Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225501	Evaluate	(sec(x))/(sin(x))-(sin(x))/(cos(x))	$\frac{\sec (x)}{\sin (x)} - \frac{\sin (x)}{\cos (x)}$
225502	Evaluate	(-pi/2)/2	$\frac{- \frac{π}{2}}{2}$
225503	Solve by Factoring	30x^2-10=5x^2-1	$30 x^{2} - 10 = 5 x^{2} - 1$
225504	Solve the Inequality for x	3(-3+7x)<=-93	$3 (- 3 + 7 x) \leq - 93$
225505	Simplify	(-1b-2)^3	${(- 1 b - 2)}^{3}$
225506	Solve for r	1-5r=-2r^2	$1 - 5 r = - 2 r^{2}$
225507	Graph Using a Table of Values	y=1/(3x)	$y = \frac{1}{3 x}$
225508	Solve the System of Equations	x^2+y^2=25 x-y^2=-5	$x^{2} + y^{2} = 25$ $x - y^{2} = - 5$
225509	Evaluate	(729^2+21879^227)/(39^327^2+16236243*12)	$\frac{729^{2} + 2187 \cdot 9^{2} \cdot 27}{3 \cdot 9^{3} \cdot 27^{2} + 162 \cdot 36 \cdot 243 \cdot 12}$
225510	Solve the Inequality for x	6(2x+1/2)+3<=-3	$6 (2 x + \frac{1}{2}) + 3 \leq - 3$
225511	Solve for x	(5- square root of x)^2=y-20 square root of 2	${(5 - \sqrt{x})}^{2} = y - 20 \sqrt{2}$
225512	Solve the Inequality for x	log base 5 of x+5>=2	$\log_{5} (x + 5) \geq 2$
225513	Graph	0>=x+4 or 9	$0 \geq x + 4$ or $9$
225514	Solve by Completing the Square	x^2+18x+c=25+c	$x^{2} + 18 x + c = 25 + c$
225515	Divide	( square root of 2)/2( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
225516	Write in Standard Form	2x(3x^3+5y)	$2 x (3 x^{3} + 5 y)$
225517	Simplify	2a^3(5a^2-7a)+(3a^4-a^5)	$2 a^{3} (5 a^{2} - 7 a) + (3 a^{4} - a^{5})$
225518	Evaluate	(4/(4^-3))^-2	${(\frac{4}{4^{- 3}})}^{- 2}$
225519	Simplify	((x^2)/(x-1))/((3x^2)/(x+4))	$\frac{\frac{x^{2}}{x - 1}}{\frac{3 x^{2}}{x + 4}}$
225520	Simplify	(4m2)5m	$(4 m \cdot 2) \cdot 5 m$
225521	Simplify the Radical Expression	( cube root of 4)÷( cube root of 6)	$\sqrt[3]{4} \div \sqrt[3]{6}$
225522	Solve the Inequality for p	0.75p=0.4p+100	$0.75 p = 0.4 p + 100$
225523	Find the Distance Between Two Points	(x_1,y_1) and (x_2,y_2)	$(x_{1}, y_{1})$ and $(x_{2}, y_{2})$
225524	Evaluate	arccos(cos(pi/3))	$\arccos (\cos (\frac{π}{3}))$
225525	Find the Roots (Zeros)	f(x)=x^4-4x^3+x^2-1	$f (x) = x^{4} - 4 x^{3} + x^{2} - 1$
225526	Multiply	(2x-y)(4x^2+2xy+y^2)	$(2 x - y) (4 x^{2} + 2 x y + y^{2})$
225527	Solve the System of Equations	-8x+3y=-17 and 3x-y=7	$- 8 x + 3 y = - 17$ and $3 x - y = 7$
225528	Evaluate	(3x^2y^2)/(2x^-1*4yx^2)	$\frac{3 x^{2} y^{2}}{2 x^{- 1} \cdot 4 y x^{2}}$
225529	Simplify	(3x^2y^6z^-2)/(4x^4y^3z^4)	$\frac{3 x^{2} y^{6} z^{- 2}}{4 x^{4} y^{3} z^{4}}$
225530	Divide	1÷(-( square root of 3)/2)	$1 \div (- \frac{\sqrt{3}}{2})$
225531	Simplify	(5x^4+3x^2-6x-10)+(2x^3-7x^2+6x+1)	$(5 x^{4} + 3 x^{2} - 6 x - 10) + (2 x^{3} - 7 x^{2} + 6 x + 1)$
225532	Solve the Inequality for k	2(k-5)<2k+5	$2 (k - 5) < 2 k + 5$
225533	Graph	y=1/2cos(x+pi/2)+2	$y = \frac{1}{2} \cos (x + \frac{π}{2}) + 2$
225534	Graph	x+7>=17 and x+7<19	$x + 7 \geq 17$ and $x + 7 < 19$
225535	Evaluate the Function	g(2+h)=(2+h)^2	$g (2 + h) = {(2 + h)}^{2}$
225536	Simplify the Radical Expression	square root of 3v(2 square root of 15v- square root of 6)	$\sqrt{3 v} (2 \sqrt{15 v} - \sqrt{6})$
225537	Solve the System of Inequalities	x+3y<3 x-2y>=4	$x + 3 y < 3$ $x - 2 y \geq 4$
225538	Solve for x	-4-9x=0	$- 4 - 9 x = 0$
225539	Simplify	(-8^-2)/(5^-1cd^0)	$\frac{- 8^{- 2}}{5^{- 1} c d^{0}}$
225540	Evaluate	10% of 100	$10 %$ of $100$
225541	Write with Rational (Fractional) Exponents	eighth root of 8^3* eighth root of 8^4	$\sqrt[8]{8^{3}} \cdot \sqrt[8]{8^{4}}$
225542	Factor	x^2=5x	$x^{2} = 5 x$
225543	Solve for x	3^x=3 square root of 3	$3^{x} = 3 \sqrt{3}$
225544	Combine Like Terms	6x+2(x+4)	$6 x + 2 (x + 4)$
225545	Simplify the Radical Expression	3 square root of 24-6 square root of 32+2 square root of 54- square root of 50	$3 \sqrt{24} - 6 \sqrt{32} + 2 \sqrt{54} - \sqrt{50}$
225546	Simplify	csc(theta)^2-cot(theta)^2+tan(theta)^2	$\csc^{2} (θ) - \cot^{2} (θ) + \tan^{2} (θ)$
225547	Solve the Inequality for x	(\|2+3x\|)/2>=5	$\frac{\| 2 + 3 x \|}{2} \geq 5$
225548	Solve the Inequality for x	x+10+4x<=60	$x + 10 + 4 x \leq 60$
225549	Solve the Inequality for x	-2(3/5x+6)-1>4x	$- 2 (\frac{3}{5} x + 6) - 1 > 4 x$
225550	Simplify	1/3x^3-1/5x^3	$\frac{1}{3} x^{3} - \frac{1}{5} x^{3}$
225551	Simplify	(4a^3b-6ab+2ab^2)/(2ab)	$\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b}$
225552	Simplify	5x^4x^93x	$5 x^{4} \cdot x^{9} \cdot 3 x$
225553	Graph	18>=x+8>=11	$18 \geq x + 8 \geq 11$
225554	Multiply	4x^3y(3x^2-5y)	$4 x^{3} y (3 x^{2} - 5 y)$
225555	Find the LCD	3/(x-5) and 11/(x+5)	$\frac{3}{x - 5}$ and $\frac{11}{x + 5}$
225556	Solve the Inequality for x	b(x-3)>=ax+7b	$b (x - 3) \geq a x + 7 b$
225557	Solve for x	(1/8)^(3x)=64	${(\frac{1}{8})}^{3 x} = 64$
225558	Multiply	( square root of 2)/2*2/( square root of 2)	$\frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$
225559	Evaluate	3(16)^(1/2)-9	$3 {(16)}^{\frac{1}{2}} - 9$
225560	Simplify	((2x^2+4x)/(x^2-4))÷((x^2-3x+2)/(3x-6))	$\frac{2 x^{2} + 4 x}{x^{2} - 4} \div \frac{x^{2} - 3 x + 2}{3 x - 6}$
225561	Solve the Inequality for n	-3n+2>=-4n-3	$- 3 n + 2 \geq - 4 n - 3$
225562	Divide Using Long Polynomial Division	(x^5-3x^2+2x)/x	$\frac{x^{5} - 3 x^{2} + 2 x}{x}$
225563	Simplify	20 root of a^10b^15c^30	$\sqrt[20]{a^{10} b^{15} c^{30}}$
225564	Simplify	(5ab)/(a^2-b^2)-(a-b)/(a+b)	$\frac{5 a b}{a^{2} - b^{2}} - \frac{a - b}{a + b}$
225565	Write the Fraction in Simplest Form	((5y)/(y^2+4y+4))÷((20y^2)/(y^2-4))	$\frac{5 y}{y^{2} + 4 y + 4} \div \frac{20 y^{2}}{y^{2} - 4}$
225566	Simplify	9/8a+4/8a-5/8	$\frac{9}{8} a + \frac{4}{8} a - \frac{5}{8}$
225567	Divide	(15x^5-25x^3+5x^2)/(5x^4)	$\frac{15 x^{5} - 25 x^{3} + 5 x^{2}}{5 x^{4}}$
225568	Solve for X	6-2X=6X-10X+16	$6 - 2 X = 6 X - 10 X + 16$
225569	Simplify	(2+i)+(i^4+i^3)	$(2 + i) + (i^{4} + i^{3})$
225570	Multiply	fourth root of 3* fourth root of -3	$\sqrt[4]{3} \cdot \sqrt[4]{- 3}$
225571	Write as a Single Logarithm	natural log of 7-1/3 natural log of 27+ natural log of 6	$\ln (7) - \frac{1}{3} \ln (27) + \ln (6)$
225572	Expand the Logarithmic Expression	log base 7 of (11/(10^2))^4	$\log_{7} ({(\frac{11}{10^{2}})}^{4})$
225573	Solve for x	x/12=50/(6x)	$\frac{x}{12} = \frac{50}{6 x}$
225574	Solve for y	x=y^3+1	$x = y^{3} + 1$
225575	Simplify the Radical Expression	3^(1/3)*9^(1/3)	$3^{\frac{1}{3}} \cdot 9^{\frac{1}{3}}$
225576	Factor	121x^2y^6z^8-225w^4	$121 x^{2} y^{6} z^{8} - 225 w^{4}$
225577	Solve for c	3a=-b+c	$3 a = - b + c$
225578	Divide	(x^2-x+5)/( square root of x)	$\frac{x^{2} - x + 5}{\sqrt{x}}$
225579	Find the GCF	10ab+5a	$10 a b + 5 a$
225580	Find the Degree, Leading Term, and Leading Coefficient	-10c^3-c^4+3c^2	$- 10 c^{3} - c^{4} + 3 c^{2}$
225581	Simplify	x/y-1/(xy)	$\frac{x}{y} - \frac{1}{x y}$
225582	Find the Roots (Zeros)	-x(x+4)(x+2/3)(x-9)	$- x (x + 4) (x + \frac{2}{3}) (x - 9)$
225583	Solve for y	\|x\|-y=2	$\| x \| - y = 2$
225584	Solve for x	(x+1)/2=(x-1)/x	$\frac{x + 1}{2} = \frac{x - 1}{x}$
225585	Factor	Factor the polynomial 3x^2-75	Factor the polynomial $3 x^{2} - 75$
225586	Simplify	6xy^3z*3x^2yz^2	$6 x y^{3} z \cdot 3 x^{2} y z^{2}$
225587	Solve for m	-6m^2=-414	$- 6 m^{2} = - 414$
225588	Simplify	(m+2)((m^2+3m-6)+(m^2-2m+4))	$(m + 2) ((m^{2} + 3 m - 6) + (m^{2} - 2 m + 4))$
225589	Solve the Inequality for x	-4x^2-13>11x-7	$- 4 x^{2} - 13 > 11 x - 7$
225590	Factor	3(3x+2)(2x-5)^(-1/4)+6(2x-5)^(3/4)	$3 (3 x + 2) {(2 x - 5)}^{- \frac{1}{4}} + 6 {(2 x - 5)}^{\frac{3}{4}}$
225591	Simplify	(-2^-4)/(3^-3)	$\frac{- 2^{- 4}}{3^{- 3}}$
225592	Convert to Rectangular	(2+2 square root of 3i)^6	${(2 + 2 \sqrt{3} i)}^{6}$
225593	Solve for m	4n=3m-1	$4 n = 3 m - 1$
225594	Find the GCF	21m^5n^2+6m^3n+15m^2	$21 m^{5} n^{2} + 6 m^{3} n + 15 m^{2}$
225595	Solve by Substitution	5x=15+10y 3x+7y=31	$5 x = 15 + 10 y$ $3 x + 7 y = 31$
225596	Evaluate	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
225597	Divide Using Synthetic Division	(x^3+x^2+5x)÷(x+1)	$(x^{3} + x^{2} + 5 x) \div (x + 1)$
225598	Convert to a Percentage	what percent of 40 is 14	what percent of $40$ is $14$
225599	Simplify	5^0*(5^-5)/(5^5)	$5^{0} \cdot \frac{5^{- 5}}{5^{5}}$
225600	Simplify	8.12(x^(2/3)y^(4/5)z^(6/7))^0	$8.12 {(x^{\frac{2}{3}} y^{\frac{4}{5}} z^{\frac{6}{7}})}^{0}$