Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33101	Graph	y<=3x-1 y<=x+3	$y \leq 3 x - 1$ $y \leq x + 3$
33102	Simplify	tan(180 degrees )	$\tan (180 °)$
33103	Simplify the Matrix	(m^7n^3)/(mn^-1) , m!=0 , n!=0	$\frac{m^{7} n^{3}}{m n^{- 1}}$ , $m \neq 0$ , $n \neq 0$
33104	Find dy/dx	y = cube root of -4x+5	$y = \sqrt[3]{- 4 x + 5}$
33105	Solve for x	2 cube root of x+16=0	$2 \sqrt[3]{x} + 16 = 0$
33106	Factor	((x+1)^(2n)+4(x+1)^(2n+1)+6(x+1)^6-11)/(x(x+2))	$\frac{{(x + 1)}^{2 n} + 4 {(x + 1)}^{2 n + 1} + 6 {(x + 1)}^{6} - 11}{x (x + 2)}$
33107	Solve the System of Equations	y-2x=0 y+x=3	$y - 2 x = 0$ $y + x = 3$
33108	Simplify the Radical Expression	5^(1/2)*5^(1/2)	$5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}}$
33109	Solve the System of Inequalities	x<2 and x>-1	$x < 2$ and $x > - 1$
33110	Simplify	( cube root of 16- cube root of 54)/( cube root of 2)	$\frac{\sqrt[3]{16} - \sqrt[3]{54}}{\sqrt[3]{2}}$
33111	Solve the System of Equations	y=2 y=5/2x-3	$y = 2$ $y = \frac{5}{2} x - 3$
33112	Solve for x	natural log of x<=9	$\ln (x) \leq 9$
33113	Simplify	( fifth root of c^7)/( cube root of c^2)	$\frac{\sqrt[5]{c^{7}}}{\sqrt[3]{c^{2}}}$
33114	Simplify	(i square root of 2-5)/(i+ square root of 2)	$\frac{(i \sqrt{2} - 5)}{i + \sqrt{2}}$
33115	Solve for x	2 square root of 5 = square root of x	$2 \sqrt{5} = \sqrt{x}$
33116	Solve for x	16^x*64^(3-3x)=64	$16^{x} \cdot 64^{3 - 3 x} = 64$
33117	Solve the System of Equations	Solve the system of equations 3x+3y=9 and 5x-3y=7 using the Addition Method.	Solve the system of equations $3 x + 3 y = 9$ and $5 x - 3 y = 7$ using the Addition Method.
33118	Simplify	-8+b^2 by 5+b^2	$- 8 + b^{2}$ by $5 + b^{2}$
33119	Solve for s	square root of 2s+10=4	$\sqrt{2 s + 10} = 4$
33120	Simplify	square root of -81+3i	$\sqrt{- 81} + 3 i$
33121	Write in Standard Form	P(x)=x^3(-3x+x^2+7)	$P (x) = x^{3} (- 3 x + x^{2} + 7)$
33122	Graph	cos(theta)>0 and csc(theta)<0	$\cos (θ) > 0$ and $\csc (θ) < 0$
33123	Find the Exact Value	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
33124	Solve for x	3x-9=(-18)	$3 x - 9 = (- 18)$
33125	Solve for x	1/( log base 2 of x)+1/( log base 3 of x)=2	$\frac{1}{\log_{2} (x)} + \frac{1}{\log_{3} (x)} = 2$
33126	Rationalize the Denominator	( square root of 7- square root of 2)/( square root of 2)	$\frac{\sqrt{7} - \sqrt{2}}{\sqrt{2}}$
33127	Divide	( square root of 4)/(4 square root of 5)	$\frac{\sqrt{4}}{4 \sqrt{5}}$
33128	Find the Distance Between Two Points	(c,0) and (d,0)	$(c, 0)$ and $(d, 0)$
33129	Solve for x	((x+5)(x+1))/(x-4)>=0	$\frac{(x + 5) (x + 1)}{x - 4} \geq 0$
33130	Solve for y	\|5y+3\|=\|5y+7\|	$\| 5 y + 3 \| = \| 5 y + 7 \|$
33131	Solve the Function Operation	Given that f(x)=x^2-12x+27 and g(x)=x-9 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 12 x + 27$ and $g (x) = x - 9$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
33132	Evaluate the Function	f(5/x)=(6(5/x)+2)/(4(5/x)+3)	$f (\frac{5}{x}) = \frac{6 (\frac{5}{x}) + 2}{4 (\frac{5}{x}) + 3}$
33133	Simplify	(2/y)^4(4/y)^2	${(\frac{2}{y})}^{4} {(\frac{4}{y})}^{2}$
33134	Simplify	(9 square root of 3)÷( square root of 18)	$9 \sqrt{3} \div \sqrt{18}$
33135	Find the Slope	(-1,-7) and (-2,-5)	$(- 1, - 7)$ and $(- 2, - 5)$
33136	Evaluate the Limit	limit as x approaches 2 of natural log of x-1	$lim_{x \to 2} \ln (x - 1)$
33137	Find the Third Derivative	f(x)=1/24x^6+1/15x^-4-1/5x^5+2x^-1	$f (x) = \frac{1}{24} x^{6} + \frac{1}{15} x^{- 4} - \frac{1}{5} x^{5} + 2 x^{- 1}$
33138	Simplify	(4-8x^2+3x^4)+(2x+6x^4-7)	$(4 - 8 x^{2} + 3 x^{4}) + (2 x + 6 x^{4} - 7)$
33139	Evaluate the Limit	limit as h approaches 0 of (\|x+h\|-\|x\|)/h	$lim_{h \to 0} \frac{\| x + h \| - \| x \|}{h}$
33140	Find the Derivative - d/dx	1/(1-sin(x))	$\frac{1}{1 - \sin (x)}$
33141	Solve the System of Inequalities	(m-8)/2<2 OR (3m+1)/2>-1	$\frac{m - 8}{2} < 2$ OR $\frac{3 m + 1}{2} > - 1$
33142	Solve for x	log of x- log of 5 = log of 2- log of x-3	$\log (x) - \log (5) = \log (2) - \log (x - 3)$
33143	Solve the Function Operation	f(x)=x^3 , (f(a+h)-f(a))/h	$f (x) = x^{3}$ , $\frac{f (a + h) - f (a)}{h}$
33144	Solve by Factoring	11x^2=x^2+8x	$11 x^{2} = x^{2} + 8 x$
33145	Evaluate the Integral	integral of (12x^(3/4)-9x^(5/3)) with respect to x	$\int (12 x^{\frac{3}{4}} - 9 x^{\frac{5}{3}}) d x$
33146	Solve for r	-1.3>=2.9-0.6r	$- 1.3 \geq 2.9 - 0.6 r$
33147	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,0) and has a slope of -1 ?	What is the equation of the line that passes through the point $(5, 0)$ and has a slope of $- 1$ ?
33148	Evaluate the Integral	integral of (3sin(2x))/(4sin(x)^2-4) with respect to x	$\int \frac{3 \sin (2 x)}{4 \sin^{2} (x) - 4} d x$
33149	Solve for n	m=n-8	$m = n - 8$
33150	Write as a Single Logarithm	1/3( log base 5 of 8+ log base 5 of 27)- log base 5 of 3	$\frac{1}{3} (\log_{5} (8) + \log_{5} (27)) - \log_{5} (3)$
33151	Graph	x<3 and x>-4	$x < 3$ and $x > - 4$
33152	Solve for b	a^2+b^2=c^2 ; for b	$a^{2} + b^{2} = c^{2}$ ; for $b$
33153	Evaluate the Integral	integral from 0 to 4 of (2 square root of y-y) with respect to y	$\int_{0}^{4} (2 \sqrt{y} - y) d y$
33154	Evaluate the Limit	limit as x approaches infinity of 5+3x^2+x	$lim_{x \to \infty} 5 + 3 x^{2} + x$
33155	Find the Roots (Zeros)	P(c)=-20(c-3)^2+180	$P (c) = - 20 {(c - 3)}^{2} + 180$
33156	Solve the System of Equations	a-2b+c=8 2a+b-c=0 3a-6b+3c=24	$a - 2 b + c = 8$ $2 a + b - c = 0$ $3 a - 6 b + 3 c = 24$
33157	Simplify	2x^2 square root of 5/(x^3)	$2 x^{2} \sqrt{\frac{5}{x^{3}}}$
33158	Find the Area Under the Curve	f(x)=2x+3 , [2,8] , n=3	$f (x) = 2 x + 3$ , $[2, 8]$ , $n = 3$
33159	Simplify	(a^4b^2c)/(a^3b^5c^2)	$\frac{a^{4} b^{2} c}{a^{3} b^{5} c^{2}}$
33160	Add	7/6+1/(6x)	$\frac{7}{6} + \frac{1}{6 x}$
33161	Solve Using the Quadratic Formula	x^2+19x+c=0	$x^{2} + 19 x + c = 0$
33162	Evaluate the Integral	integral of 7x3/4 with respect to x	$\int 7 x \frac{3}{4} d x$
33163	Simplify	x(-7x^2-8x)	$x (- 7 x^{2} - 8 x)$
33164	Find All Complex Solutions	x^3+5x^2-x-7=x^2+6x+3	$x^{3} + 5 x^{2} - x - 7 = x^{2} + 6 x + 3$
33165	Simplify	6/5*(2x)/(x-3)	$\frac{6}{5} \cdot \frac{2 x}{x - 3}$
33166	Evaluate	(1)^4+8(1)^3+18(1)^2+4	${(1)}^{4} + 8 {(1)}^{3} + 18 {(1)}^{2} + 4$
33167	Find the Domain	F(x) = square root of x^2+2	$F (x) = \sqrt{x^{2} + 2}$
33168	Solve for x	8^(2-x)=(1/4)^x	$8^{2 - x} = {(\frac{1}{4})}^{x}$
33169	Simplify	(3 square root of 2p^3q)(5p square root of 8pq)	$(3 \sqrt{2 p^{3} q}) (5 p \sqrt{8 p q})$
33170	Simplify the Radical Expression	(8 square root of -84)(5 square root of -7)	$(8 \sqrt{- 84}) (5 \sqrt{- 7})$
33171	Evaluate	65% of 40	$65 %$ of $40$
33172	Solve for a	2(a-2)=2a-4	$2 (a - 2) = 2 a - 4$
33173	Factor	1/(8x^6)-(y^3)/216	$\frac{1}{8 x^{6}} - \frac{y^{3}}{216}$
33174	Find the Exact Value	tan(-480 degrees )	$\tan (- 480 °)$
33175	Find the x and y Intercepts	x^2-8x+y^2+6y=-9	$x^{2} - 8 x + y^{2} + 6 y = - 9$
33176	Graph	- cube root of x+2	$- \sqrt[3]{x} + 2$
33177	Graph	x=1/2y^2-3	$x = \frac{1}{2} y^{2} - 3$
33178	Verify	sec(x)-tan(x)sin(x)=1/(sec(x))	$\sec (x) - \tan (x) \sin (x) = \frac{1}{\sec (x)}$
33179	Simplify	(b^2+5b-24)/(b^2-6b+9)*b/(b^2-64)	$\frac{b^{2} + 5 b - 24}{b^{2} - 6 b + 9} \cdot \frac{b}{b^{2} - 64}$
33180	Divide	(9x^2-18x)÷3x	$(9 x^{2} - 18 x) \div 3 x$
33181	Solve for x	2/(2x+3)=1/8	$\frac{2}{2 x + 3} = \frac{1}{8}$
33182	Convert to Interval Notation	9y-2<13 and 3y-2>-29	$9 y - 2 < 13$ and $3 y - 2 > - 29$
33183	Solve for n	-2(n-12)+1=-2n+25	$- 2 (n - 12) + 1 = - 2 n + 25$
33184	Solve the System of Inequalities	9y-2<13 and 3y-2>-29	$9 y - 2 < 13$ and $3 y - 2 > - 29$
33185	Simplify	(5f+g-2)+(-2f+3)	$(5 f + g - 2) + (- 2 f + 3)$
33186	Factor	27x^4+54x^3-64x-128	$27 x^{4} + 54 x^{3} - 64 x - 128$
33187	Solve by Addition/Elimination	8x-5y=11 and 4x-3y=5	$8 x - 5 y = 11$ and $4 x - 3 y = 5$
33188	Solve for c	1/2(c+6)=7	$\frac{1}{2} (c + 6) = 7$
33189	Graph	f(x)=6^xg(x)=6^(-x)	$f (x) = 6^{x} g (x) = 6^{- x}$
33190	Graph	f(x)=-3/2 square root of x-3+6	$f (x) = - \frac{3}{2} \sqrt{x - 3} + 6$
33191	Simplify	1/((2y^2z)^-3)	$\frac{1}{{(2 y^{2} z)}^{- 3}}$
33192	Solve for x	8 3/5=3/4x-5 1/2	$8 \frac{3}{5} = \frac{3}{4} x - 5 \frac{1}{2}$
33193	Simplify	(2+3x)+(-4+x)	$(2 + 3 x) + (- 4 + x)$
33194	Evaluate	1/(2+ square root of 3)+1/(2- square root of 3)	$\frac{1}{2 + \sqrt{3}} + \frac{1}{2 - \sqrt{3}}$
33195	Simplify the Radical Expression	square root of 3(2- square root of 24)	$\sqrt{3} (2 - \sqrt{24})$
33196	Graph	find f(-3)	find $f (- 3)$
33197	Solve for f	7f-3<=4f+6	$7 f - 3 \leq 4 f + 6$
33198	Find the Derivative - d/dx	1+sin(2x)	$1 + \sin (2 x)$
33199	Solve for a	square root of 2a-3<5	$\sqrt{2 a - 3} < 5$
33200	Evaluate	(x^-6)/(x^-2y^-2y^-5)	$\frac{x^{- 6}}{x^{- 2} y^{- 2} y^{- 5}}$