Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176001	Find the Holes in the Graph	f(x)=(3x^2-12x)/(x^2-2x-3)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
176002	Solve the System of Equations	y=4x-1 and y=-x+4	$y = 4 x - 1$ and $y = - x + 4$
176003	Simplify	(4a^2(a^3))/(16b(b^2))	$\frac{4 a^{2} (a^{3})}{16 b (b^{2})}$
176004	Solve the Inequality for x	x^2<=2x+1	$x^{2} \leq 2 x + 1$
176005	Simplify	7 square root of 24+ square root of 90-8 square root of 54	$7 \sqrt{24} + \sqrt{90} - 8 \sqrt{54}$
176006	Expand the Logarithmic Expression	log of (z^3 cube root of x^5)/(y^2)	$\log (\frac{z^{3} \sqrt[3]{x^{5}}}{y^{2}})$
176007	Solve for g	3/2(1/3g-4)=2(3/2g+3)	$\frac{3}{2} (\frac{1}{3} g - 4) = 2 (\frac{3}{2} g + 3)$
176008	Solve for x	1/4(5x+16/3)-2/3(3/4x+1/2)=-5	$\frac{1}{4} (5 x + \frac{16}{3}) - \frac{2}{3} (\frac{3}{4} x + \frac{1}{2}) = - 5$
176009	Graph	p(x)=(x+1)^2(2x+5)(x-3)^2	$p (x) = {(x + 1)}^{2} (2 x + 5) {(x - 3)}^{2}$
176010	Solve the System of Inequalities	-5x-2<=43 and -42<=-5x-2	$- 5 x - 2 \leq 43$ and $- 42 \leq - 5 x - 2$
176011	Solve for u	-1/5(10-20u)-u=1/3(6u-12)	$- \frac{1}{5} (10 - 20 u) - u = \frac{1}{3} (6 u - 12)$
176012	Solve for x	5 1/2x+2/3x=37	$5 \frac{1}{2} x + \frac{2}{3} x = 37$
176013	Solve the Inequality for x	(x-6)/(x+5)>=(x+7)/(x+3)	$\frac{x - 6}{x + 5} \geq \frac{x + 7}{x + 3}$
176014	Solve for y	2+16y=3x+4	$2 + 16 y = 3 x + 4$
176015	Simplify	33^113^z	$3 \cdot 3^{11} \cdot 3^{z}$
176016	Write in Standard Form	2x^2+9+3x=5x	$2 x^{2} + 9 + 3 x = 5 x$
176017	Solve the Inequality for x	x^2-2x-48>0	$x^{2} - 2 x - 48 > 0$
176018	Find the Midpoint	(7,-2) and (1,-10)	$(7, - 2)$ and $(1, - 10)$
176019	Find All Complex Solutions	-9(z+8)=-9z-72	$- 9 (z + 8) = - 9 z - 72$
176020	Solve the System of Equations	5x-y=3 -2x+4y=-12	$5 x - y = 3$ $- 2 x + 4 y = - 12$
176021	Solve for f	11=18+7f	$11 = 18 + 7 f$
176022	Solve for n	p(n)=52n-0.05n^2	$p (n) = 52 n - 0.05 n^{2}$
176023	Multiply	1/2*4x	$\frac{1}{2} \cdot 4 x$
176024	Solve for x	x/3-5/6=(3(x-3))/12	$\frac{x}{3} - \frac{5}{6} = \frac{3 (x - 3)}{12}$
176025	Graph	y+4x<=x^2+2	$y + 4 x \leq x^{2} + 2$
176026	Graph	y=-f(x)-4	$y = - f (x) - 4$
176027	Solve for x	x/3=(7x)/(12x-15)	$\frac{x}{3} = \frac{7 x}{12 x - 15}$
176028	Simplify	(x+1/(x+2))/(x-1/(x+2))	$\frac{x + \frac{1}{x + 2}}{x - \frac{1}{x + 2}}$
176029	Simplify	cot(x)^2(1+tan(x)^2)	$\cot^{2} (x) (1 + \tan^{2} (x))$
176030	Find the Inverse	f(x)=6x^(1/3)-2	$f (x) = 6 x^{\frac{1}{3}} - 2$
176031	Solve the Inequality for x	(x-3)^2>=1	${(x - 3)}^{2} \geq 1$
176032	Factor	1+q^9	$1 + q^{9}$
176033	Find the Perfect Square Trinomial	x^2+4	$x^{2} + 4$
176034	Simplify	(-3(h^3t^-5)^-3)/(6h^4)	$\frac{- 3 {(h^{3} t^{- 5})}^{- 3}}{6 h^{4}}$
176035	Simplify	(6^(1/3))÷(6^(10/3))	$6^{\frac{1}{3}} \div 6^{\frac{10}{3}}$
176036	Evaluate	10/(0.15(1-0.15))	$\frac{10}{0.15 (1 - 0.15)}$
176037	Solve for x	\|x-6\|>=10	$\| x - 6 \| \geq 10$
176038	Expand the Logarithmic Expression	log of (y^4z)/( cube root of x^2)	$\log (\frac{y^{4} z}{\sqrt[3]{x^{2}}})$
176039	Solve for x	x-7/(x-8)=2/(x-8)	$x - \frac{7}{x - 8} = \frac{2}{x - 8}$
176040	Write in Standard Form	-20=8x-4x^2-3	$- 20 = 8 x - 4 x^{2} - 3$
176041	Solve the Inequality for w	1/6w>=2.5	$\frac{1}{6} w \geq 2.5$
176042	Evaluate	2pi2	$2 \cdot π \cdot 2$
176043	Evaluate the Function	f(x-8) = square root of x+8+2	$f (x - 8) = \sqrt{x + 8} + 2$
176044	Solve for x	-3x-3=-3(x+1)	$- 3 x - 3 = - 3 (x + 1)$
176045	Write in Slope-Intercept Form	y=3(x+1)+5x	$y = 3 (x + 1) + 5 x$
176046	Solve for x	S=H/(M(x-y))	$S = \frac{H}{M (x - y)}$
176047	Solve for h	5h-6-h+10=12	$5 h - 6 - h + 10 = 12$
176048	Solve for x	log base 4 of 4x+ log base 4 of 5=3	$\log_{4} (4 x) + \log_{4} (5) = 3$
176049	Solve for A	A=(a+b)/2*h	$A = \frac{a + b}{2} \cdot h$
176050	Find the Roots (Zeros)	4x^2+29=-28x	$4 x^{2} + 29 = - 28 x$
176051	Solve for x	square root of 2-x = square root of -5-2x	$\sqrt{2 - x} = \sqrt{- 5 - 2 x}$
176052	Simplify	-1/2(b+2)+3b	$- \frac{1}{2} (b + 2) + 3 b$
176053	Solve for x	(2x)/4-5/3=x-7/2	$\frac{2 x}{4} - \frac{5}{3} = x - \frac{7}{2}$
176054	Simplify	(x^2-16x+64)/(4x^2-36x+32)	$\frac{x^{2} - 16 x + 64}{4 x^{2} - 36 x + 32}$
176055	Simplify	(3x^2y)(2xy^3)(4x^2y^2)	$(3 x^{2} y) \cdot (2 x y^{3}) \cdot (4 x^{2} y^{2})$
176056	Find the Degree	arctan(-1)	$\arctan (- 1)$
176057	Solve the Absolute Value Inequality for x	(\|12-x\|)/2=4x	$\frac{\| 12 - x \|}{2} = 4 x$
176058	Solve Using the Quadratic Formula	2-x^2=-11	$2 - x^{2} = - 11$
176059	Simplify	(-2a+5-b)*(-5)	$(- 2 a + 5 - b) \cdot (- 5)$
176060	Subtract	(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)	$(8 r^{6} s^{3} - 9 r^{5} s^{4} + 3 r^{4} s^{5}) - (2 r^{4} s^{5} - 5 r^{3} s^{6} - 4 r^{5} s^{4})$
176061	Solve for x	xm=x+z ; for x	$x m = x + z$ ; for $x$
176062	Solve by Substitution	-5x-9y=33 -y-1=x	$- 5 x - 9 y = 33$ $- y - 1 = x$
176063	Solve for x	(x+2)/3-(2x-4)/2=0	$\frac{x + 2}{3} - \frac{2 x - 4}{2} = 0$
176064	Write in Standard Form	(4x-3)(-2x^2-7x-5)	$(4 x - 3) (- 2 x^{2} - 7 x - 5)$
176065	Find the Midpoint	(2,-9) and (-4,-4)	$(2, - 9)$ and $(- 4, - 4)$
176066	Solve for x	12-1/5x=2x+1	$12 - \frac{1}{5} x = 2 x + 1$
176067	Write in Standard Form	4x^2=x+5	$4 x^{2} = x + 5$
176068	Evaluate	1.17-0.07a+(-3.92a)	$1.17 - 0.07 a + (- 3.92 a)$
176069	Find the x and y Intercepts	y=(2x-1)/(x-7)	$y = \frac{2 x - 1}{x - 7}$
176070	Solve for θ	cos(2theta)+10sin(theta)^2=7	$\cos (2 θ) + 10 \sin^{2} (θ) = 7$
176071	Write in Standard Form	y-4=0	$y - 4 = 0$
176072	Simplify	(125y^2)/(10xy)	$\frac{125 y^{2}}{10 x y}$
176073	Solve the System of Inequalities	x+5>=1 and x-7<-3	$x + 5 \geq 1$ and $x - 7 < - 3$
176074	Solve for h	-2h=4/3(6-3h)+h-3/4(4h+8)	$- 2 h = \frac{4}{3} (6 - 3 h) + h - \frac{3}{4} (4 h + 8)$
176075	Solve the System of Inequalities	2<=5x-3 or 32<5x-3	$2 \leq 5 x - 3$ or $32 < 5 x - 3$
176076	Simplify	2^(-3/2)	$2^{- \frac{3}{2}}$
176077	Simplify	(5+7x^3+3x^2)+(-12+5x+6x^2)	$(5 + 7 x^{3} + 3 x^{2}) + (- 12 + 5 x + 6 x^{2})$
176078	Write in Standard Form	square root of -9+ square root of -4- square root of 16	$\sqrt{- 9} + \sqrt{- 4} - \sqrt{16}$
176079	Solve for x	2-(3x)/(x-10)=x	$2 - \frac{3 x}{x - 10} = x$
176080	Find the x and y Intercepts	y=6(x-1/2)(x+3)	$y = 6 (x - \frac{1}{2}) (x + 3)$
176081	Divide Using Synthetic Division	-4x^3+21x^2-23x+6 by (x-4)	$- 4 x^{3} + 21 x^{2} - 23 x + 6$ by $(x - 4)$
176082	Solve for y	\|6y+2\|=2\|2y-1\|	$\| 6 y + 2 \| = 2 \| 2 y - 1 \|$
176083	Solve for x	square root of 15x+18=5x	$\sqrt{15 x + 18} = 5 x$
176084	Solve for x	4 natural log of x=2 natural log of 25	$4 \ln (x) = 2 \ln (25)$
176085	Graph	f^-1(x)=x	$f^{- 1} (x) = x$
176086	Simplify	4i*(-7+i)	$4 i \cdot (- 7 + i)$
176087	Solve for z	(9z+1/2)^2+61=39	${(9 z + \frac{1}{2})}^{2} + 61 = 39$
176088	Find the Holes in the Graph	f(x)=(-3x-15)/(x^2+7x+10)	$f (x) = \frac{- 3 x - 15}{x^{2} + 7 x + 10}$
176089	Solve for x	-14+6x+7-2x=1+5x	$- 14 + 6 x + 7 - 2 x = 1 + 5 x$
176090	Simplify	-6/5	$\frac{- 6}{5}$
176091	Simplify	((10x^2-7x-12)/(10x+8))÷((2x^2-5x-12)/(x^2-4x))	$\frac{10 x^{2} - 7 x - 12}{10 x + 8} \div \frac{2 x^{2} - 5 x - 12}{x^{2} - 4 x}$
176092	Graph	f(x)=-1/2cos(1/3x)	$f (x) = - \frac{1}{2} \cos (\frac{1}{3} x)$
176093	Evaluate	8-(5-4(-6+7(5-2))-3)	$8 - (5 - 4 (- 6 + 7 (5 - 2)) - 3)$
176094	Write in Standard Form	-3x-9+5x^2=3x	$- 3 x - 9 + 5 x^{2} = 3 x$
176095	Factor	P(x)=x^3+2x^2+4x+8	$P (x) = x^{3} + 2 x^{2} + 4 x + 8$
176096	Solve for x	(6x)/(x-8)+1/x=-x/(x-8)	$\frac{6 x}{x - 8} + \frac{1}{x} = - \frac{x}{x - 8}$
176097	Solve for n	n^3-n=4n^2-4	$n^{3} - n = 4 n^{2} - 4$
176098	Evaluate	16+-4	$16 + - 4$
176099	Solve the Inequality for x	(x-1)(x+2)<=0	$(x - 1) (x + 2) \leq 0$
176100	Solve the Inequality for x	x^3-x>=0	$x^{3} - x \geq 0$