Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237701	Convert to Interval Notation	7-n>=-6 and 2(3n+8)>=10	$7 - n \geq - 6$ and $2 (3 n + 8) \geq 10$
237702	Solve for p	11/6=1/3+p	$\frac{11}{6} = \frac{1}{3} + p$
237703	Simplify/Condense	(tan(x))/(csc(x)^2)+(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\csc^{2} (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
237704	Simplify	fifth root of (a^2)/(x^3)	$\sqrt[5]{\frac{a^{2}}{x^{3}}}$
237705	Simplify	Simplify n-(1-(n-(1-n)-1))	Simplify $n - (1 - (n - (1 - n) - 1))$
237706	Subtract	3/(x+7)-42/(x^2-49)	$\frac{3}{x + 7} - \frac{42}{x^{2} - 49}$
237707	Evaluate	xy^-5	$x y^{- 5}$
237708	Solve for x	log base x of 4+ log base x of 2=1	$\log_{x} (4) + \log_{x} (2) = 1$
237709	Simplify	3/8x-3/4x	$\frac{3}{8} x - \frac{3}{4} x$
237710	Simplify	(x^-3y^-4*x^2y^3)/((y^3)^-4)	$\frac{x^{- 3} y^{- 4} \cdot x^{2} y^{3}}{{(y^{3})}^{- 4}}$
237711	Simplify	(3(r+s)^3)/((r+s)^-2)	$\frac{3 {(r + s)}^{3}}{{(r + s)}^{- 2}}$
237712	Find the Roots (Zeros)	x^3-x=3x^2+1	$x^{3} - x = 3 x^{2} + 1$
237713	Find the Product	2x(3-x+5x^2)	$2 x (3 - x + 5 x^{2})$
237714	Simplify	(10z^(1/3))/(2z^2)	$\frac{10 z^{\frac{1}{3}}}{2 z^{2}}$
237715	Simplify	3xz+(5x+3z)(7x-2xz+y-4z)	$3 x z + (5 x + 3 z) (7 x - 2 x z + y - 4 z)$
237716	Simplify	(4x^(2/3))/(4x^(2/3))	$\frac{4 x^{\frac{2}{3}}}{4 x^{\frac{2}{3}}}$
237717	Evaluate	pi(6)^2(12)	$π {(6)}^{2} (12)$
237718	Simplify	((8y-4)/7)(14/(10y-5))	$(\frac{8 y - 4}{7}) (\frac{14}{10 y - 5})$
237719	Simplify	(2wy+3yx-8wz-12zx)/(y^2-16z^2)*(y^3+64z^3)/(6w^2+13wx+6x^2)	$\frac{2 w y + 3 y x - 8 w z - 12 z x}{y^{2} - 16 z^{2}} \cdot \frac{y^{3} + 64 z^{3}}{6 w^{2} + 13 w x + 6 x^{2}}$
237720	Simplify	(-2x^4-3x^5+12)-(-12x-7+6x^5)	$(- 2 x^{4} - 3 x^{5} + 12) - (- 12 x - 7 + 6 x^{5})$
237721	Multiply	(x+3)/(x+2)*(2x-4)/(x^2-9)	$\frac{x + 3}{x + 2} \cdot \frac{2 x - 4}{x^{2} - 9}$
237722	Evaluate	5*(8+6-2)	$5 \times (8 + 6 - 2)$
237723	Solve for d	Solve the following equation: 1/4d=2 1/8	Solve the following equation: $\frac{1}{4} d = 2 \frac{1}{8}$
237724	Solve for a	2(a-8)>=-2a	$2 (a - 8) \geq - 2 a$
237725	Write in Standard Form	(-b^7)(7b^4)	$(- b^{7}) (7 b^{4})$
237726	Solve for p	5/6(12p-6)=-3/4(-12p+24)	$\frac{5}{6} (12 p - 6) = \frac{- 3}{4} (- 12 p + 24)$
237727	Solve for u	19u-4u+23=8u-19	$19 u - 4 u + 23 = 8 u - 19$
237728	Simplify	7x^2y^10z^5*12x^5y^0z	$7 x^{2} y^{10} z^{5} \cdot 12 x^{5} y^{0} z$
237729	Simplify	-7y^2-2y^2+y^3-3y-2y+5y^3-2y	$- 7 y^{2} - 2 y^{2} + y^{3} - 3 y - 2 y + 5 y^{3} - 2 y$
237730	Solve for f	(7-3f)/4=2	$\frac{7 - 3 f}{4} = 2$
237731	Solve for p	(4p+3)/8=(p+2)/4	$\frac{4 p + 3}{8} = \frac{p + 2}{4}$
237732	Find the Slope and y-intercept	-2y=6(5-3x)	$- 2 y = 6 (5 - 3 x)$
237733	Find the Product	(x^4+3y^3)(x^4-5y^3)	$(x^{4} + 3 y^{3}) (x^{4} - 5 y^{3})$
237734	Simplify	(3^2m^4t^8)/(3^4m^9t^-4)	$\frac{3^{2} m^{4} t^{8}}{3^{4} m^{9} t^{- 4}}$
237735	Find the Roots (Zeros)	5x^4-40x^3+75x^2	$5 x^{4} - 40 x^{3} + 75 x^{2}$
237736	Write as a Single Logarithm	3 log base 5 of x-1/2 log base 5 of 6-x	$3 \log_{5} (x) - \frac{1}{2} \log_{5} (6 - x)$
237737	Find the Slope and y-intercept	y=11+2/3x	$y = 11 + \frac{2}{3} x$
237738	Solve the System of Equations	y=2x^2+6x-1 y=2x+5	$y = 2 x^{2} + 6 x - 1$ $y = 2 x + 5$
237739	Simplify	( square root of 5+ square root of 2)/( square root of 5- square root of 8)	$\frac{\sqrt{5} + \sqrt{2}}{\sqrt{5} - \sqrt{8}}$
237740	Evaluate	(1^1)/2	$\frac{1^{1}}{2}$
237741	Simplify	( square root of 8x)/( cube root of 16x^2)	$\frac{\sqrt{8 x}}{\sqrt[3]{16 x^{2}}}$
237742	Evaluate	3^4x(3/(x^2))^-2	$3^{4} \cdot x \cdot {(\frac{3}{x^{2}})}^{- 2}$
237743	Find the Product	x(2x^2+3x)	$x (2 x^{2} + 3 x)$
237744	Simplify	1/2d-3/4d+3f-2f	$\frac{1}{2} d - \frac{3}{4} d + 3 f - 2 f$
237745	Determine if Parallel	y=-5x+3 and y=-5x-4	$y = - 5 x + 3$ and $y = - 5 x - 4$
237746	Solve for x	-10 log base 2 of x+8=-12	$- 10 \log_{2} (x) + 8 = - 12$
237747	Graph	y=1/2(2^x-8)	$y = \frac{1}{2} (2^{x} - 8)$
237748	Write in Exponential Form	( fourth root of 5^3)^(1/2)	${(\sqrt[4]{5^{3}})}^{\frac{1}{2}}$
237749	Simplify	-3y+7y+4y^3-2y^2+6y^3-7y^3-5y	$- 3 y + 7 y + 4 y^{3} - 2 y^{2} + 6 y^{3} - 7 y^{3} - 5 y$
237750	Solve the Inequality for x	(2x+3)(x-1)>=0	$(2 x + 3) (x - 1) \geq 0$
237751	Simplify	e^(-2x)e^xe^(6x+2)	$e^{- 2 x} \cdot e^{x} \cdot e^{6 x + 2}$
237752	Simplify	11(9+ square root of 6)	$11 (9 + \sqrt{6})$
237753	Write in Slope-Intercept Form	(-3,7) and (6,-8)	$(- 3, 7)$ and $(6, - 8)$
237754	Solve for x	(3x+6)/2-(7x-14)/3-(x+1)/9=0	$\frac{(3 x + 6)}{2} - \frac{(7 x - 14)}{3} - \frac{(x + 1)}{9} = 0$
237755	Graph	y=(x+4)(x+1)(2-x)(x-3)	$y = (x + 4) (x + 1) (2 - x) (x - 3)$
237756	Find the Domain and Range	F(x)=-2e^(x+3)+2	$F (x) = - 2 e^{x + 3} + 2$
237757	Solve by Graphing	1/2x^5=1/5x^2-2	$\frac{1}{2} x^{5} = \frac{1}{5} x^{2} - 2$
237758	Solve for m	m+8=3m	$m + 8 = 3 m$
237759	Divide Using Long Polynomial Division	(x^4+x^3+5x^2-10x+10)/(x^2+2x+1)	$\frac{x^{4} + x^{3} + 5 x^{2} - 10 x + 10}{x^{2} + 2 x + 1}$
237760	Divide	(6x^2y^4-12x^4y^2)/(3x)	$\frac{6 x^{2} y^{4} - 12 x^{4} y^{2}}{3 x}$
237761	Write in Slope-Intercept Form	y+2=0	$y + 2 = 0$
237762	Solve the Inequality for k	-2(k-1)>8(1+k)	$- 2 (k - 1) > 8 (1 + k)$
237763	Find the Domain and Range	y^2=x^2	$y^{2} = x^{2}$
237764	Simplify	(a^2-3ab+b^2)+(-a^2+ab+b^2)	$(a^{2} - 3 a b + b^{2}) + (- a^{2} + a b + b^{2})$
237765	Graph	1/2x-2/3>3	$\frac{1}{2} x - \frac{2}{3} > 3$
237766	Simplify	(4^3*4^4)/(4^9)	$\frac{4^{3} \cdot 4^{4}}{4^{9}}$
237767	Find the GCF	8ab-56a	$8 a b - 56 a$
237768	Evaluate	5x( cube root of x^2y)+2( cube root of x^5y)	$5 x (\sqrt[3]{x^{2} y}) + 2 (\sqrt[3]{x^{5} y})$
237769	Solve for m	m(2m-5)+m=2m(m-6)+16	$m (2 m - 5) + m = 2 m (m - 6) + 16$
237770	Evaluate	(4- square root of 7)(2+ square root of 7)	$(4 - \sqrt{7}) (2 + \sqrt{7})$
237771	Solve the Absolute Value Inequality for x	\|(5x+20)/4\|=5	$\| \frac{5 x + 20}{4} \| = 5$
237772	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+27x^2+19x+5 is divided by 4x+5	Use the long division method to find the result when $12 x^{3} + 27 x^{2} + 19 x + 5$ is divided by $4 x + 5$
237773	Solve for v	-11+ square root of -8-4v=-5	$- 11 + \sqrt{- 8 - 4 v} = - 5$
237774	Simplify the Radical Expression	(6 square root of 16)( square root of -49)	$(6 \sqrt{16}) (\sqrt{- 49})$
237775	Rationalize the Denominator	(a-b)/( square root of a- square root of b)	$\frac{a - b}{\sqrt{a} - \sqrt{b}}$
237776	Find the Roots (Zeros)	f(x)=3+2x^2-4x^3	$f (x) = 3 + 2 x^{2} - 4 x^{3}$
237777	Simplify	8^(-1/4)*2^(-1/4)	$8^{- \frac{1}{4}} \cdot 2^{- \frac{1}{4}}$
237778	Solve for r	-58r+36r+86=-100+2(-13r-55)	$- 58 r + 36 r + 86 = - 100 + 2 (- 13 r - 55)$
237779	Find All Complex Solutions	8(e)^(2x+1)=4	$8 {(e)}^{2 x + 1} = 4$
237780	Write as a Single Logarithm	1/5 log of x- log of y	$\frac{1}{5} \log (x) - \log (y)$
237781	Simplify	(3/5x-2)(2x-1/2)	$(\frac{3}{5} x - 2) (2 x - \frac{1}{2})$
237782	Solve for x	square root of 2x+4=2+x	$\sqrt{2 x + 4} = 2 + x$
237783	Simplify	x--2x	$x - - 2 x$
237784	Find the Roots (Zeros)	1/2x^5=1/5x^2-2	$\frac{1}{2} x^{5} = \frac{1}{5} x^{2} - 2$
237785	Solve for x	10/15=(6x+2)/(4x+7)	$\frac{10}{15} = \frac{6 x + 2}{4 x + 7}$
237786	Simplify	4(3/4y-2+1/2y)	$4 (\frac{3}{4} y - 2 + \frac{1}{2} y)$
237787	Find the Vertex Form	-4x^2+56x+7y-203=0	$- 4 x^{2} + 56 x + 7 y - 203 = 0$
237788	Solve the System of Inequalities	y>x+6 y>-3x-6	$y > x + 6$ $y > - 3 x - 6$
237789	Simplify	(3x^2-19x-14)/(5x^2+7x+2)*(5x+2)/(5x-35)	$\frac{3 x^{2} - 19 x - 14}{5 x^{2} + 7 x + 2} \cdot \frac{5 x + 2}{5 x - 35}$
237790	Simplify	(2x-3)/(x-1)-(2x+1)/(x+1)	$\frac{2 x - 3}{x - 1} - \frac{2 x + 1}{x + 1}$
237791	Evaluate	((2^5)^3*2^-7)/(2^-6)	$\frac{{(2^{5})}^{3} \cdot 2^{- 7}}{2^{- 6}}$
237792	Simplify	(2 cube root of 16x^5+5x cube root of 128x^2)	$(2 \sqrt[3]{16 x^{5}} + 5 x \sqrt[3]{128 x^{2}})$
237793	Find the Roots (Zeros)	y=x^3+3x^2+1	$y = x^{3} + 3 x^{2} + 1$
237794	Evaluate	square root of 3x=9	$\sqrt{3 x} = 9$
237795	Solve Using the Quadratic Formula	x^4-4x^2+2=0	$x^{4} - 4 x^{2} + 2 = 0$
237796	Solve for y	y=(-9+4)^2	$y = {(- 9 + 4)}^{2}$
237797	Graph	{x\|-2<=x<4}	${x \| - 2 \leq x < 4}$
237798	Solve for x	3x-8+4x-7=4x	$3 x - 8 + 4 x - 7 = 4 x$
237799	Find the Domain of the Product of the Functions	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
237800	Solve for x	x^2+(-1/2)^2=1^2	$x^{2} + {(- \frac{1}{2})}^{2} = 1^{2}$