Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10901	Solve for c	9c^2+14=43	$9 c^{2} + 14 = 43$
10902	Simplify	9*3^-2	$9 \cdot 3^{- 2}$
10903	Evaluate	(7x^3)^2(x^8)^(1/2)	${(7 x^{3})}^{2} {(x^{8})}^{\frac{1}{2}}$
10904	Subtract	(10n+4n^7-5n^6)-(11n^6+7n^7-18n)	$(10 n + 4 n^{7} - 5 n^{6}) - (11 n^{6} + 7 n^{7} - 18 n)$
10905	Write as a Single Logarithm	1/3 log base b of x-1- log base b of x+1	$\frac{1}{3} \log_{b} (x - 1) - \log_{b} (x + 1)$
10906	Evaluate the Integral	integral from 0 to 2 of (3x^2-sin(x)) with respect to x	$\int_{0}^{2} (3 x^{2} - \sin (x)) d x$
10907	Solve for x	-1+1/3=8/(3x)	$- 1 + \frac{1}{3} = \frac{8}{3 x}$
10908	Graph	3x+5y<=10 x-y<-1	$3 x + 5 y \leq 10$ $x - y < - 1$
10909	Simplify	i^25i^14i^7*i^17	$i^{25} \cdot i^{14} \cdot i^{7} \cdot i^{17}$
10910	Evaluate	3 square root of x+3=15	$3 \sqrt{x} + 3 = 15$
10911	Write the Fraction in Simplest Form	(3x^9)/((5x^-4)^2)	$\frac{3 x^{9}}{{(5 x^{- 4})}^{2}}$
10912	Solve for x	2/x+2/7=(3x-2)/(7x)	$\frac{2}{x} + \frac{2}{7} = \frac{3 x - 2}{7 x}$
10913	Simplify	-2^1	$- 2^{1}$
10914	Solve for x	3 1/3-x=8/9	$3 \frac{1}{3} - x = \frac{8}{9}$
10915	Solve by Substitution	y=-8 y=-2x-12	$y = - 8$ $y = - 2 x - 12$
10916	Write in Standard Form	(2,7) and (-5,2)	$(2, 7)$ and $(- 5, 2)$
10917	Find the x and y Intercepts	-3x=9	$- 3 x = 9$
10918	Convert to Radical Form	(42/x)^(1/4)	${(\frac{42}{x})}^{\frac{1}{4}}$
10919	Evaluate	(-2 1/4)÷(-1 1/2)	$- 2 \frac{1}{4} \div (- 1 \frac{1}{2})$
10920	Simplify	x^0+y^0	$x^{0} + y^{0}$
10921	Simplify the Radical Expression	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$
10922	Multiply	(5x^2y)(3xy)(2xy^2)	$(5 x^{2} y) (3 x y) (2 x y^{2})$
10923	Evaluate	y=0.5(3/4)^3	$y = 0.5 {(\frac{3}{4})}^{3}$
10924	Simplify	((4x^2+2x)/(x^2+x-2))/((8x^2+4x)/(3x^2+10x+8))	$\frac{\frac{4 x^{2} + 2 x}{x^{2} + x - 2}}{\frac{8 x^{2} + 4 x}{3 x^{2} + 10 x + 8}}$
10925	Simplify	(1+(b^2)/a)/(a/2-a/b)	$\frac{1 + \frac{b^{2}}{a}}{\frac{a}{2} - \frac{a}{b}}$
10926	Solve for x	square root of 9x-2 = square root of x+12	$\sqrt{9 x} - 2 = \sqrt{x + 12}$
10927	Evaluate	52 choose 26	${}_{52}C_{26}$
10928	Simplify	(k^4m^2)/(k^-2(m^-2)^-4)	$\frac{k^{4} m^{2}}{k^{- 2} {(m^{- 2})}^{- 4}}$
10929	Find the Degree, Leading Term, and Leading Coefficient	1-1/7x^3+10x^2	$1 - \frac{1}{7} x^{3} + 10 x^{2}$
10930	Evaluate	1/2*(-2/( square root of 3))	$\frac{1}{2} \cdot (- \frac{2}{\sqrt{3}})$
10931	Find the End Behavior	y=-2x^2-3x+4	$y = - 2 x^{2} - 3 x + 4$
10932	Solve for x	square root of 5x-7 = square root of x-10	$\sqrt{5 x - 7} = \sqrt{x - 10}$
10933	Solve for x	10/(2x-3)=x-1	$\frac{10}{2 x - 3} = x - 1$
10934	Solve for x	(x+2)/(x+4)-(3x)/(4-x)=(3x)/(x-4)	$\frac{x + 2}{x + 4} - \frac{3 x}{4 - x} = \frac{3 x}{x - 4}$
10935	Simplify	(1/2x-3)+(1/6x+1)	$(\frac{1}{2} x - 3) + (\frac{1}{6} x + 1)$
10936	Evaluate	7^x=6^(x+7)	$7^{x} = 6^{x + 7}$
10937	Evaluate	fourth root of 1296/25	$\sqrt[4]{\frac{1296}{25}}$
10938	Simplify	-(2^2)^3	$- {(2^{2})}^{3}$
10939	Find the Holes in the Graph	(x^2-5x)/(2x^2)	$\frac{x^{2} - 5 x}{2 x^{2}}$
10940	Solve for x	(3(x+4))/2+1=-7	$\frac{3 (x + 4)}{2} + 1 = - 7$
10941	Write in Standard Form	8x+y^2-2y=64-y^2	$8 x + y^{2} - 2 y = 64 - y^{2}$
10942	Subtract	2x^2+6x-5-7x^2+3x+4	$2 x^{2} + 6 x - 5 - 7 x^{2} + 3 x + 4$
10943	Find the Domain	f(x)=(e^x)/(x-2)	$f (x) = \frac{e^{x}}{x - 2}$
10944	Evaluate	9+83-(52)	$9 + 8 \cdot 3 - (5 \cdot 2)$
10945	Find the x and y Intercepts	(x^2-5x)/(-2x^2)	$\frac{x^{2} - 5 x}{- 2 x^{2}}$
10946	Subtract	(4x^2+2x-4)-(-5-4x+4x^2+x^3)	$(4 x^{2} + 2 x - 4) - (- 5 - 4 x + 4 x^{2} + x^{3})$
10947	Find Where Undefined/Discontinuous	y=5/((x+1)^2-1)	$y = \frac{5}{{(x + 1)}^{2} - 1}$
10948	Evaluate the Limit	limit as x approaches infinity of ( square root of 9x^2+4+5x)/(4x+3)	$lim_{x \to \infty} \frac{\sqrt{9 x^{2} + 4} + 5 x}{4 x + 3}$
10949	Determine if a Polynomial	-p^2+9p^-5-p^3	$- p^{2} + 9 p^{- 5} - p^{3}$
10950	Evaluate the Integral	integral of ((x^3-2x)^3)/(x^3) with respect to x	$\int \frac{{(x^{3} - 2 x)}^{3}}{x^{3}} d x$
10951	Graph	y=1/3x-2 x+y=6	$y = \frac{1}{3} x - 2$ $x + y = 6$
10952	Simplify	((3x^-2)^-1)/(3x^2)	$\frac{{(3 x^{- 2})}^{- 1}}{3 x^{2}}$
10953	Solve for x	4x-x/2-3=1/2	$4 x - \frac{x}{2} - 3 = \frac{1}{2}$
10954	Find the Absolute Max and Min over the Interval	f(x)=(4x^3)/3-4x+1 on -3 , 1	$f (x) = \frac{4 x^{3}}{3} - 4 x + 1$ on $- 3$ , $1$
10955	Solve the Rational Equation for x	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
10956	Simplify	4x+x-11-5x+25+4x	$4 x + x - 11 - 5 x + 25 + 4 x$
10957	Simplify	i^8i^15i^28*i^25	$i^{8} \cdot i^{15} \cdot i^{28} \cdot i^{25}$
10958	Solve for n	x^2+11x+121/4=(x+n)^2	$x^{2} + 11 x + \frac{121}{4} = {(x + n)}^{2}$
10959	Evaluate the Limit	limit as x approaches 4 of ( square root of x^2+1- square root of x+13)/(x-4)	$lim_{x \to 4} \frac{\sqrt{x^{2} + 1} - \sqrt{x + 13}}{x - 4}$
10960	Solve for y	4 square root of 7-8y+3=15	$4 \sqrt{7 - 8 y} + 3 = 15$
10961	Write Using Positive Exponents	6x^4x^-10	$6 x^{4} x^{- 10}$
10962	Solve the Function Operation	Given that f(x)=x^2+16x+63 and g(x)=x+9 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 16 x + 63$ and $g (x) = x + 9$ ; find $f (x) + g (x)$ and express the result in standard form.
10963	Convert to Radical Form	1/((x-3)^(-1/2))	$\frac{1}{{(x - 3)}^{- \frac{1}{2}}}$
10964	Simplify	x4/3*x2/3	$x \frac{4}{3} \cdot x \frac{2}{3}$
10965	Find the Degree, Leading Term, and Leading Coefficient	1-(x^3)/8	$1 - \frac{x^{3}}{8}$
10966	Evaluate	square root of 2x-1=5	$\sqrt{2 x - 1} = 5$
10967	Solve for x	-2=-5+ square root of x+7	$- 2 = - 5 + \sqrt{x + 7}$
10968	Simplify	7x^3y(x^2y-3x+2)+5x^4y	$7 x^{3} y (x^{2} y - 3 x + 2) + 5 x^{4} y$
10969	Evaluate	(j^-13)(j^4)(j^6)	$(j^{- 13}) (j^{4}) (j^{6})$
10970	Find the Excluded Values	9/(15a-15)	$\frac{9}{15 a - 15}$
10971	Simplify	(3/10)÷((3n)/5)	$\frac{3}{10} \div \frac{3 n}{5}$
10972	Solve for c	(2c)/3-(4c)/5=7	$\frac{2 c}{3} - \frac{4 c}{5} = 7$
10973	Simplify	(ab)(6a^5b)(-ab)	$(a b) (6 a^{5} b) (- a b)$
10974	Multiply	( square root of 3)/( square root of 8)	$\frac{\sqrt{3}}{\sqrt{8}}$
10975	Solve the System of Equations	y=5+6x y=6x+5	$y = 5 + 6 x$ $y = 6 x + 5$
10976	Solve for x	4+3^(x+1)=8	$4 + 3^{x + 1} = 8$
10977	Evaluate the Limit	limit as x approaches c of -4*f(x)	$lim_{x \to c} - 4 \cdot f (x)$
10978	Rationalize the Denominator	( square root of 3x^12y^10)/( square root of 5x^6y^3)	$\frac{\sqrt{3 x^{12} y^{10}}}{\sqrt{5 x^{6} y^{3}}}$
10979	Find the x and y Intercepts	f(x)=- square root of x	$f (x) = - \sqrt{x}$
10980	Simplify	cube root of (2x)/(3y)	$\sqrt[3]{\frac{2 x}{3 y}}$
10981	Simplify	((9m^4n^10)/(-3m^2n^5))-1	$(\frac{9 m^{4} n^{10}}{- 3 m^{2} n^{5}}) - 1$
10982	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4+8-4x^3-2x^2-2x	$f (x) = x^{4} + 8 - 4 x^{3} - 2 x^{2} - 2 x$
10983	Integrate Using u-Substitution	integral of x^3cos(x^4) with respect to x	$\int x^{3} \cos (x^{4}) d x$
10984	Simplify the Radical Expression	cube root of (6b^2)/c	$\sqrt[3]{\frac{6 b^{2}}{c}}$
10985	Simplify	x+3x+6x+x	$x + 3 x + 6 x + x$
10986	Find the x and y Intercepts	4y-1=3	$4 y - 1 = 3$
10987	Evaluate	x/(y/z)	$\frac{x}{\frac{y}{z}}$
10988	Simplify	((x-6)/6-(x-2)/(x-6))/(36/(x-2)+4/9)	$\frac{\frac{x - 6}{6} - \frac{x - 2}{x - 6}}{\frac{36}{x - 2} + \frac{4}{9}}$
10989	Simplify	(9x^2)/(10y)+(5y^2)/(3x)	$\frac{9 x^{2}}{10 y} + \frac{5 y^{2}}{3 x}$
10990	Find the Derivative - d/dx	e^(x-e)	$e^{x - e}$
10991	Simplify	cube root of square root of 256	$\sqrt[3]{\sqrt{256}}$
10992	Solve for y	7/17y=3 12/17	$\frac{7}{17} y = 3 \frac{12}{17}$
10993	Write in y=mx+b Form	1/4y+3=-5x	$\frac{1}{4} y + 3 = - 5 x$
10994	Factor	y=x^3+2x^2-5x-6	$y = x^{3} + 2 x^{2} - 5 x - 6$
10995	Simplify	6(-3w+1/3)	$6 (- 3 w + \frac{1}{3})$
10996	Solve for x	8^((-x)/3)=4	$8^{\frac{- x}{3}} = 4$
10997	Write in Exponential Form	square root of (2c)^4	$\sqrt{{(2 c)}^{4}}$
10998	Solve for x	cube root of x+5=x-1	$\sqrt[3]{x + 5} = x - 1$
10999	Solve the Inequality for x	3x+1<2x-2<5x+7	$3 x + 1 < 2 x - 2 < 5 x + 7$
11000	Evaluate the Integral	integral of 1/(a^2+x^2) with respect to x	$\int \frac{1}{a^{2} + x^{2}} d x$