Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7001	Find the Reference Angle	cos(315 degrees )	$\cos (315 °)$
7002	Find the Domain	(27a^3)÷((18a^4)/(7b^2))	$27 a^{3} \div \frac{18 a^{4}}{7 b^{2}}$
7003	Solve the Inequality for y	4/3<-8/3y	$\frac{4}{3} < - \frac{8}{3} y$
7004	Find the LCD	1/4 , 6/(12x)	$\frac{1}{4}$ , $\frac{6}{12 x}$
7005	Simplify	1/3+2/4	$\frac{1}{3} + \frac{2}{4}$
7006	Solve for x	1/(x-8)=7/(6x)-1/(3x)	$\frac{1}{x - 8} = \frac{7}{6 x} - \frac{1}{3 x}$
7007	Find dy/dx	x^2y=4	$x^{2} y = 4$
7008	Solve for y	-1/2x+y=10	$- \frac{1}{2} x + y = 10$
7009	Find Where Increasing/Decreasing	f(x)=3/4x^4-x^3-84x^2-2	$f (x) = \frac{3}{4} x^{4} - x^{3} - 84 x^{2} - 2$
7010	Simplify	((5x)/3)(6/(11x))(x/10)	$(\frac{5 x}{3}) (\frac{6}{11 x}) (\frac{x}{10})$
7011	Solve for x	4+5 log base 3 of x+6=8	$4 + 5 \log_{3} (x + 6) = 8$
7012	Solve for x	(x+2y)/7=4	$\frac{x + 2 y}{7} = 4$
7013	Convert to Rectangular	cot(theta)=-7	$\cot (θ) = - 7$
7014	Solve for b	2/3(b+9)=6+2(b-6)	$\frac{2}{3} (b + 9) = 6 + 2 (b - 6)$
7015	Describe the Transformation	g(x)=- cube root of x-8	$g (x) = - \sqrt[3]{x} - 8$
7016	Simplify	(tan(x))/(sec(x)^2)+(tan(x))/(csc(x)^2)	$\frac{\tan (x)}{\sec^{2} (x)} + \frac{\tan (x)}{\csc^{2} (x)}$
7017	Simplify	(m^2)^(3/2)n^(1/7)	${(m^{2})}^{\frac{3}{2}} n^{\frac{1}{7}}$
7018	Evaluate	3( log base 9 of x)^2	$3 {\log_{9}}^{2} (x)$
7019	Convert to a Decimal	600deg	$600$ degrees
7020	Find the Antiderivative	(x+1)e^x	$(x + 1) e^{x}$
7021	Simplify	(3x^5-2x^3+5x)/(x^2)	$\frac{3 x^{5} - 2 x^{3} + 5 x}{x^{2}}$
7022	Simplify	(5^3*2^6)/(2^8)	$\frac{5^{3} \cdot 2^{6}}{2^{8}}$
7023	Simplify	(2 square root of 8x)/(3 square root of 6)	$\frac{2 \sqrt{8 x}}{3 \sqrt{6}}$
7024	Simplify	(2pi)/((5pi)/2)	$\frac{2 π}{\frac{5 π}{2}}$
7025	Solve by Substitution	x+2y=16 4y=x+8	$x + 2 y = 16$ $4 y = x + 8$
7026	Evaluate	((3x^-4)^6)/(9x^-12)	$\frac{{(3 x^{- 4})}^{6}}{9 x^{- 12}}$
7027	Factor	2x^4+3x^3+6x^2-2	$2 x^{4} + 3 x^{3} + 6 x^{2} - 2$
7028	Solve for x	(a^x)^(2/3)=1/(a^2)	${(a^{x})}^{\frac{2}{3}} = \frac{1}{a^{2}}$
7029	Divide	( square root of 5)/(5+ square root of 2)	$\frac{\sqrt{5}}{5 + \sqrt{2}}$
7030	Simplify	9^(1/4)*9^(1/4)	$9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}$
7031	Solve by Substitution	(x+3y)/2=5 4-(2x-y)/2=1	$\frac{x + 3 y}{2} = 5$ $4 - \frac{2 x - y}{2} = 1$
7032	Solve the Rational Equation for x	square root of x=12	$\sqrt{x} = 12$
7033	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+7x^2+9x+2 is divided by 4x+1	Use the long division method to find the result when $12 x^{3} + 7 x^{2} + 9 x + 2$ is divided by $4 x + 1$
7034	Evaluate	-4/((38*10^-6)(-100))	$\frac{- 4}{(38 \cdot 10^{- 6}) (- 100)}$
7035	Simplify	2y cube root of 27x^5y^7	$2 y \sqrt[3]{27 x^{5} y^{7}}$
7036	Find the Maximum/Minimum Value	g(x)=x^4-x^5	$g (x) = x^{4} - x^{5}$
7037	Evaluate	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
7038	Convert to Rectangular	5(cos(135 degrees )+isin(135 degrees ))*2(cos(45 degrees )+isin(45 degrees ))	$5 (\cos (135 °) + i \sin (135 °)) \cdot 2 (\cos (45 °) + i \sin (45 °))$
7039	Factor	(x/x)^2+1	${(\frac{x}{x})}^{2} + 1$
7040	Simplify	( square root of 5+ square root of 6+ square root of 7)( square root of 5+ square root of 6- square root of 7)	$(\sqrt{5} + \sqrt{6} + \sqrt{7}) (\sqrt{5} + \sqrt{6} - \sqrt{7})$
7041	Solve the Inequality for x	(4x+5)/x>3	$\frac{4 x + 5}{x} > 3$
7042	Solve the System of Equations	3(y-4)-2(x-3)=-6 5x^2+2y^2-53=0	$3 (y - 4) - 2 (x - 3) = - 6$ $5 x^{2} + 2 y^{2} - 53 = 0$
7043	Rationalize the Denominator	fourth root of 5/(8a^2)	$\sqrt[4]{\frac{5}{8 a^{2}}}$
7044	Evaluate the Integral	integral of -csc(x)^2cot(x)^3 with respect to x	$\int - \csc^{2} (x) \cot^{3} (x) d x$
7045	Graph	x-y=1 y=5	$x - y = 1$ $y = 5$
7046	Simplify	(2x^(1/2)y^(3/4))(-3x^(2/3)y^(1/2))	$(2 x^{\frac{1}{2}} y^{\frac{3}{4}}) (- 3 x^{\frac{2}{3}} y^{\frac{1}{2}})$
7047	Simplify the Radical Expression	cube root of 343/(x^9)	$\sqrt[3]{\frac{343}{x^{9}}}$
7048	Evaluate	fourth root of 3x-5=-8	$\sqrt[4]{3 x} - 5 = - 8$
7049	Find the Equation Using Two Points	(2,30 degrees ) , (5,120 degrees )	$(2, 30 °)$ , $(5, 120 °)$
7050	Simplify	3/( square root of 2+ square root of 5)	$\frac{3}{\sqrt{2} + \sqrt{5}}$
7051	Find the GCF	27cd , 72 cde	$27 c d$ , $72$ cde
7052	Solve the Rational Equation for x	square root of x=-9	$\sqrt{x} = - 9$
7053	Simplify the Radical Expression	2/( square root of 8+ square root of 7)	$\frac{2}{\sqrt{8} + \sqrt{7}}$
7054	Evaluate	x^2+3=19	$x^{2} + 3 = 19$
7055	Find the Degree, Leading Term, and Leading Coefficient	-x^4+1-1/4x^2	$- x^{4} + 1 - \frac{1}{4} x^{2}$
7056	Simplify	( cube root of 10y)^3	${(\sqrt[3]{10 y})}^{3}$
7057	Graph	f(x)=(6x)^(1/2)+3	$f (x) = {(6 x)}^{\frac{1}{2}} + 3$
7058	Find the LCM	8v^2-6v , 3	$8 v^{2} - 6 v$ , $3$
7059	Find the Maximum/Minimum Value	f(x)=-3x^4-8x^3-6x^2+1	$f (x) = - 3 x^{4} - 8 x^{3} - 6 x^{2} + 1$
7060	Convert to a Percentage	14 is what percent of 56	$14$ is what percent of $56$
7061	Solve for p	4 square root of 3p+1=16	$4 \sqrt{3 p + 1} = 16$
7062	Simplify	((x+5)/10)÷((5(x+5))/2)	$\frac{x + 5}{10} \div \frac{5 (x + 5)}{2}$
7063	Simplify	((x^(4/7))/(x^(2/3)))	$(\frac{x^{\frac{4}{7}}}{x^{\frac{2}{3}}})$
7064	Find the Derivative Using Quotient Rule - d/dx	integral of (sec(x)+csc(x)+cot(x))/(tan(x)^2+sin(x)^2+cos(x)^2) with respect to x	$\int \frac{\sec (x) + \csc (x) + \cot (x)}{\tan^{2} (x) + \sin^{2} (x) + \cos^{2} (x)} d x$
7065	Write in Standard Form	6x^4-1	$6 x^{4} - 1$
7066	Solve for r	-10-5r+7r=10-8(-4r-5)	$- 10 - 5 r + 7 r = 10 - 8 (- 4 r - 5)$
7067	Find the Inverse	y=2 square root of x	$y = 2 \sqrt{x}$
7068	Simplify	i^7*i^17	$i^{7} \cdot i^{17}$
7069	Solve for x	2/3x^2+20=2	$\frac{2}{3} x^{2} + 20 = 2$
7070	Simplify	square root of (b^4)/11	$\sqrt{\frac{b^{4}}{11}}$
7071	Evaluate	square root of 6*(2 square root of 3- square root of 2+ square root of 12)	$\sqrt{6} \cdot (2 \sqrt{3} - \sqrt{2} + \sqrt{12})$
7072	Solve the Function Operation	f(x)=2x^2-7x-4 g(x)=2x-4 Find: f(g(x))	$f (x) = 2 x^{2} - 7 x - 4$ $g (x) = 2 x - 4$ Find: $f (g (x))$
7073	Simplify the Radical Expression	( square root of 8)/( square root of 100)	$\frac{\sqrt{8}}{\sqrt{100}}$
7074	Evaluate	(2x^2+5x-7)+(3-4x^2+6x)	$(2 x^{2} + 5 x - 7) + (3 - 4 x^{2} + 6 x)$
7075	Solve for c	0.8+7.2c=5.6c	$0.8 + 7.2 c = 5.6 c$
7076	Simplify	-9xy+11x^2-14y^2-(6y^2-5xy-3x^2)	$- 9 x y + 11 x^{2} - 14 y^{2} - (6 y^{2} - 5 x y - 3 x^{2})$
7077	Solve for x	x/(x-2)=5/(x-2)-1/2	$\frac{x}{x - 2} = \frac{5}{x - 2} - \frac{1}{2}$
7078	Write the Fraction in Simplest Form	((3s^-3)^5)/(3s^-2)	$\frac{{(3 s^{- 3})}^{5}}{3 s^{- 2}}$
7079	Find Where Increasing/Decreasing	f(x)=1/2x^4-2x^3-54x^2+15	$f (x) = \frac{1}{2} x^{4} - 2 x^{3} - 54 x^{2} + 15$
7080	Evaluate	6÷( square root of 2)	$6 \div \sqrt{2}$
7081	Solve for x	x = square root of x-4+4	$x = \sqrt{x - 4} + 4$
7082	Find the Exact Value	12tan(pi/3)^2+24sec(pi/6)^2	$12 \tan^{2} (\frac{π}{3}) + 24 \sec^{2} (\frac{π}{6})$
7083	Solve by Graphing	y=5/2x+4 y=1/2x	$y = \frac{5}{2} x + 4$ $y = \frac{1}{2} x$
7084	Graph	y=5/2x+4 y=1/2x	$y = \frac{5}{2} x + 4$ $y = \frac{1}{2} x$
7085	Graph	5x^2+2y^2<=10 y>=x^2-2x+1	$5 x^{2} + 2 y^{2} \leq 10$ $y \geq x^{2} - 2 x + 1$
7086	Factor	cot(x)^3+cot(x)^2+cot(x)+1	$\cot^{3} (x) + \cot^{2} (x) + \cot (x) + 1$
7087	Add	(x^3)/(x^2+1)+x/(x^2+1)	$\frac{x^{3}}{x^{2} + 1} + \frac{x}{x^{2} + 1}$
7088	Simplify	(x^2+6x^3+3)-(3x^3+6x^2-3-4x)	$(x^{2} + 6 x^{3} + 3) - (3 x^{3} + 6 x^{2} - 3 - 4 x)$
7089	Simplify	(p^(-3/4)q^3)^(1/3)	${(p^{\frac{- 3}{4}} q^{3})}^{\frac{1}{3}}$
7090	Find the Upper and Lower Bounds	f(x)=x^4-4x^3-9x^2+x-16	$f (x) = x^{4} - 4 x^{3} - 9 x^{2} + x - 16$
7091	Find the Antiderivative	(x^3)/( square root of 1-x^2)	$\frac{x^{3}}{\sqrt{1 - x^{2}}}$
7092	Find All Complex Solutions	(x-2)^2=-16	${(x - 2)}^{2} = - 16$
7093	Solve for x	x/4+6/7(6x+7)=610	$\frac{x}{4} + \frac{6}{7} (6 x + 7) = 610$
7094	Solve for y	square root of y-8=-1	$\sqrt{y - 8} = - 1$
7095	Simplify	(-5)^(1/3)(-5)^(1/3)(-5)^(1/3)	${(- 5)}^{\frac{1}{3}} \cdot {(- 5)}^{\frac{1}{3}} \cdot {(- 5)}^{\frac{1}{3}}$
7096	Convert to a Decimal	35 girls : 15 boys	$35$ girls : $15$ boys
7097	Solve for x	6e^(0.25x+3)=26	$6 e^{0.25 x + 3} = 26$
7098	Find the Product	-x(2x^3-x^2+6x-8)	$- x (2 x^{3} - x^{2} + 6 x - 8)$
7099	Simplify	(6a^2)/(5b^2)*(45b^3)/(18a^3)	$\frac{6 a^{2}}{5 b^{2}} \cdot \frac{45 b^{3}}{18 a^{3}}$
7100	Simplify	2/((16m^3n^4)^-3)	$\frac{2}{{(16 m^{3} n^{4})}^{- 3}}$