Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
167001	Simplify	(3x)/(8-x)+(7x+1)/(x-8)	$\frac{3 x}{8 - x} + \frac{7 x + 1}{x - 8}$
167002	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-4x+4=0	$x^{2} - 4 x + 4 = 0$
167003	Evaluate	(5^24-54^2)/(5(4))	$\frac{5^{2} \cdot 4 - 5 \cdot 4^{2}}{5 (4)}$
167004	Solve for b	\|7+5b\|=3	$\| 7 + 5 b \| = 3$
167005	Solve the Inequality for h	-7h+2(-4h+5)>-4h+1+10	$- 7 h + 2 (- 4 h + 5) > - 4 h + 1 + 10$
167006	Simplify	cube root of (125x^11)/4	$\sqrt[3]{\frac{125 x^{11}}{4}}$
167007	Find the Holes in the Graph	f(x)=(3x^2-15x)/(-2x+10)	$f (x) = \frac{3 x^{2} - 15 x}{- 2 x + 10}$
167008	Solve for θ	1+sin(theta)=2cos(theta)^2	$1 + \sin (θ) = 2 \cos^{2} (θ)$
167009	Solve the Inequality for x	2x^2+x-6<=0	$2 x^{2} + x - 6 \leq 0$
167010	Subtract	2x^2-1 from 4x^2+2	$2 x^{2} - 1$ from $4 x^{2} + 2$
167011	Combine Like Terms	x-3y^3+3x^3-5x-x^3-x-2x^3	$x - 3 y^{3} + 3 x^{3} - 5 x - x^{3} - x - 2 x^{3}$
167012	Solve for c	17=\|-5c+2\|	$17 = \| - 5 c + 2 \|$
167013	Solve for x	3^(x+1)<=27	$3^{x + 1} \leq 27$
167014	Solve for y	6(2y+6)=4(9+3y)	$6 (2 y + 6) = 4 (9 + 3 y)$
167015	Simplify	(2^(1/2)*2^(3/4))^2 ?	${(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})}^{2}$ ?
167016	Solve for x	3^(2x)+12=39	$3^{2 x} + 12 = 39$
167017	Solve the Inequality for x	x^3+2x^2-4x-8>0	$x^{3} + 2 x^{2} - 4 x - 8 > 0$
167018	Solve the Inequality for x	natural log of x<0	$\ln (x) < 0$
167019	Solve for x	3(2x-1)+7=6x-3-2(2-4x)	$3 (2 x - 1) + 7 = 6 x - 3 - 2 (2 - 4 x)$
167020	Solve the Inequality for x	x^2+x>=2	$x^{2} + x \geq 2$
167021	Simplify	1/5 square root of 75xy^2z^3	$\frac{1}{5} \sqrt{75 x y^{2} z^{3}}$
167022	Evaluate	11/12-1/6q+5/6q-1/3	$\frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3}$
167023	Subtract	8/5-2/10	$\frac{8}{5} - \frac{2}{10}$
167024	Combine Like Terms	7y^2-4x+7x+2-2x-3-7y^2	$7 y^{2} - 4 x + 7 x + 2 - 2 x - 3 - 7 y^{2}$
167025	Simplify	(3x-12)/(9-x)	$\frac{3 x - 12}{9 - x}$
167026	Graph	a=1/2h(b^1+b^2)	$a = \frac{1}{2} h (b^{1} + b^{2})$
167027	Describe the Transformation	F(x)=3x^2	$F (x) = 3 x^{2}$
167028	Graph	y=a\|x\|	$y = a \| x \|$
167029	Solve for a	39=\|-15+4a\|	$39 = \| - 15 + 4 a \|$
167030	Solve the Absolute Value Inequality for w	2\|3w+8\|-13<=-5	$2 \| 3 w + 8 \| - 13 \leq - 5$
167031	Write in Slope-Intercept Form	x+5y<10	$x + 5 y < 10$
167032	Simplify	(x^2-9)/(x-3)*(2x^2-2)/(x^2+4x+3)	$\frac{x^{2} - 9}{x - 3} \cdot \frac{2 x^{2} - 2}{x^{2} + 4 x + 3}$
167033	Simplify	4a^2b-8ab+9ab-6a^2b	$4 a^{2} b - 8 a b + 9 a b - 6 a^{2} b$
167034	Solve for b	b^2+3b=-3	$b^{2} + 3 b = - 3$
167035	Solve the Inequality for x	\|x-4\|<9	$\| x - 4 \| < 9$
167036	Simplify	((m^5n)/(pq^2))^4	${(\frac{m^{5} n}{p q^{2}})}^{4}$
167037	Factor	a(x-1)-(a+2)(x-1)	$a (x - 1) - (a + 2) (x - 1)$
167038	Evaluate	20(-1.5r+0.75)	$20 (- 1.5 r + 0.75)$
167039	Solve the Inequality for n	-9+3(7n+1)<=2n-1+5n	$- 9 + 3 (7 n + 1) \leq 2 n - 1 + 5 n$
167040	Solve for x	-8/(x+2)+1=(2x)/(x+2)	$- \frac{8}{x + 2} + 1 = \frac{2 x}{x + 2}$
167041	Evaluate	log base 3 of a* log of 3	$\log_{3} (a) \cdot \log (3)$
167042	Simplify	(-6y^4)/((-2y^-5)^5)	$\frac{- 6 y^{4}}{{(- 2 y^{- 5})}^{5}}$
167043	Evaluate	3(4-8+4^2(2+5))	$3 (4 - 8 + 4^{2} (2 + 5))$
167044	Solve for r	92=-4(2r-5)	$92 = - 4 (2 r - 5)$
167045	Multiply	-2*2/3	$- 2 \cdot \frac{2}{3}$
167046	Graph	y>2/3x+3 y<=-1/3x+2	$y > \frac{2}{3} x + 3$ $y \leq - \frac{1}{3} x + 2$
167047	Solve for x	x+1=2/(x+1)	$x + 1 = \frac{2}{x + 1}$
167048	Find the Product	( square root of 3x+ square root of 5)( square root of 15x+2 square root of 30)	$(\sqrt{3 x} + \sqrt{5}) (\sqrt{15 x} + 2 \sqrt{30})$
167049	Factor	9xz^3+18yz^2+24z^2	$9 x z^{3} + 18 y z^{2} + 24 z^{2}$
167050	Graph	y=-5/4(x-1)(x+3)	$y = - \frac{5}{4} (x - 1) (x + 3)$
167051	Simplify	(4+i)/(-3-2i)	$\frac{4 + i}{- 3 - 2 i}$
167052	Describe the Transformation	y=-2x^2	$y = - 2 x^{2}$
167053	Multiply	x^2*1/x	$x^{2} \cdot \frac{1}{x}$
167054	Simplify	((s^2-2s)/(s^2+3s-10))÷((s-5)/(s+5))	$\frac{s^{2} - 2 s}{s^{2} + 3 s - 10} \div \frac{s - 5}{s + 5}$
167055	Solve for x	1=2^x	$1 = 2^{x}$
167056	Solve for x	125^(-x-7)*5^(6x-12)=125^(2x+3)	$125^{- x - 7} \cdot 5^{6 x - 12} = 125^{2 x + 3}$
167057	Multiply	3h(-h^2+2h-1)	$3 h (- h^{2} + 2 h - 1)$
167058	Solve the Inequality for a	-7a-11<1-4a	$- 7 a - 11 < 1 - 4 a$
167059	Combine Like Terms	4-5-2x-4y+4-5x+7y	$4 - 5 - 2 x - 4 y + 4 - 5 x + 7 y$
167060	Solve for a	y=ax^2	$y = a x^{2}$
167061	Find the LCD	2/(x^2-x-12) and (5x)/(x^2-16x+48)	$\frac{2}{x^{2} - x - 12}$ and $\frac{5 x}{x^{2} - 16 x + 48}$
167062	Solve for x	58-10x<=20+9x	$58 - 10 x \leq 20 + 9 x$
167063	Find f(g(x))	f(x)=2x+1 , g(x) = square root of x	$f (x) = 2 x + 1$ , $g (x) = \sqrt{x}$
167064	Find All Complex Solutions	\|2x-1\|=5	$\| 2 x - 1 \| = 5$
167065	Solve for d	4-d<4+d	$4 - d < 4 + d$
167066	Solve the Inequality for x	x^2-36<0	$x^{2} - 36 < 0$
167067	Graph	y=-1/2f(x)	$y = - \frac{1}{2} f (x)$
167068	Solve for x	5+\|3x+4\|=7	$5 + \| 3 x + 4 \| = 7$
167069	Simplify	((-4d^4)^2)/(-5d^-10)	$\frac{{(- 4 d^{4})}^{2}}{- 5 d^{- 10}}$
167070	Solve for s	1/2+2/5s=s-3/4	$\frac{1}{2} + \frac{2}{5} s = s - \frac{3}{4}$
167071	Solve for x	square root of x+2+1 = square root of 3x+3	$\sqrt{x + 2} + 1 = \sqrt{3 x + 3}$
167072	Simplify	(3x^-6y^2)^3*2x^10y^-7	${(3 x^{- 6} y^{2})}^{3} \cdot 2 x^{10} y^{- 7}$
167073	Graph	y+4<=1/2x-2	$y + 4 \leq \frac{1}{2} x - 2$
167074	Divide	3/4-1/6	$\frac{3}{4} - \frac{1}{6}$
167075	Multiply	4/x*(x^2)/2	$\frac{4}{x} \cdot \frac{x^{2}}{2}$
167076	Solve the Inequality for y	15y-9<36	$15 y - 9 < 36$
167077	Simplify	((-8r^6s^3)/r)^3	${(\frac{- 8 r^{6} s^{3}}{r})}^{3}$
167078	Find the LCD	3/(x^2+6x-27) and x/(x^2+10x+9)	$\frac{3}{x^{2} + 6 x - 27}$ and $\frac{x}{x^{2} + 10 x + 9}$
167079	Solve for x	-7=-ax-16	$- 7 = - a x - 16$
167080	Combine Like Terms	7y^3-7x^3+4-5+6-3x^3+6x^3	$7 y^{3} - 7 x^{3} + 4 - 5 + 6 - 3 x^{3} + 6 x^{3}$
167081	Factor	5x^2-4-x^4	$5 x^{2} - 4 - x^{4}$
167082	Graph	y=-3x+4 y=3x-2	$y = - 3 x + 4$ $y = 3 x - 2$
167083	Combine Like Terms	2y-y+7-1+3+7x^2-4y	$2 y - y + 7 - 1 + 3 + 7 x^{2} - 4 y$
167084	Solve the System of Equations	-x+y=-13 -8x-4y=-8	$- x + y = - 13$ $- 8 x - 4 y = - 8$
167085	Simplify	(14-18)/(0-2)	$\frac{14 - 18}{0 - 2}$
167086	Find the Inverse	f(n)=(-16+n)/4	$f (n) = \frac{- 16 + n}{4}$
167087	Solve for x	10=-4x+3x^2	$10 = - 4 x + 3 x^{2}$
167088	Solve for x	x+9=x^2+20x+100	$x + 9 = x^{2} + 20 x + 100$
167089	Find the Holes in the Graph	h(x)=x/(x(x-3))	$h (x) = \frac{x}{x (x - 3)}$
167090	Simplify	-2i*2i	$- 2 i \cdot 2 i$
167091	Solve the Inequality for s	-2(6+s)>=-15-2s	$- 2 (6 + s) \geq - 15 - 2 s$
167092	Graph	1+m/3<=6	$1 + \frac{m}{3} \leq 6$
167093	Solve for x	\|3x-5\|+3=x	$\| 3 x - 5 \| + 3 = x$
167094	Factor	-7x^3+x^5+12x	$- 7 x^{3} + x^{5} + 12 x$
167095	Find the Degree, Leading Term, and Leading Coefficient	5z^3-2z^4-9z^2+z	$5 z^{3} - 2 z^{4} - 9 z^{2} + z$
167096	Solve for F	F=(9/5*C)+32	$F = (\frac{9}{5} \times C) + 32$
167097	Divide	((7x^2)/(2x+6))÷((3x-5)/(x+3))	$\frac{7 x^{2}}{2 x + 6} \div \frac{3 x - 5}{x + 3}$
167098	Evaluate	log base 3 of b* log base b of 27	$\log_{3} (b) \cdot \log_{b} (27)$
167099	Combine Like Terms	4x+4y^3-5+6-2y^3-5y^3+5x	$4 x + 4 y^{3} - 5 + 6 - 2 y^{3} - 5 y^{3} + 5 x$
167100	Simplify	4-7x^3+6x^2+3x^3-3+2x^2	$4 - 7 x^{3} + 6 x^{2} + 3 x^{3} - 3 + 2 x^{2}$