Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
22201	Solve for x	-4/(x^2-5x+6)=(2x)/(x-2)	$\frac{- 4}{x^{2} - 5 x + 6} = \frac{2 x}{x - 2}$
22202	Solve for r	6(-r+8)=-5(-13r+16)-14	$6 (- r + 8) = - 5 (- 13 r + 16) - 14$
22203	Multiply	(x+4)/(3x)*(4x^2)/(x^2+9x+20)	$\frac{x + 4}{3 x} \cdot \frac{4 x^{2}}{x^{2} + 9 x + 20}$
22204	Find the Slope	(-2,13) and (1,1)	$(- 2, 13)$ and $(1, 1)$
22205	Factor	x^2-ac-cx+ax	$x^{2} - a c - c x + a x$
22206	Solve for x	x+3-4/(x-1)=5	$x + 3 - \frac{4}{x - 1} = 5$
22207	Evaluate	5*(-2w-4)	$5 \cdot (- 2 w - 4)$
22208	Evaluate	i^38*i^9	$i^{38} \cdot i^{9}$
22209	Solve by Substitution	-5x+y=-3 and 3x-8y=24	$- 5 x + y = - 3$ and $3 x - 8 y = 24$
22210	Simplify	24÷8-4^2	$24 \div 8 - 4^{2}$
22211	Add	(d-9)-(3d-1)	$(d - 9) - (3 d - 1)$
22212	Solve for z	-7(2z-18)=-16z	$- 7 (2 z - 18) = - 16 z$
22213	Evaluate	(23^20-53^19)/((-9)^9)	$\frac{2 \cdot 3^{20} - 5 \cdot 3^{19}}{{(- 9)}^{9}}$
22214	Find the Domain and Range	y=3- square root of 2x	$y = 3 - \sqrt{2 x}$
22215	Solve for x	1/x+1/(2x)=1/(6a)	$\frac{1}{x} + \frac{1}{2 x} = \frac{1}{6 a}$
22216	Find the Equation Using Two Points	(3,3) and (1,-3)	$(3, 3)$ and $(1, - 3)$
22217	Solve the Inequality for x	(-3+x)/9<=-2	$\frac{- 3 + x}{9} \leq - 2$
22218	Simplify	(-1-1)/(-1+1)	$\frac{- 1 - 1}{- 1 + 1}$
22219	Find the Domain	(x+2)/(x^2-25)+1=(8x)/(2x-10)	$\frac{x + 2}{x^{2} - 25} + 1 = \frac{8 x}{2 x - 10}$
22220	Solve for t	25(1-e^t)=12	$25 (1 - e^{t}) = 12$
22221	Simplify	(4+4i)/(1+i)	$\frac{4 + 4 i}{1 + i}$
22222	Solve the Inequality for x	tan(x)<1	$\tan (x) < 1$
22223	Multiply	(3a^2-5ab+2b^2)*(4a-5b)	$(3 a^{2} - 5 a b + 2 b^{2}) \cdot (4 a - 5 b)$
22224	Simplify	(2x)/(4x^2+9x+2)+3/(2x^2-8x-24)	$\frac{2 x}{4 x^{2} + 9 x + 2} + \frac{3}{2 x^{2} - 8 x - 24}$
22225	Solve for b	63=7(1+4b)	$63 = 7 (1 + 4 b)$
22226	Find the Roots (Zeros)	f(x) = log base 2 of x+3	$f (x) = \log_{2} (x + 3)$
22227	Solve for x	sin(arcsin(x))=1	$\sin (\arcsin (x)) = 1$
22228	Simplify	2 cube root of 16+5 cube root of 54- cube root of 250+1/2 cube root of 128	$2 \sqrt[3]{16} + 5 \sqrt[3]{54} - \sqrt[3]{250} + \frac{1}{2} \sqrt[3]{128}$
22229	Graph	x+y=27 y=x+3	$x + y = 27$ $y = x + 3$
22230	Simplify	(x^3+x^2-4x-4)/(x^3+2x^2-x-2)	$\frac{x^{3} + x^{2} - 4 x - 4}{x^{3} + 2 x^{2} - x - 2}$
22231	Solve the Rational Equation for x	2 square root of x=14	$2 \sqrt{x} = 14$
22232	Solve the System of Equations	y=2x^2+x 2x+y=20	$y = 2 x^{2} + x$ $2 x + y = 20$
22233	Solve for x	12.25+x=4 1/2	$12.25 + x = 4 \frac{1}{2}$
22234	Simplify	2i^68+i^71+3i^40+6i^9	$2 i^{68} + i^{71} + 3 i^{40} + 6 i^{9}$
22235	Simplify	3^(3/4)*0.3^(1/4)	$3^{\frac{3}{4}} \cdot {0.3}^{\frac{1}{4}}$
22236	Find the Derivative - d/dx	y=cos(x^2)*sin(x^2)	$y = \cos (x^{2}) \cdot \sin (x^{2})$
22237	Solve for x	square root of 4x+16=0	$\sqrt{4 x} + 16 = 0$
22238	Solve for g	-18-4(-2g-15)=5g	$- 18 - 4 (- 2 g - 15) = 5 g$
22239	Evaluate the Limit	limit as x approaches 0 of e^(-x)	$lim_{x \to 0} e^{- x}$
22240	Simplify	((x^2-2x-3)/(x+1))÷((x-3)/5)	$\frac{(x^{2} - 2 x - 3)}{(x + 1)} \div \frac{(x - 3)}{5}$
22241	Divide	(x^2+5x+6)/(x^2)	$\frac{x^{2} + 5 x + 6}{x^{2}}$
22242	Evaluate	-2(11-12x)=-4(1-6x)	$- 2 (11 - 12 x) = - 4 (1 - 6 x)$
22243	Find the Domain and Range	y=-3sin(pix)	$y = - 3 \sin (π x)$
22244	Solve the Inequality for z	1/9z>=-2/3	$\frac{1}{9} z \geq - \frac{2}{3}$
22245	Evaluate the Integral	integral from -1 to 1 of 3\|x^3\| with respect to x	$\int_{- 1}^{1} 3 \| x^{3} \| d x$
22246	Evaluate	5(2pi)	$5 (2 π)$
22247	Solve for y	-2/(y-4)=-6/(3y-12)+2	$- \frac{2}{y - 4} = - \frac{6}{3 y - 12} + 2$
22248	Write the Fraction in Simplest Form	(5(u^-3)^2)/(2u^8)	$\frac{5 {(u^{- 3})}^{2}}{2 u^{8}}$
22249	Simplify the Radical Expression	x*x^(1/2)	$x \cdot x^{\frac{1}{2}}$
22250	Solve by Addition/Elimination	6x=4y-42 4x+y=5	$6 x = 4 y - 42$ $4 x + y = 5$
22251	Simplify	(8+2i)/(8-4i)	$\frac{8 + 2 i}{8 - 4 i}$
22252	Graph	y=( square root of 2)^x	$y = {(\sqrt{2})}^{x}$
22253	Write the Fraction in Simplest Form	(15p^-1d^9)/(3(p^2d^3)^-3)	$\frac{15 p^{- 1} d^{9}}{3 {(p^{2} d^{3})}^{- 3}}$
22254	Determine if Dependent, Independent, or Inconsistent	-x-3y=0 x-y=4	$- x - 3 y = 0$ $x - y = 4$
22255	Simplify	1/( log base 2 of 30)+1/( log base 3 of 30)+1/( log base 5 of 30)	$\frac{1}{\log_{2} (30)} + \frac{1}{\log_{3} (30)} + \frac{1}{\log_{5} (30)}$
22256	Evaluate	6^-8*0.6^5	$6^{- 8} \cdot {0.6}^{5}$
22257	Simplify	(2a^5)^0*(2a^3b^4)^5	${(2 a^{5})}^{0} \cdot {(2 a^{3} b^{4})}^{5}$
22258	Find the Secant Given the Point	(3, square root of 3)	$(3, \sqrt{3})$
22259	Solve the Inequality for k	14<k+11	$14 < k + 11$
22260	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-3x^3+2x^5+x+8x^3-6+x^4-3x^2	$f (x) = - 3 x^{3} + 2 x^{5} + x + 8 x^{3} - 6 + x^{4} - 3 x^{2}$
22261	Graph	x-y=6 y=-2x	$x - y = 6$ $y = - 2 x$
22262	Write the Fraction in Simplest Form	(x^6)/(x^8)	$\frac{x^{6}}{x^{8}}$
22263	Subtract	3 2/3-20/12	$3 \frac{2}{3} - \frac{20}{12}$
22264	Evaluate	csc(225)	$\csc (225)$
22265	Simplify	((12x-6)/(3x))	$(\frac{12 x - 6}{3 x})$
22266	Evaluate the Integral	integral of (1/(x^3)-1/(x^2)) with respect to x	$\int (\frac{1}{x^{3}} - \frac{1}{x^{2}}) d x$
22267	Evaluate	25x^2-3=0	$25 x^{2} - 3 = 0$
22268	Divide Using Synthetic Division	(x^3+5x-6x-49)/(x-3)	$\frac{x^{3} + 5 x - 6 x - 49}{x - 3}$
22269	Determine if Odd, Even, or Neither	y=f(x)g(x)	$y = f (x) g (x)$
22270	Solve the Inequality for x	8<2x<x+8	$8 < 2 x < x + 8$
22271	Simplify	1/(csc(x)-cot(x))+1/(csc(x)+cot(x))	$\frac{1}{\csc (x) - \cot (x)} + \frac{1}{\csc (x) + \cot (x)}$
22272	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-7x^3+x^2-18x-9 is divided by x-3	Use synthetic division to find the result when $3 x^{4} - 7 x^{3} + x^{2} - 18 x - 9$ is divided by $x - 3$
22273	Solve for x	(9.8(68.1))/x(1-e^(-0.146843x))-40=0	$\frac{9.8 (68.1)}{x} (1 - e^{- 0.146843 x}) - 40 = 0$
22274	Evaluate Using Summation Formulas	sum from i=1 to 9 of 3i^2+8i-5	$\sum_{i = 1}^{9} 3 i^{2} + 8 i - 5$
22275	Find the Secant Given the Point	(5 1/2,-2 square root of 15)	$(5 \frac{1}{2}, - 2 \sqrt{15})$
22276	Evaluate the Limit	limit as x approaches 0 of (2xcos(8x)+2sin(5x))/(tan(2x))	$lim_{x \to 0} \frac{2 x \cos (8 x) + 2 \sin (5 x)}{\tan (2 x)}$
22277	Solve for x	7/x=(2x)/8	$\frac{7}{x} = \frac{2 x}{8}$
22278	Solve for x	-f(x)=3x^2+2x-4	$- f (x) = 3 x^{2} + 2 x - 4$
22279	Solve the Function Operation	f(x)=(x-6)^2-1 if x!=4; -1 if x=4 Find f(4)	$f (x) = {\begin{cases} {(x - 6)}^{2} - 1 & x \neq 4 \\ - 1 & x = 4 \end{cases}$ Find $f (4)$
22280	Simplify	5/(4x)-x/5	$\frac{5}{4 x} - \frac{x}{5}$
22281	Graph	y=-4/3x-5 x=-3	$y = - \frac{4}{3} x - 5$ $x = - 3$
22282	Simplify	2(2x^2+2x-7)-7	$2 (2 x^{2} + 2 x - 7) - 7$
22283	Find the Antiderivative	1/(x^3)+2	$\frac{1}{x^{3}} + 2$
22284	Solve the System of Equations	5x-7y=16 and x+7y=8	$5 x - 7 y = 16$ and $x + 7 y = 8$
22285	Describe the Transformation	f(x) = square root of x , g(x)=2 square root of x-1	$f (x) = \sqrt{x}$ , $g (x) = 2 \sqrt{x - 1}$
22286	Simplify	((3b+1)^5)^5	${({(3 b + 1)}^{5})}^{5}$
22287	Simplify	(2xy)^3x^2	${(2 x y)}^{3} x^{2}$
22288	Solve by Addition/Elimination	5x-7y=16 and x+7y=8	$5 x - 7 y = 16$ and $x + 7 y = 8$
22289	Evaluate	13/5212/5126/50	$\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{26}{50}$
22290	Simplify	(t^(2/3))/(5t^(1/2)*t^(-3/4))	$\frac{t^{\frac{2}{3}}}{5 t^{\frac{1}{2}} \cdot t^{- \frac{3}{4}}}$
22291	Solve the Function Operation	f(x)=-3x-5 if x!=-1; -6 if x=-1 Find f(-1)	$f (x) = {\begin{cases} - 3 x - 5 & x \neq - 1 \\ - 6 & x = - 1 \end{cases}$ Find $f (- 1)$
22292	Find the Domain	(x^2-4)/(1-6x)	$\frac{x^{2} - 4}{1 - 6 x}$
22293	Solve for x	1+3/(x+9)=x/(x^2+15x+54)	$1 + \frac{3}{x + 9} = \frac{x}{x^{2} + 15 x + 54}$
22294	Solve for x	(2x-3)^(1/3)=(x+5)^(1/3)	${(2 x - 3)}^{\frac{1}{3}} = {(x + 5)}^{\frac{1}{3}}$
22295	Subtract	(1.5y^3+4.8y^2+12)-(y^3-1.7y^2+2y)	$(1.5 y^{3} + 4.8 y^{2} + 12) - (y^{3} - 1.7 y^{2} + 2 y)$
22296	Find the Derivative - d/dx	1/(2 cube root of x^5)	$\frac{1}{2 \sqrt[3]{x^{5}}}$
22297	Evaluate the Integral	integral of 3e^(3-7x) with respect to x	$\int 3 e^{3 - 7 x} d x$
22298	Evaluate	-2^-3*(-2)^0	$- 2^{- 3} \cdot {(- 2)}^{0}$
22299	Write in Exponential Form	1/(( fourth root of n)^7)	$\frac{1}{{(\sqrt[4]{n})}^{7}}$
22300	Graph	f(x)=x^2(x+2)(x-6)(x-3)	$f (x) = x^{2} (x + 2) (x - 6) (x - 3)$