} \cdot 10 \cdot 13) + (\frac{1}{2} \cdot 10 \cdot 8.7)$
238122	Simplify	-6/(3 square root of 5)	$- \frac{6}{3 \sqrt{5}}$
238123	Solve for v	v^3-8=0	$v^{3} - 8 = 0$
238124	Simplify	(x+y)(x-y)(x+y)	$(x + y) (x - y) (x + y)$
238125	Find the Inverse	y=- square root of x+3	$y = - \sqrt{x + 3}$
238126	Solve the Inequality for z	-3(z-3)<=21	$- 3 (z - 3) \leq 21$
238127	Simplify	i(3-2i)+(1+4i)	$i (3 - 2 i) + (1 + 4 i)$
238128	Evaluate	\|3x-2\|+4=21	$\| 3 x - 2 \| + 4 = 21$
238129	Solve the System of Inequalities	3x-7<=5x+5 and -4x+8<5x-1	$3 x - 7 \leq 5 x + 5$ and $- 4 x + 8 < 5 x - 1$
238130	Simplify	12(2+2/3x)	$12 (2 + \frac{2}{3} x)$
238131	Simplify	((3m^2t^5)/(2m^3t^-1))^2	${(\frac{3 m^{2} t^{5}}{2 m^{3} t^{- 1}})}^{2}$
238132	Determine the Possible Number of Real Roots	3x^4-6x^3+2x+4=0	$3 x^{4} - 6 x^{3} + 2 x + 4 = 0$
238133	Write the Fraction in Simplest Form	(-3(q^-2a^5)^3)/(15q^8a^5)	$\frac{- 3 {(q^{- 2} a^{5})}^{3}}{15 q^{8} a^{5}}$
238134	Graph	y>=0 y<x x+y<6	$y \geq 0$ $y < x$ $x + y < 6$
238135	Simplify	3 square root of 5- square root of x+4 square root of 5+3 square root of x	$3 \sqrt{5} - \sqrt{x} + 4 \sqrt{5} + 3 \sqrt{x}$
238136	Find the Exact Value	cos((11pi)/12)cos(pi/6)+sin((11pi)/12)sin(pi/6)	$\cos (\frac{11 π}{12}) \cos (\frac{π}{6}) + \sin (\frac{11 π}{12}) \sin (\frac{π}{6})$
238137	Solve for u	(cos(u)sec(u))/(tan(u))=(f(u))/(g(u))	$\frac{\cos (u) \sec (u)}{\tan (u)} = \frac{f (u)}{g (u)}$
238138	Solve for a	3(4-a)=2(a+6)	$3 (4 - a) = 2 (a + 6)$
238139	Simplify the Radical Expression	9^-2	$9^{- 2}$
238140	Simplify	(x^5+x^3+3x-2)+(x^4+9x^2-8)	$(x^{5} + x^{3} + 3 x - 2) + (x^{4} + 9 x^{2} - 8)$
238141	Simplify	(3a^4+2a^2-5a-10)-(4a^4+a^3+2a^2-5)	$(3 a^{4} + 2 a^{2} - 5 a - 10) - (4 a^{4} + a^{3} + 2 a^{2} - 5)$
238142	Simplify	square root of 99-2 square root of 27+4 square root of 3-6 square root of 176	$\sqrt{99} - 2 \sqrt{27} + 4 \sqrt{3} - 6 \sqrt{176}$
238143	Simplify	(x^-2y^-1)^-3	${(x^{- 2} y^{- 1})}^{- 3}$
238144	Simplify	(-(-8)+- square root of (-8)^2-42-1)/(2(2))	$\frac{- (- 8) + - \sqrt{{(- 8)}^{2} - 4 \cdot 2 \cdot - 1}}{2 (2)}$
238145	Solve for k	y=2pi-3picot((4pi)/k)(x-2)	$y = 2 π - 3 π \cot (\frac{4 π}{k}) (x - 2)$
238146	Find the End Behavior	p(x)=1/2x^2+3x-4x^3+6x^4-1	$p (x) = \frac{1}{2} x^{2} + 3 x - 4 x^{3} + 6 x^{4} - 1$
238147	Solve for x	x/(x^2-9)=3/(x^2-9)-4/(x+3)	$\frac{x}{x^{2} - 9} = \frac{3}{x^{2} - 9} - \frac{4}{x + 3}$
238148	Factor	10x^5-4x^2y+15x^3y-6y^2	$10 x^{5} - 4 x^{2} y + 15 x^{3} y - 6 y^{2}$
238149	Simplify the Radical Expression	- square root of 25+ square root of -7- square root of 100- square root of -63	$- \sqrt{25} + \sqrt{- 7} - \sqrt{100} - \sqrt{- 63}$
238150	Simplify	ab-a^2+4^2-5ab+3a^2+10	$a b - a^{2} + 4^{2} - 5 a b + 3 a^{2} + 10$
238151	Solve in Terms of the Arbitrary Variable Sₙ	S_n=1512 , n=6 , r=2	$S_{n} = 1512$ , $n = 6$ , $r = 2$
238152	Solve for y	ax-3y=b	$a x - 3 y = b$
238153	Find the x and y Intercepts	f(x)=(2x^3+x^2-8x-4)/(x^2-3x+2)	$f (x) = \frac{2 x^{3} + x^{2} - 8 x - 4}{x^{2} - 3 x + 2}$
238154	Solve for m	4m-5+3m+3=180	$4 m - 5 + 3 m + 3 = 180$
238155	Solve Over the Interval	2sin(x)^2tan(x)=tan(x) , [0,2pi)	$2 \sin^{2} (x) \tan (x) = \tan (x)$ , $[0, 2 π)$
238156	Solve for y	(y-1)/4+1/3=7/12	$\frac{y - 1}{4} + \frac{1}{3} = \frac{7}{12}$
238157	Simplify	cot(x)cos(x)sin(x)+sin(x)^2	$\cot (x) \cos (x) \sin (x) + \sin^{2} (x)$
238158	Simplify	(3^25^5)/(35^2)	$\frac{3^{2} \cdot 5^{5}}{3 \cdot 5^{2}}$
238159	Evaluate	(3a^3b^3)(4ab^2)^2	$(3 a^{3} b^{3}) {(4 a b^{2})}^{2}$
238160	Solve for a	2(-7a+6)=-16-7a	$2 (- 7 a + 6) = - 16 - 7 a$
238161	Simplify	(2x^0y^3)/((x^0y^3)^4)	$\frac{2 x^{0} y^{3}}{{(x^{0} y^{3})}^{4}}$
238162	Graph	Graph y=-5	Graph $y = - 5$
238163	Solve the Inequality for x	2+x<9x+6	$2 + x < 9 x + 6$
238164	Simplify	(8xy^2+6x^2y+17y^2)-(3x^2y-6y+3y^2)	$(8 x y^{2} + 6 x^{2} y + 17 y^{2}) - (3 x^{2} y - 6 y + 3 y^{2})$
238165	Solve for x	x^4+4x^3+3x^2+4x+4=0	$x^{4} + 4 x^{3} + 3 x^{2} + 4 x + 4 = 0$
238166	Graph	Graph the line y=3	Graph the line $y = 3$
238167	Solve the System of Equations	y=3/2x+2 y=1/2x+4	$y = \frac{3}{2} x + 2$ $y = \frac{1}{2} x + 4$
238168	Solve the Rational Equation for b	square root of -5-b = square root of 5b+25	$\sqrt{- 5 - b} = \sqrt{5 b + 25}$
238169	Solve the System of Inequalities	3y>2x+12 2x+y<=-5	$3 y > 2 x + 12$ $2 x + y \leq - 5$
238170	Simplify	3q+2r+q+q+q+q+q	$3 q + 2 r + q + q + q + q + q$
238171	Solve for x	9^(x-6)=729^(3(x+2))	$9^{x - 6} = 729^{3 (x + 2)}$
238172	Solve for x	1+3/(3-x)=(x+3)/(x^2-9)	$1 + \frac{3}{3 - x} = \frac{x + 3}{x^{2} - 9}$
238173	Divide	(15x^5y^4-25x^4y^3)/(5x^2y^3)	$\frac{15 x^{5} y^{4} - 25 x^{4} y^{3}}{5 x^{2} y^{3}}$
238174	Solve for a	x^2+4x-9=(x+a)^2+b	$x^{2} + 4 x - 9 = {(x + a)}^{2} + b$
238175	Simplify	(4/27)^(-1/3)	${(\frac{4}{27})}^{- \frac{1}{3}}$
238176	Solve Using the Quadratic Formula	e+1.2=2	$e + 1.2 = 2$
238177	Simplify	(2m^2)^3*(3m^3)^2	${(2 m^{2})}^{3} \cdot {(3 m^{3})}^{2}$
238178	Solve for x	(2x)/3+1/2=5/6	$\frac{2 x}{3} + \frac{1}{2} = \frac{5}{6}$
238179	Simplify	63÷7-3*2+4	$63 \div 7 - 3 \cdot 2 + 4$
238180	Evaluate	1/2*3^1	$\frac{1}{2} \cdot 3^{1}$
238181	Solve the Inequality for x	2x-3y>=12	$2 x - 3 y \geq 12$
238182	Simplify	(-3)(2/5x)(-20)	$(- 3) (\frac{2}{5} x) (- 20)$
238183	Evaluate	20÷(-4)3+2+65	$20 \div (- 4) \cdot 3 + 2 + 6 \cdot 5$
238184	Solve for x	x square root of 2 = square root of 5	$x \sqrt{2} = \sqrt{5}$
238185	Solve for x	-10+3(4x)^(-1/6)=-17/2	$- 10 + 3 {(4 x)}^{- \frac{1}{6}} = - \frac{17}{2}$
238186	Solve for c	a=h(b+c)	$a = h (b + c)$
238187	Simplify	10^7+9+1^3	$10^{7} + 9 + 1^{3}$
238188	Factor	125x^9+64y^3z^12	$125 x^{9} + 64 y^{3} z^{12}$
238189	Solve for n	8*3^(n-1)-21=51	$8 \cdot 3^{n - 1} - 21 = 51$
238190	Simplify	11b^3+5c^5+23+a^2-6c^5-3b^3-6a^2-16	$11 b^{3} + 5 c^{5} + 23 + a^{2} - 6 c^{5} - 3 b^{3} - 6 a^{2} - 16$
238191	Solve for P₁	natural log of P_2/P_1=-H/R*(1/T_2-1/T_1)	$\ln (\frac{P_{2}}{P_{1}}) = - \frac{H}{R} \cdot (\frac{1}{T_{2}} - \frac{1}{T_{1}})$
238192	Find the Exact Value	10^7+9+1^3	$10^{7} + 9 + 1^{3}$
238193	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x-4)^2(x+1)	$f (x) = {(x - 4)}^{2} (x + 1)$
238194	Find the Inverse	f(x)=(7-2x)/(3x)	$f (x) = \frac{7 - 2 x}{3 x}$
238195	Solve by Addition/Elimination	x+3y+2z=2 -2x-2y=-12 -x-2y-z=-4	$x + 3 y + 2 z = 2$ $- 2 x - 2 y = - 12$ $- x - 2 y - z = - 4$
238196	Solve for M	M=(-1/8)^(-3^-1)+(1/16)^(-4^-1)	$M = {(- \frac{1}{8})}^{- 3^{- 1}} + {(\frac{1}{16})}^{- 4^{- 1}}$
238197	Simplify	((2ab^2c^3)/(3a^2c))^-3	${(\frac{2 a b^{2} c^{3}}{3 a^{2} c})}^{- 3}$
238198	Subtract	8/7-4/(7x)	$\frac{8}{7} - \frac{4}{7 x}$
238199	Solve for x	square root of 4x+28-3 square root of 2x=0	$\sqrt{4 x + 28} - 3 \sqrt{2 x} = 0$
238200	Solve the Inequality for x	sin(x)<=1/2	$\sin (x) \leq \frac{1}{2}$