Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9901	Expand Using Sum/Difference Formulas	tan(u-5pi)	$\tan (u - 5 π)$
9902	Solve the Inequality for x	-1<9+x<17	$- 1 < 9 + x < 17$
9903	Simplify	(( square root of 6+ square root of 15+ square root of 3)/( fourth root of 4+ square root of 5+5^0))^2	${(\frac{\sqrt{6} + \sqrt{15} + \sqrt{3}}{\sqrt[4]{4} + \sqrt{5} + 5^{0}})}^{2}$
9904	Evaluate	((1+9)/-2)^2-4^2	${(\frac{1 + 9}{- 2})}^{2} - 4^{2}$
9905	Simplify	(6+2i)(6-2i)-(3-4i)(3+4i)	$(6 + 2 i) (6 - 2 i) - (3 - 4 i) (3 + 4 i)$
9906	Solve for x	16^(x+1)>=4^(4x+1)	$16^{x + 1} \geq 4^{4 x + 1}$
9907	Solve the System of Equations	5x=y+6 5x+2y=3	$5 x = y + 6$ $5 x + 2 y = 3$
9908	Simplify	( square root of 2)/2* square root of 3	$\frac{\sqrt{2}}{2} \cdot \sqrt{3}$
9909	Divide	( square root of 48x^3y^7)/( square root of 8x^5y)	$\frac{\sqrt{48 x^{3} y^{7}}}{\sqrt{8 x^{5} y}}$
9910	Simplify	((2x^2)^3(3y^4)^3)/(9x^4y^7)-18x^2y^5	$\frac{{(2 x^{2})}^{3} {(3 y^{4})}^{3}}{9 x^{4} y^{7}} - 18 x^{2} y^{5}$
9911	Simplify	y(9-0.2x)	$y (9 - 0.2 x)$
9912	Divide	(-3/8)÷(-2/3)	$- \frac{3}{8} \div (- \frac{2}{3})$
9913	Solve for x	4(x-2)+x=1/2(10x-6)	$4 (x - 2) + x = \frac{1}{2} (10 x - 6)$
9914	Simplify	(n+7)*5n	$(n + 7) \cdot 5 n$
9915	Solve the Inequality for p	p+12>9	$p + 12 > 9$
9916	Evaluate	x^4=81	$x^{4} = 81$
9917	Find the Antiderivative	f(x)=2/((3x+2)^5)	$f (x) = \frac{2}{{(3 x + 2)}^{5}}$
9918	Simplify	2/(-2-3 square root of 2)	$\frac{2}{- 2 - 3 \sqrt{2}}$
9919	Solve for x	4(2+5(x-3))=8	$4 (2 + 5 (x - 3)) = 8$
9920	Evaluate	6+4x+12x-4	$6 + 4 x + 12 x - 4$
9921	Simplify	8h^2-1/3(33h+42)-3h^2	$8 h^{2} - \frac{1}{3} (33 h + 42) - 3 h^{2}$
9922	Simplify	-(3-3x)/21	$- \frac{3 - 3 x}{21}$
9923	Solve the System of Equations	y=1/2x y=x+2	$y = \frac{1}{2} x$ $y = x + 2$
9924	Solve for x	3^(-3x^2+3x)=(1/9)^(6x+21)	$3^{- 3 x^{2} + 3 x} = {(\frac{1}{9})}^{6 x + 21}$
9925	Simplify	(2^3)^-1(4m^3)^2	${(2^{3})}^{- 1} {(4 m^{3})}^{2}$
9926	Solve for x	-3(x+4)+15=6-4x	$- 3 (x + 4) + 15 = 6 - 4 x$
9927	Simplify the Radical Expression	( cube root of k^8)/( square root of k)	$\frac{\sqrt[3]{k^{8}}}{\sqrt{k}}$
9928	Solve for x	log base \|x+2\| of 64=3	$\log_{\| x + 2 \|} (64) = 3$
9929	Determine if a Polynomial	(x^3y^5)/9+y	$\frac{x^{3} y^{5}}{9} + y$
9930	Add	(-x^4-5x^3-4x^2+7)+(-7x^3+9x^2-2x+4)	$(- x^{4} - 5 x^{3} - 4 x^{2} + 7) + (- 7 x^{3} + 9 x^{2} - 2 x + 4)$
9931	Solve for x	(8x)/(x+2)=(x^2)/(x+2)+3	$\frac{8 x}{x + 2} = \frac{x^{2}}{x + 2} + 3$
9932	Simplify	((a^-6b^4)/(2a^-9b^-2))^-2*(ab^-3)	${(\frac{a^{- 6} b^{4}}{2 a^{- 9} b^{- 2}})}^{- 2} \cdot (a b^{- 3})$
9933	Solve for r	3^(r+1)=1	$3^{r + 1} = 1$
9934	Find the Product	square root of x(5 square root of x-2 square root of x)	$\sqrt{x} (5 \sqrt{x} - 2 \sqrt{x})$
9935	Find the Exact Value	sec(-540 degrees )	$\sec (- 540 °)$
9936	Solve for x	7(4x+1)-3x=5x-13	$7 (4 x + 1) - 3 x = 5 x - 13$
9937	Find the Degree	4xy^4-3x^3+2xy-6	$4 x y^{4} - 3 x^{3} + 2 x y - 6$
9938	Simplify	(1/(u*u^-8))^(3/7)	${(\frac{1}{u \cdot u^{- 8}})}^{\frac{3}{7}}$
9939	Evaluate the Integral	integral of ((x^3+2x^2-4)/(x^2)) with respect to x	$\int (\frac{x^{3} + 2 x^{2} - 4}{x^{2}}) d x$
9940	Evaluate	(4-i square root of 2)-(3+i square root of 2)+8i	$(4 - i \sqrt{2}) - (3 + i \sqrt{2}) + 8 i$
9941	Find All Complex Solutions	square root of x=3	$\sqrt{x} = 3$
9942	Evaluate	cube root of 3x=6	$\sqrt[3]{3 x} = 6$
9943	Simplify	10/(3x^2)*x/7	$\frac{10}{3 x^{2}} \cdot \frac{x}{7}$
9944	Determine the Possible Number of Real Roots	256/2401	$\frac{256}{2401}$
9945	Solve by Factoring	x^2+(x+1)^2=613	$x^{2} + {(x + 1)}^{2} = 613$
9946	Solve for x	3/4x-8=x/3	$\frac{3}{4} x - 8 = \frac{x}{3}$
9947	Simplify	1/5+1/15+5/54+1/45	$\frac{1}{5} + \frac{1}{15} + \frac{5}{54} + \frac{1}{45}$
9948	Divide	(-3/24)÷(1/(5n))	$- \frac{3}{24} \div \frac{1}{5 n}$
9949	Solve for a	3ab-15b-7a+35=0	$3 a b - 15 b - 7 a + 35 = 0$
9950	Find the Antiderivative	f(x)=-2x+6x^9-0.5	$f (x) = - 2 x + 6 x^{9} - 0.5$
9951	Simplify	3(x/(x+1))^2-2	$3 {(\frac{x}{x + 1})}^{2} - 2$
9952	Find the Domain and Range	y=4sec(1/2x)	$y = 4 \sec (\frac{1}{2} x)$
9953	Simplify the Radical Expression	( cube root of 27)^2	${(\sqrt[3]{27})}^{2}$
9954	Evaluate	(2x^4y^-4)/(8x^7y^3)	$\frac{2 x^{4} y^{- 4}}{8 x^{7} y^{3}}$
9955	Solve for x	x/2+2x^2=-x(x-1)	$\frac{x}{2} + 2 x^{2} = - x (x - 1)$
9956	Multiply	2 square root of 3*4 square root of 8	$2 \sqrt{3} \cdot 4 \sqrt{8}$
9957	Divide	(10 square root of 18)÷2 square root of 9	$10 \sqrt{18} \div 2 \sqrt{9}$
9958	Find the Domain and Range	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
9959	Simplify the Radical Expression	5 cube root of 32x^3y^4-3xy cube root of 4y	$5 \sqrt[3]{32 x^{3} y^{4}} - 3 x y \sqrt[3]{4 y}$
9960	Solve for x	4^(2x)*1/16=4^(6x+18)	$4^{2 x} \cdot \frac{1}{16} = 4^{6 x + 18}$
9961	Solve the Function Operation	f(x)=9(x-2) ; find f^-1(x)	$f (x) = 9 (x - 2)$ ; find $f^{- 1} (x)$
9962	Solve for x	square root of 8x+4=2x+1	$\sqrt{8 x + 4} = 2 x + 1$
9963	Solve for x	4/5(x-3/10)=-2 1/4	$\frac{4}{5} (x - \frac{3}{10}) = - 2 \frac{1}{4}$
9964	Evaluate the Integral	integral from 1 to 3 of (2+ye^y)/y with respect to y	$\int_{1}^{3} \frac{2 + y e^{y}}{y} d y$
9965	Graph	p(x)=2+1/(2x+4)	$p (x) = 2 + \frac{1}{2 x + 4}$
9966	Solve for x	-5-8/(x-1)=-6/(x-1)	$- 5 - \frac{8}{x - 1} = - \frac{6}{x - 1}$
9967	Find dy/dx	-3-y^3=5xy	$- 3 - y^{3} = 5 x y$
9968	Solve for x	9^(3x-2)=27^(2x-2)	$9^{3 x - 2} = 27^{2 x - 2}$
9969	Evaluate	(-5+- square root of 25-(4)26)/-10	$\frac{- 5 + - \sqrt{25 - (4) \cdot 2 \cdot 6}}{- 10}$
9970	Evaluate the Integral	integral of cos(x)* cube root of sin(x) with respect to x	$\int \cos (x) \cdot \sqrt[3]{\sin (x)} d x$
9971	Simplify the Radical Expression	( cube root of 5)^4	${(\sqrt[3]{5})}^{4}$
9972	Simplify	((r-3)(r+9))/((r+2)(r+9))*(2(r+2))/(r-3)	$\frac{(r - 3) (r + 9)}{(r + 2) (r + 9)} \cdot \frac{2 (r + 2)}{r - 3}$
9973	Simplify	( square root of 200x^3y^4)/( square root of 10xy^4)	$\frac{\sqrt{200 x^{3} y^{4}}}{\sqrt{10 x y^{4}}}$
9974	Graph	2(x-y)>=5	$2 (x - y) \geq 5$
9975	Solve for x	fourth root of (2x+1)^3+2=3	$\sqrt[4]{{(2 x + 1)}^{3}} + 2 = 3$
9976	Solve the Function Operation	f(x)=8x^7 ; find f^-1(x)	$f (x) = 8 x^{7}$ ; find $f^{- 1} (x)$
9977	Solve the Inequality for x	3^(-x)>6^(-x)	$3^{- x} > 6^{- x}$
9978	Describe the Transformation	p(x)=x^3 , m(x)=4p(x-3)-5	$p (x) = x^{3}$ , $m (x) = 4 p (x - 3) - 5$
9979	Solve for x	3/(x^2+2)=1/x	$\frac{3}{x^{2} + 2} = \frac{1}{x}$
9980	Evaluate the Summation	sum from i=5 to 9 of i/(x+i)	$\sum_{i = 5}^{9} \frac{i}{x + i}$
9981	Find the Constant of Variation	y=28 when x=7	$y = 28$ when $x = 7$
9982	Find All Complex Solutions	3z^2+12z-20=5z	$3 z^{2} + 12 z - 20 = 5 z$
9983	Solve the Inequality for b	b-19<=15	$b - 19 \leq 15$
9984	Graph	2x^(-)*1	$2 x^{-} \cdot 1$
9985	Graph	f(x)=2x+3 if x>=0; x+4 if x<0	$f (x) = {\begin{cases} 2 x + 3 & x \geq 0 \\ x + 4 & x < 0 \end{cases}$
9986	Solve for x	4\|x+2\|=\|2x+7\|	$4 \| x + 2 \| = \| 2 x + 7 \|$
9987	Find Amplitude, Period, and Phase Shift	y=sin(2x+(3pi)/2)	$y = \sin (2 x + \frac{3 π}{2})$
9988	Factor	a^(2x+6)-9b^(6y)	$a^{2 x + 6} - 9 b^{6 y}$
9989	Find the Vertex	3x-y^2=4x+25	$3 x - y^{2} = 4 x + 25$
9990	Simplify	5 square root of 3a^3*4 square root of 25a^4	$5 \sqrt{3 a^{3}} \cdot 4 \sqrt{25 a^{4}}$
9991	Simplify	(-8)(1/3)	$(- 8) (\frac{1}{3})$
9992	Find the Excluded Values	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
9993	Find the Inflection Points	h(x)=x^5+5x^4	$h (x) = x^{5} + 5 x^{4}$
9994	Convert to Radical Form	(-32)^0.6	${(- 32)}^{0.6}$
9995	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2-11x+2x^2	$f (x) = 2 - 11 x + 2 x^{2}$
9996	Solve for k	k^2-7k+12.25>0	$k^{2} - 7 k + 12.25 > 0$
9997	Find the Exact Value	tan((2pi)/3)+4cos((11pi)/6)	$\tan (\frac{2 π}{3}) + 4 \cos (\frac{11 π}{6})$
9998	Solve for x	(x-5)/6=14/(2x+3)	$\frac{x - 5}{6} = \frac{14}{2 x + 3}$
9999	Solve for A	A^2+35^2=37^2	$A^{2} + 35^{2} = 37^{2}$
10000	Simplify	(1/2+1/3+1/6)÷2 1/2	$(\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) \div 2 \frac{1}{2}$