Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225501	Simplify	(sin(x)^4)/(cos(x)^2)	$\frac{\sin^{4} (x)}{\cos^{2} (x)}$
225502	Find the Inverse	F(x)=x^3-5/6	$F (x) = x^{3} - \frac{5}{6}$
225503	Graph Using a Table of Values	h(x)=5\|x-6\|-8	$h (x) = 5 \| x - 6 \| - 8$
225504	Simplify the Radical Expression	(3 square root of 8)/(8 square root of 5)	$\frac{3 \sqrt{8}}{8 \sqrt{5}}$
225505	Solve for x	x^3+3x^2=24x+72	$x^{3} + 3 x^{2} = 24 x + 72$
225506	Evaluate	-54/50-40/100+1.65	$- \frac{54}{50} - \frac{40}{100} + 1.65$
225507	Divide	1/22/1	$\frac{1}{2} \cdot \frac{2}{1}$
225508	Solve for x	y=2(x-a)	$y = 2 (x - a)$
225509	Solve for a	2a-7=2a	$2 a - 7 = 2 a$
225510	Simplify	fifth root of (9x^11y^2)/(32xy^7)	$\sqrt[5]{\frac{9 x^{11} y^{2}}{32 x y^{7}}}$
225511	Find the Roots (Zeros)	(x-2)^2(x+3)(x+1)^2	${(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
225512	Simplify	-4(x+1/16)	$- 4 (x + \frac{1}{16})$
225513	Evaluate	80% of 25	$80 %$ of $25$
225514	Simplify	(8-2i^4)+(3-7i^8)-(4+i^9)	$(8 - 2 i^{4}) + (3 - 7 i^{8}) - (4 + i^{9})$
225515	Simplify	(cos(A)+cos(B))/(sin(A)-sin(B))+(sin(A)+sin(B))/(cos(A)-cos(B)) ?	$\frac{\cos (A) + \cos (B)}{\sin (A) - \sin (B)} + \frac{\sin (A) + \sin (B)}{\cos (A) - \cos (B)}$ ?
225516	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-5) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(6, - 5)$ and has a slope of $- \frac{3}{2}$ ?
225517	Evaluate	(sec(x))/(sin(x))-(sin(x))/(cos(x))	$\frac{\sec (x)}{\sin (x)} - \frac{\sin (x)}{\cos (x)}$
225518	Evaluate	(-pi/2)/2	$\frac{- \frac{π}{2}}{2}$
225519	Solve by Factoring	30x^2-10=5x^2-1	$30 x^{2} - 10 = 5 x^{2} - 1$
225520	Solve the Inequality for x	3(-3+7x)<=-93	$3 (- 3 + 7 x) \leq - 93$
225521	Simplify	(-1b-2)^3	${(- 1 b - 2)}^{3}$
225522	Solve for r	1-5r=-2r^2	$1 - 5 r = - 2 r^{2}$
225523	Graph Using a Table of Values	y=1/(3x)	$y = \frac{1}{3 x}$
225524	Solve the System of Equations	x^2+y^2=25 x-y^2=-5	$x^{2} + y^{2} = 25$ $x - y^{2} = - 5$
225525	Evaluate	(729^2+21879^227)/(39^327^2+16236243*12)	$\frac{729^{2} + 2187 \cdot 9^{2} \cdot 27}{3 \cdot 9^{3} \cdot 27^{2} + 162 \cdot 36 \cdot 243 \cdot 12}$
225526	Solve the Inequality for x	6(2x+1/2)+3<=-3	$6 (2 x + \frac{1}{2}) + 3 \leq - 3$
225527	Solve for x	(5- square root of x)^2=y-20 square root of 2	${(5 - \sqrt{x})}^{2} = y - 20 \sqrt{2}$
225528	Solve the Inequality for x	log base 5 of x+5>=2	$\log_{5} (x + 5) \geq 2$
225529	Graph	0>=x+4 or 9	$0 \geq x + 4$ or $9$
225530	Solve by Completing the Square	x^2+18x+c=25+c	$x^{2} + 18 x + c = 25 + c$
225531	Divide	( square root of 2)/2( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
225532	Write in Standard Form	2x(3x^3+5y)	$2 x (3 x^{3} + 5 y)$
225533	Simplify	2a^3(5a^2-7a)+(3a^4-a^5)	$2 a^{3} (5 a^{2} - 7 a) + (3 a^{4} - a^{5})$
225534	Evaluate	(4/(4^-3))^-2	${(\frac{4}{4^{- 3}})}^{- 2}$
225535	Simplify	((x^2)/(x-1))/((3x^2)/(x+4))	$\frac{\frac{x^{2}}{x - 1}}{\frac{3 x^{2}}{x + 4}}$
225536	Simplify	(4m2)5m	$(4 m \cdot 2) \cdot 5 m$
225537	Simplify the Radical Expression	( cube root of 4)÷( cube root of 6)	$\sqrt[3]{4} \div \sqrt[3]{6}$
225538	Solve the Inequality for p	0.75p=0.4p+100	$0.75 p = 0.4 p + 100$
225539	Find the Distance Between Two Points	(x_1,y_1) and (x_2,y_2)	$(x_{1}, y_{1})$ and $(x_{2}, y_{2})$
225540	Evaluate	arccos(cos(pi/3))	$\arccos (\cos (\frac{π}{3}))$
225541	Find the Roots (Zeros)	f(x)=x^4-4x^3+x^2-1	$f (x) = x^{4} - 4 x^{3} + x^{2} - 1$
225542	Multiply	(2x-y)(4x^2+2xy+y^2)	$(2 x - y) (4 x^{2} + 2 x y + y^{2})$
225543	Solve the System of Equations	-8x+3y=-17 and 3x-y=7	$- 8 x + 3 y = - 17$ and $3 x - y = 7$
225544	Evaluate	(3x^2y^2)/(2x^-1*4yx^2)	$\frac{3 x^{2} y^{2}}{2 x^{- 1} \cdot 4 y x^{2}}$
225545	Simplify	(3x^2y^6z^-2)/(4x^4y^3z^4)	$\frac{3 x^{2} y^{6} z^{- 2}}{4 x^{4} y^{3} z^{4}}$
225546	Divide	1÷(-( square root of 3)/2)	$1 \div (- \frac{\sqrt{3}}{2})$
225547	Simplify	(5x^4+3x^2-6x-10)+(2x^3-7x^2+6x+1)	$(5 x^{4} + 3 x^{2} - 6 x - 10) + (2 x^{3} - 7 x^{2} + 6 x + 1)$
225548	Solve the Inequality for k	2(k-5)<2k+5	$2 (k - 5) < 2 k + 5$
225549	Graph	y=1/2cos(x+pi/2)+2	$y = \frac{1}{2} \cos (x + \frac{π}{2}) + 2$
225550	Graph	x+7>=17 and x+7<19	$x + 7 \geq 17$ and $x + 7 < 19$
225551	Evaluate the Function	g(2+h)=(2+h)^2	$g (2 + h) = {(2 + h)}^{2}$
225552	Simplify the Radical Expression	square root of 3v(2 square root of 15v- square root of 6)	$\sqrt{3 v} (2 \sqrt{15 v} - \sqrt{6})$
225553	Solve the System of Inequalities	x+3y<3 x-2y>=4	$x + 3 y < 3$ $x - 2 y \geq 4$
225554	Solve for x	-4-9x=0	$- 4 - 9 x = 0$
225555	Simplify	(-8^-2)/(5^-1cd^0)	$\frac{- 8^{- 2}}{5^{- 1} c d^{0}}$
225556	Evaluate	10% of 100	$10 %$ of $100$
225557	Write with Rational (Fractional) Exponents	eighth root of 8^3* eighth root of 8^4	$\sqrt[8]{8^{3}} \cdot \sqrt[8]{8^{4}}$
225558	Factor	x^2=5x	$x^{2} = 5 x$
225559	Solve for x	3^x=3 square root of 3	$3^{x} = 3 \sqrt{3}$
225560	Combine Like Terms	6x+2(x+4)	$6 x + 2 (x + 4)$
225561	Simplify the Radical Expression	3 square root of 24-6 square root of 32+2 square root of 54- square root of 50	$3 \sqrt{24} - 6 \sqrt{32} + 2 \sqrt{54} - \sqrt{50}$
225562	Simplify	csc(theta)^2-cot(theta)^2+tan(theta)^2	$\csc^{2} (θ) - \cot^{2} (θ) + \tan^{2} (θ)$
225563	Solve the Inequality for x	(\|2+3x\|)/2>=5	$\frac{\| 2 + 3 x \|}{2} \geq 5$
225564	Solve the Inequality for x	x+10+4x<=60	$x + 10 + 4 x \leq 60$
225565	Solve the Inequality for x	-2(3/5x+6)-1>4x	$- 2 (\frac{3}{5} x + 6) - 1 > 4 x$
225566	Simplify	1/3x^3-1/5x^3	$\frac{1}{3} x^{3} - \frac{1}{5} x^{3}$
225567	Simplify	(4a^3b-6ab+2ab^2)/(2ab)	$\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b}$
225568	Simplify	5x^4x^93x	$5 x^{4} \cdot x^{9} \cdot 3 x$
225569	Graph	18>=x+8>=11	$18 \geq x + 8 \geq 11$
225570	Multiply	4x^3y(3x^2-5y)	$4 x^{3} y (3 x^{2} - 5 y)$
225571	Find the LCD	3/(x-5) and 11/(x+5)	$\frac{3}{x - 5}$ and $\frac{11}{x + 5}$
225572	Solve the Inequality for x	b(x-3)>=ax+7b	$b (x - 3) \geq a x + 7 b$
225573	Solve for x	(1/8)^(3x)=64	${(\frac{1}{8})}^{3 x} = 64$
225574	Multiply	( square root of 2)/2*2/( square root of 2)	$\frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$
225575	Evaluate	3(16)^(1/2)-9	$3 {(16)}^{\frac{1}{2}} - 9$
225576	Simplify	((2x^2+4x)/(x^2-4))÷((x^2-3x+2)/(3x-6))	$\frac{2 x^{2} + 4 x}{x^{2} - 4} \div \frac{x^{2} - 3 x + 2}{3 x - 6}$
225577	Solve the Inequality for n	-3n+2>=-4n-3	$- 3 n + 2 \geq - 4 n - 3$
225578	Divide Using Long Polynomial Division	(x^5-3x^2+2x)/x	$\frac{x^{5} - 3 x^{2} + 2 x}{x}$
225579	Simplify	20 root of a^10b^15c^30	$\sqrt[20]{a^{10} b^{15} c^{30}}$
225580	Simplify	(5ab)/(a^2-b^2)-(a-b)/(a+b)	$\frac{5 a b}{a^{2} - b^{2}} - \frac{a - b}{a + b}$
225581	Write the Fraction in Simplest Form	((5y)/(y^2+4y+4))÷((20y^2)/(y^2-4))	$\frac{5 y}{y^{2} + 4 y + 4} \div \frac{20 y^{2}}{y^{2} - 4}$
225582	Simplify	9/8a+4/8a-5/8	$\frac{9}{8} a + \frac{4}{8} a - \frac{5}{8}$
225583	Divide	(15x^5-25x^3+5x^2)/(5x^4)	$\frac{15 x^{5} - 25 x^{3} + 5 x^{2}}{5 x^{4}}$
225584	Solve for X	6-2X=6X-10X+16	$6 - 2 X = 6 X - 10 X + 16$
225585	Simplify	(2+i)+(i^4+i^3)	$(2 + i) + (i^{4} + i^{3})$
225586	Multiply	fourth root of 3* fourth root of -3	$\sqrt[4]{3} \cdot \sqrt[4]{- 3}$
225587	Write as a Single Logarithm	natural log of 7-1/3 natural log of 27+ natural log of 6	$\ln (7) - \frac{1}{3} \ln (27) + \ln (6)$
225588	Expand the Logarithmic Expression	log base 7 of (11/(10^2))^4	$\log_{7} ({(\frac{11}{10^{2}})}^{4})$
225589	Solve for x	x/12=50/(6x)	$\frac{x}{12} = \frac{50}{6 x}$
225590	Solve for y	x=y^3+1	$x = y^{3} + 1$
225591	Simplify the Radical Expression	3^(1/3)*9^(1/3)	$3^{\frac{1}{3}} \cdot 9^{\frac{1}{3}}$
225592	Factor	121x^2y^6z^8-225w^4	$121 x^{2} y^{6} z^{8} - 225 w^{4}$
225593	Solve for c	3a=-b+c	$3 a = - b + c$
225594	Divide	(x^2-x+5)/( square root of x)	$\frac{x^{2} - x + 5}{\sqrt{x}}$
225595	Find the GCF	10ab+5a	$10 a b + 5 a$
225596	Find the Degree, Leading Term, and Leading Coefficient	-10c^3-c^4+3c^2	$- 10 c^{3} - c^{4} + 3 c^{2}$
225597	Simplify	x/y-1/(xy)	$\frac{x}{y} - \frac{1}{x y}$
225598	Find the Roots (Zeros)	-x(x+4)(x+2/3)(x-9)	$- x (x + 4) (x + \frac{2}{3}) (x - 9)$
225599	Solve for y	\|x\|-y=2	$\| x \| - y = 2$
225600	Solve for x	(x+1)/2=(x-1)/x	$\frac{x + 1}{2} = \frac{x - 1}{x}$