Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179701	Factor	216+8d^3	$216 + 8 d^{3}$
179702	Evaluate	-3k-(-8)+2	$- 3 k - (- 8) + 2$
179703	Solve for x	1-4/(x^2+2x)=-x/(x+2)	$1 - \frac{4}{x^{2} + 2 x} = - \frac{x}{x + 2}$
179704	Solve the System of Inequalities	-1>=x-5 or 3>=x-5	$- 1 \geq x - 5$ or $3 \geq x - 5$
179705	Solve the Inequality for x	x^2-4x>=12	$x^{2} - 4 x \geq 12$
179706	Find the Product	(a^5-7b)^2	${(a^{5} - 7 b)}^{2}$
179707	Write in Standard Form	9-7x+4x^2=-2x-5+x^2	$9 - 7 x + 4 x^{2} = - 2 x - 5 + x^{2}$
179708	Solve for x	(x+a^2)(x+b^2)=(x+ab)^2	$(x + a^{2}) (x + b^{2}) = {(x + a b)}^{2}$
179709	Solve the Inequality for x	2x^2+x>=6	$2 x^{2} + x \geq 6$
179710	Factor	-8x-x^5+6x^3	$- 8 x - x^{5} + 6 x^{3}$
179711	Find the Equation of the Circle	Center (-6,8) , r=10	Center $(- 6, 8)$ , $r = 10$
179712	Graph	f(x)=1/((x-2)(x+1))	$f (x) = \frac{1}{(x - 2) (x + 1)}$
179713	Graph	y<=-x+4 y>=3x-8	$y \leq - x + 4$ $y \geq 3 x - 8$
179714	Find the x and y Intercepts	(5x^2)/(-3x^2-7x)	$\frac{5 x^{2}}{- 3 x^{2} - 7 x}$
179715	Find the Fourth Term	-16/5 , 8 , -20	$- \frac{16}{5}$ , $8$ , $- 20$
179716	Solve for x	8 cube root of 10x-15=17	$8 \sqrt[3]{10 x} - 15 = 17$
179717	Find the Roots (Zeros)	2x(x^2-36)=0	$2 x (x^{2} - 36) = 0$
179718	Solve the System of Equations	x-2y=2 -x+2y=-2	$x - 2 y = 2$ $- x + 2 y = - 2$
179719	Solve for y	y=(1/2)^1	$y = {(\frac{1}{2})}^{1}$
179720	Find the Midpoint	(4,7) and (10,3)	$(4, 7)$ and $(10, 3)$
179721	Combine Like Terms	-5(x+2)+5(x-5)	$- 5 (x + 2) + 5 (x - 5)$
179722	Solve the System of Equations	y=5x+2 3x=-y+10	$y = 5 x + 2$ $3 x = - y + 10$
179723	Factor	P(x)=x^3+2x^2+9x+18	$P (x) = x^{3} + 2 x^{2} + 9 x + 18$
179724	Solve the Inequality for x	5x+2<=17	$5 x + 2 \leq 17$
179725	Solve for x	x-(2x+7)/(x+7)=7/(x+7)	$x - \frac{2 x + 7}{x + 7} = \frac{7}{x + 7}$
179726	Simplify	log base 7 of x^3- log base 7 of x	$\log_{7} (x^{3}) - \log_{7} (x)$
179727	Write the Fraction in Simplest Form	7/8m+9/10-2m-3/5	$\frac{7}{8} m + \frac{9}{10} - 2 m - \frac{3}{5}$
179728	Find the Domain and Range	b^x	$b^{x}$
179729	Solve for m	e^(-3m)=73.2	$e^{- 3 m} = 73.2$
179730	Solve for x	x/(x-2)+9/x=-x/(x-2)	$\frac{x}{x - 2} + \frac{9}{x} = - \frac{x}{x - 2}$
179731	Find the Roots (Zeros)	y=-(x-1)(x+3)	$y = - (x - 1) (x + 3)$
179732	Find the Domain and Range	f(x) = square root of x^2-6-6	$f (x) = \sqrt{x^{2} - 6} - 6$
179733	Solve for x	(3x)/(3x-1)+2/x=1	$\frac{3 x}{3 x - 1} + \frac{2}{x} = 1$
179734	Solve for x	\|x+7\|^2-3\|x+7\|-4=0	${\| x + 7 \|}^{2} - 3 \| x + 7 \| - 4 = 0$
179735	Find the Roots (Zeros)	5x^2-6x-1=-3x^2	$5 x^{2} - 6 x - 1 = - 3 x^{2}$
179736	Rewrite the Cartesian Equation as a Polar Equation	x^2+y^2=9	$x^{2} + y^{2} = 9$
179737	Solve for x	5x-7(x+1)>-9	$5 x - 7 (x + 1) > - 9$
179738	Simplify	(2^-1)^2	${(2^{- 1})}^{2}$
179739	Solve the Inequality for x	96>4(5x-6)	$96 > 4 (5 x - 6)$
179740	Evaluate	\|x\|=2	$\| x \| = 2$
179741	Simplify the Radical Expression	fourth root of 4	$\sqrt[4]{4}$
179742	Simplify	5-3x+x-32	$5 - 3 x + x - 32$
179743	Find the Distance Between Two Points	(-5,-8) and (-1,-16)	$(- 5, - 8)$ and $(- 1, - 16)$
179744	Factor	-3ab^3+4ab^3+ab^3	$- 3 a b^{3} + 4 a b^{3} + a b^{3}$
179745	Find the Inverse	y=mx+b	$y = m x + b$
179746	Graph	4x+\|y\|=0	$4 x + \| y \| = 0$
179747	Solve for x	2x^(1/2)-x^(1/4)=0	$2 x^{\frac{1}{2}} - x^{\frac{1}{4}} = 0$
179748	Solve the Inequality for x	4/5x-1/8<=7/10x-8/5	$\frac{4}{5} x - \frac{1}{8} \leq \frac{7}{10} x - \frac{8}{5}$
179749	Solve for t	f(t)=5t-7	$f (t) = 5 t - 7$
179750	Simplify	((x^2-16)/(x-2))÷((x^2+3x-4)/(x-8))	$\frac{x^{2} - 16}{x - 2} \div \frac{x^{2} + 3 x - 4}{x - 8}$
179751	Solve for x	(8x)/(x-8)-1/(x^2-8x)=-1	$\frac{8 x}{x - 8} - \frac{1}{x^{2} - 8 x} = - 1$
179752	Simplify the Radical Expression	(5ab)^(3/2)	${(5 a b)}^{\frac{3}{2}}$
179753	Write in Slope-Intercept Form	y=-4	$y = - 4$
179754	Simplify	7x+2y+4-y+2+2x	$7 x + 2 y + 4 - y + 2 + 2 x$
179755	Solve for a	a-2=(3+6a)/3	$a - 2 = \frac{3 + 6 a}{3}$
179756	Solve the Inequality for x	-x-1>3x+1	$- x - 1 > 3 x + 1$
179757	Divide	(12x^2+2x-2)/(3x-1)	$\frac{12 x^{2} + 2 x - 2}{3 x - 1}$
179758	Solve for a	9/8(4-1/2a)=3(1/4a+5/2)	$\frac{9}{8} (4 - \frac{1}{2} a) = 3 (\frac{1}{4} a + \frac{5}{2})$
179759	Solve for x	e^x-e^(-x)=0	$e^{x} - e^{- x} = 0$
179760	Find All Complex Solutions	-46x-23=46x+23	$- 46 x - 23 = 46 x + 23$
179761	Solve for x	x^2(x-4)(2x+5)=0	$x^{2} (x - 4) (2 x + 5) = 0$
179762	Graph	(-7,7)	$(- 7, 7)$
179763	Graph	[-7,infinity)	$[- 7, \infty)$
179764	Solve for p	-8(1+4p)+7p=-25-8p	$- 8 (1 + 4 p) + 7 p = - 25 - 8 p$
179765	Simplify	((r+6)/r-1/(r+2))/((r^2+4r+3)/(r^2+2r))	$\frac{\frac{r + 6}{r} - \frac{1}{r + 2}}{\frac{r^{2} + 4 r + 3}{r^{2} + 2 r}}$
179766	Simplify	(7(e^(3x))^2)/(14e^x)	$\frac{7 {(e^{3 x})}^{2}}{14 e^{x}}$
179767	Evaluate	3(7+4)^2-14÷7	$3 {(7 + 4)}^{2} - 14 \div 7$
179768	Solve for x	10^(2x)+11=(x+6)^2-2	$10^{2 x} + 11 = {(x + 6)}^{2} - 2$
179769	Solve the Inequality for x	\|x-8\|<=5	$\| x - 8 \| \leq 5$
179770	Simplify	2(x+7)(x^2-3x-6)	$2 (x + 7) (x^{2} - 3 x - 6)$
179771	Write in Standard Form	7x-11+5x^2=4	$7 x - 11 + 5 x^{2} = 4$
179772	Solve the Inequality for x	(x-4)(x-6)(x-7)>=0	$(x - 4) (x - 6) (x - 7) \geq 0$
179773	Graph	y>1/2x-2 y<-x-5	$y > \frac{1}{2} x - 2$ $y < - x - 5$
179774	Find the Midpoint	(-8,7) and (0,1)	$(- 8, 7)$ and $(0, 1)$
179775	Simplify	(-11x^3y)^-2	${(- 11 x^{3} y)}^{- 2}$
179776	Simplify	(3y^4-2y^2+3y-2)-(-4y^4-2y^2+3)	$(3 y^{4} - 2 y^{2} + 3 y - 2) - (- 4 y^{4} - 2 y^{2} + 3)$
179777	Solve for j	-4j+80j-41j-77j+30=72	$- 4 j + 80 j - 41 j - 77 j + 30 = 72$
179778	Convert to Polar	y=7	$y = 7$
179779	Solve for x	3/(2x)=5/(x-7)	$\frac{3}{2 x} = \frac{5}{x - 7}$
179780	Graph	y>=3/4x+5 y<-5/2x-8	$y \geq \frac{3}{4} x + 5$ $y < - \frac{5}{2} x - 8$
179781	Evaluate	9/5-(-6/10)	$\frac{9}{5} - (- \frac{6}{10})$
179782	Simplify	15i*(-i-1)	$15 i \cdot (- i - 1)$
179783	Solve for x	-2(x-4)-1/2(3-4x)=-12	$- 2 (x - 4) - \frac{1}{2} (3 - 4 x) = - 12$
179784	Simplify	(x^2-25)/(x^3+7x^2)*(2x^5+18x^4+28x^3)/(x^2+7x+10)	$\frac{x^{2} - 25}{x^{3} + 7 x^{2}} \cdot \frac{2 x^{5} + 18 x^{4} + 28 x^{3}}{x^{2} + 7 x + 10}$
179785	Evaluate	log of x=4	$\log (x) = 4$
179786	Solve the Inequality for n	7n-1>-169	$7 n - 1 > - 169$
179787	Solve for θ	tan(theta)^2=3/8	$\tan^{2} (θ) = \frac{3}{8}$
179788	Evaluate	-6/(2(1))	$- \frac{6}{2 (1)}$
179789	Simplify	(4x^4-y^4)^2	${(4 x^{4} - y^{4})}^{2}$
179790	Solve for a	e^(-10a-4)=45	$e^{- 10 a - 4} = 45$
179791	Find the Exact Value	1/2 square root of 3	$\frac{1}{2} \sqrt{3}$
179792	Factor	y=x^2+7x+12	$y = x^{2} + 7 x + 12$
179793	Solve the Inequality for x	2x^2<7x+4	$2 x^{2} < 7 x + 4$
179794	Multiply	(x^2-5)(x^3+2x-9)	$(x^{2} - 5) (x^{3} + 2 x - 9)$
179795	Solve for n	e^(8.5n)-4=41	$e^{8.5 n} - 4 = 41$
179796	Solve the Absolute Value Inequality for x	\|3x+2\|=4x+5	$\| 3 x + 2 \| = 4 x + 5$
179797	Solve the Inequality for p	-3<=p/2<0	$- 3 \leq \frac{p}{2} < 0$
179798	Simplify	(x-5)/(x-3)*(x^5-x^3)/(x^2-6x+5)	$\frac{x - 5}{x - 3} \cdot \frac{x^{5} - x^{3}}{x^{2} - 6 x + 5}$
179799	Simplify	((5-x)/(x^2+3x-4))÷((x^2-2x-15)/(x^2+5x+4))	$\frac{5 - x}{x^{2} + 3 x - 4} \div \frac{x^{2} - 2 x - 15}{x^{2} + 5 x + 4}$
179800	Solve Using the Quadratic Formula	4(x-1)^2=36	$4 {(x - 1)}^{2} = 36$