Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185701	Solve for x	-160=6x-8(5x+3)	$- 160 = 6 x - 8 (5 x + 3)$
185702	Solve for B	A=4/7(B+C)	$A = \frac{4}{7} (B + C)$
185703	Solve for x	7^-2=x	$7^{- 2} = x$
185704	Solve for t	2^t = square root of 10	$2^{t} = \sqrt{10}$
185705	Divide	(32a^7b^5+48a^6b^4-a^4b^3)/(8ab^3)	$\frac{32 a^{7} b^{5} + 48 a^{6} b^{4} - a^{4} b^{3}}{8 a b^{3}}$
185706	Write in Standard Form	(t+1)^2+(t-8)^2=45	${(t + 1)}^{2} + {(t - 8)}^{2} = 45$
185707	Simplify	(5/a+1)/(a/5-5/a)	$\frac{\frac{5}{a} + 1}{\frac{a}{5} - \frac{5}{a}}$
185708	Solve the Inequality for x	7x-(3x-4)>=2(x-6)	$7 x - (3 x - 4) \geq 2 (x - 6)$
185709	Find All Complex Solutions	y/(y-4)-4/(y+4)=32/(y^2-16)	$\frac{y}{y - 4} - \frac{4}{y + 4} = \frac{32}{y^{2} - 16}$
185710	Solve for x	3^(2x)=g^(3x-4)	$3^{2 x} = g^{3 x - 4}$
185711	Simplify	(x/4-1/x)/(x/2+1)	$\frac{\frac{x}{4} - \frac{1}{x}}{\frac{x}{2} + 1}$
185712	Graph	2x-y<=8 x+y<=5 x>=0 y>=0	$2 x - y \leq 8$ $x + y \leq 5$ $x \geq 0$ $y \geq 0$
185713	Evaluate the Function	f(x)=1/4x for x=-5	$f (x) = \frac{1}{4} x$ for $x = - 5$
185714	Find the Holes in the Graph	f(x)=(x^2+4x)/(x^2+3x-4)	$f (x) = \frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
185715	Solve for w	9=lw	$9 = l w$
185716	Factor	9b^7-4b^8+3b^5	$9 b^{7} - 4 b^{8} + 3 b^{5}$
185717	Solve the Inequality for x	1/5x+3>9	$\frac{1}{5} x + 3 > 9$
185718	Find the Domain and Range	f(x)=4+1/x	$f (x) = 4 + \frac{1}{x}$
185719	Solve the Inequality for x	4-x^2>0	$4 - x^{2} > 0$
185720	Simplify	(4y-8y^2)/(10y-5)	$\frac{4 y - 8 y^{2}}{10 y - 5}$
185721	Solve for x	-8x^4-10x^3+8x^2+10x=0	$- 8 x^{4} - 10 x^{3} + 8 x^{2} + 10 x = 0$
185722	Graph	f(x)=3 cube root of -2x+1	$f (x) = 3 \sqrt[3]{- 2 x} + 1$
185723	Solve for x	3x+1=(4x-2)/2	$3 x + 1 = \frac{4 x - 2}{2}$
185724	Multiply	(-m^2n)(-3m^2)(-5mn^3)	$(- m^{2} n) (- 3 m^{2}) (- 5 m n^{3})$
185725	Solve for x	3/4(6x+2)=15	$\frac{3}{4} (6 x + 2) = 15$
185726	Solve for x	2/(x+4)=3^x+1	$\frac{2}{x + 4} = 3^{x} + 1$
185727	Find f(g(x))	f(x)=-5x+14 g(x)=x^2+6x-7	$f (x) = - 5 x + 14$ $g (x) = x^{2} + 6 x - 7$
185728	Simplify	(5/(x+1)+3/(x-3))/(-2/(x+1))	$\frac{\frac{5}{x + 1} + \frac{3}{x - 3}}{- \frac{2}{x + 1}}$
185729	Solve for K	F=2KG+2KH	$F = 2 K G + 2 K H$
185730	Evaluate	3^x=1/27	$3^{x} = \frac{1}{27}$
185731	Simplify	x^2-3x+4+4x^2-x-12	$x^{2} - 3 x + 4 + 4 x^{2} - x - 12$
185732	Simplify	((x^2-3x-10)/(x-3))/((x+2)/(3x-9))	$\frac{\frac{x^{2} - 3 x - 10}{x - 3}}{\frac{x + 2}{3 x - 9}}$
185733	Evaluate	2(2/5)^-2	$2 {(\frac{2}{5})}^{- 2}$
185734	Find the Inverse	(3+4x)/(1-5x)	$\frac{3 + 4 x}{1 - 5 x}$
185735	Simplify	(3(2x-4)-5(x+3))/3	$\frac{3 (2 x - 4) - 5 (x + 3)}{3}$
185736	Graph	y=x^2+6,x>=3; -x+6,x<3	$y = {\begin{cases} x^{2} + 6, x \geq 3 \\ - x + 6, x < 3 \end{cases}$
185737	Simplify	(6x^2+20)/4	$\frac{6 x^{2} + 20}{4}$
185738	Subtract	(-7x^2+1)-(-2x^2-4x)	$(- 7 x^{2} + 1) - (- 2 x^{2} - 4 x)$
185739	Solve for m	m/n+5m=20	$\frac{m}{n} + 5 m = 20$
185740	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+49=0	$x^{2} + 49 = 0$
185741	Factor	f(x)=x^3-3x^2+x+1	$f (x) = x^{3} - 3 x^{2} + x + 1$
185742	Simplify	1/2(4k^5)^2	$\frac{1}{2} {(4 k^{5})}^{2}$
185743	Evaluate	24÷6+2^3*4	$24 \div 6 + 2^{3} \cdot 4$
185744	Solve for y	6y=8-9+6y	$6 y = 8 - 9 + 6 y$
185745	Solve for x	f(x)=6	$f (x) = 6$
185746	Evaluate the Function	x^2+y^2=4	$x^{2} + y^{2} = 4$
185747	Solve the Inequality for b	7b-3<11	$7 b - 3 < 11$
185748	Graph	a-6<=15+8a	$a - 6 \leq 15 + 8 a$
185749	Solve for a	( square root of x)/(x^2)=x^a	$\frac{\sqrt{x}}{x^{2}} = x^{a}$
185750	Evaluate	ax+b=cx+d	$a x + b = c x + d$
185751	Solve for x	2(6-x)=x(x+5)	$2 (6 - x) = x (x + 5)$
185752	Evaluate	sin(x)=1	$\sin (x) = 1$
185753	Solve the Inequality for x	3x^2+5x-2>=0	$3 x^{2} + 5 x - 2 \geq 0$
185754	Solve the Rational Equation for x	5/(3x+5)=3/(3x+5)+1	$\frac{5}{3 x + 5} = \frac{3}{3 x + 5} + 1$
185755	Find F(g(x))	F(x) = cube root of x-1 , g(x)=x^3+1	$F (x) = \sqrt[3]{x - 1}$ , $g (x) = x^{3} + 1$
185756	Evaluate	natural log of 2- natural log of 1	$\ln (2) - \ln (1)$
185757	Factor	(x+1)(x^2-5x+6)	$(x + 1) (x^{2} - 5 x + 6)$
185758	Solve the Inequality for j	-2/11j<=8	$- \frac{2}{11} j \leq 8$
185759	Multiply	2/(2x+3)*9/x	$\frac{2}{2 x + 3} \cdot \frac{9}{x}$
185760	Find the Excluded Values	((2x^2-12x)/(x^2-7x+6))÷((2x)/(3x-3))	$\frac{2 x^{2} - 12 x}{x^{2} - 7 x + 6} \div \frac{2 x}{3 x - 3}$
185761	Solve the Inequality for n	5-4n<8-5n	$5 - 4 n < 8 - 5 n$
185762	Solve for x	5- cube root of x-4=2	$5 - \sqrt[3]{x - 4} = 2$
185763	Solve for m	(m-2)-5=8-2(m-4)	$(m - 2) - 5 = 8 - 2 (m - 4)$
185764	Simplify	(1/2+6a)*14	$(\frac{1}{2} + 6 a) \cdot 14$
185765	Solve Using the Quadratic Formula	(x+1)^2+(x-8)^2=45	${(x + 1)}^{2} + {(x - 8)}^{2} = 45$
185766	Solve for q	11q+12q+q-2q=22	$11 q + 12 q + q - 2 q = 22$
185767	Solve the System of Equations	-2x+y=0 -7x+3y=2	$- 2 x + y = 0$ $- 7 x + 3 y = 2$
185768	Simplify	((2x)/(x-1))÷((5x)/(2x+4))	$\frac{2 x}{x - 1} \div \frac{5 x}{2 x + 4}$
185769	Graph	sin(theta)>0 and tan(theta)>0	$\sin (θ) > 0$ and $\tan (θ) > 0$
185770	Simplify	4 square root of -1/8	$4 \sqrt{- \frac{1}{8}}$
185771	Convert to a Decimal	105deg	$105$ degrees
185772	Rationalize the Denominator	-13/( square root of x)	$\frac{- 13}{\sqrt{x}}$
185773	Convert to Interval Notation	2x+1<=-4 or 2x+1>=4	$2 x + 1 \leq - 4$ or $2 x + 1 \geq 4$
185774	Solve for x	( square root of a)/( square root of b)=x	$\frac{\sqrt{a}}{\sqrt{b}} = x$
185775	Simplify	x^4(4x^3y^3)	$x^{4} (4 x^{3} y^{3})$
185776	Solve for w	w+3/4=1/8	$w + \frac{3}{4} = \frac{1}{8}$
185777	Simplify the Radical Expression	fourth root of x^10	$\sqrt[4]{x^{10}}$
185778	Simplify	(1+2/x)/((x^2)/2-2)	$\frac{1 + \frac{2}{x}}{\frac{x^{2}}{2} - 2}$
185779	Solve for c	6c+3=c-12	$6 c + 3 = c - 12$
185780	Multiply	x/(x+1)*2/(x-1)	$\frac{x}{x + 1} \cdot \frac{2}{x - 1}$
185781	Find g(f(x))	f(x)=3x^2+x-1 g(x)=-3x+5	$f (x) = 3 x^{2} + x - 1$ $g (x) = - 3 x + 5$
185782	Find the Exact Value	(sin(x)+cos(x))^2	${(\sin (x) + \cos (x))}^{2}$
185783	Find the x and y Intercepts	y=-x/2-1	$y = - \frac{x}{2} - 1$
185784	Find the Inverse	f(x)=( cube root of x-7)/5	$f (x) = \frac{\sqrt[3]{x} - 7}{5}$
185785	Find the Holes in the Graph	f(x)=(2x^2-2x-40)/(2x^2-14x+20)	$f (x) = \frac{2 x^{2} - 2 x - 40}{2 x^{2} - 14 x + 20}$
185786	Find the Exact Value	cos(arccos(- square root of 6))	$\cos (\arccos (- \sqrt{6}))$
185787	Multiply	(x^3+2x^2-x)(x^2-2x+5)	$(x^{3} + 2 x^{2} - x) (x^{2} - 2 x + 5)$
185788	Divide Using Long Polynomial Division	(3x^2-2x^3-1)/(x+2)	$\frac{3 x^{2} - 2 x^{3} - 1}{x + 2}$
185789	Simplify	-6x-4y+x-2y	$- 6 x - 4 y + x - 2 y$
185790	Solve for n	45=7-5n	$45 = 7 - 5 n$
185791	Find the LCM	15 and 6	$15$ and $6$
185792	Simplify	2-4÷2+2^3	$2 - 4 \div 2 + 2^{3}$
185793	Simplify	5/6a+3/10a+1/6a+7/10a	$\frac{5}{6} a + \frac{3}{10} a + \frac{1}{6} a + \frac{7}{10} a$
185794	Simplify	(2/3+1/2i)(12-1/3i)	$(\frac{2}{3} + \frac{1}{2} i) (12 - \frac{1}{3} i)$
185795	Solve for g	3+g=1/4	$3 + g = \frac{1}{4}$
185796	Simplify	( square root of 3-1)/(2+ square root of 3)	$\frac{\sqrt{3} - 1}{2 + \sqrt{3}}$
185797	Factor	x^2+3/2x-1	$x^{2} + \frac{3}{2} x - 1$
185798	Write in Slope-Intercept Form	(-10,3) and (-8,-8)	$(- 10, 3)$ and $(- 8, - 8)$
185799	Solve for x	3(3x+4)^2+24=36	$3 {(3 x + 4)}^{2} + 24 = 36$
185800	Solve the Inequality for x	5x-10x^2<0	$5 x - 10 x^{2} < 0$