Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18401	Find the LCM	5 and 20	$5$ and $20$
18402	Simplify	2x sixth root of x^8	$2 x \sqrt[6]{x^{8}}$
18403	Integrate Using u-Substitution	integral of 1/(2x) with respect to x	$\int \frac{1}{2 x} d x$
18404	Solve for x	cube root of 4x+5=1/2	$\sqrt[3]{4 x + 5} = \frac{1}{2}$
18405	Find the Domain and Range	f(x)=-1/4 square root of 8-4x+1	$f (x) = - \frac{1}{4} \sqrt{8 - 4 x} + 1$
18406	Factor	(x^3-x^2+3x-3)	$(x^{3} - x^{2} + 3 x - 3)$
18407	Solve the Inequality for x	(x^2(x+4))/((x+2)(x-1))>0	$\frac{x^{2} (x + 4)}{(x + 2) (x - 1)} > 0$
18408	Solve for m	-64=m^3	$- 64 = m^{3}$
18409	Solve for d	19-15d=-8(d-19)	$19 - 15 d = - 8 (d - 19)$
18410	Simplify	((2x^3)/(x^32x^22x^4))^4	${(\frac{2 x^{3}}{x^{3} \cdot 2 x^{2} \cdot 2 x^{4}})}^{4}$
18411	Solve the Rational Equation for x	2 square root of x+2- square root of x-3 = square root of x+9	$2 \sqrt{x + 2} - \sqrt{x - 3} = \sqrt{x + 9}$
18412	Simplify	(m^2)/(m^2-9)+(m-6)/(m^2-9)	$\frac{m^{2}}{m^{2} - 9} + \frac{m - 6}{m^{2} - 9}$
18413	Solve for y	2+y-8=19	$2 + y - 8 = 19$
18414	Solve for n	\|2n\|-4=8	$\| 2 n \| - 4 = 8$
18415	Find the Maximum/Minimum Value	f(x)=4-45x+3x^2+x^3	$f (x) = 4 - 45 x + 3 x^{2} + x^{3}$
18416	Evaluate	cos(-3pi)	$\cos (- 3 π)$
18417	Simplify	(3a)(5x^2+8a)	$(3 a) (5 x^{2} + 8 a)$
18418	Simplify	fifth root of -16*2^(1/5)	$\sqrt[5]{- 16} \cdot 2^{\frac{1}{5}}$
18419	Multiply	x^2(8x^2-x)	$x^{2} (8 x^{2} - x)$
18420	Factor	xy^2-x-2xy	$x y^{2} - x - 2 x y$
18421	Find the Domain and Range	f(x)=- square root of x^3+8	$f (x) = - \sqrt{x^{3} + 8}$
18422	Simplify	(-6c^2d)(-4c^3d^4e)	$(- 6 c^{2} d) (- 4 c^{3} d^{4} e)$
18423	Solve for w	31/4=1/2+w	$\frac{31}{4} = \frac{1}{2} + w$
18424	Find the Other Trig Values in Quadrant II	cos(theta)=0	$\cos (θ) = 0$
18425	Find the Inverse	y=1/2(x-1)^3	$y = \frac{1}{2} {(x - 1)}^{3}$
18426	Convert to a Decimal	cos(165)deg	$\cos (165)$ degrees
18427	Solve the Function Operation	If f(x)=2x and g(x)=2x^2-1 find f(g(3))	If $f (x) = 2 x$ and $g (x) = 2 x^{2} - 1$ find $f (g (3))$
18428	Find the y-intercept	f(x)=-2x-1	$f (x) = - 2 x - 1$
18429	Solve the Rational Equation for k	square root of 3k-29 = square root of 41-2k	$\sqrt{3 k - 29} = \sqrt{41 - 2 k}$
18430	Evaluate the Integral	integral of 2x^2(x-2)(4x-5) with respect to x	$\int 2 x^{2} (x - 2) (4 x - 5) d x$
18431	Solve for x	square root of x=1/3x	$\sqrt{x} = \frac{1}{3} x$
18432	Solve the Rational Equation for x	cube root of x+40=-5	$\sqrt[3]{x + 40} = - 5$
18433	Write in Standard Form	(9x^2-5x)-(-3x-8)	$(9 x^{2} - 5 x) - (- 3 x - 8)$
18434	Find the Derivative - d/dx	-1/x+1	$- \frac{1}{x} + 1$
18435	Solve for x	x-4-4x=6x+9-8x	$x - 4 - 4 x = 6 x + 9 - 8 x$
18436	Solve the Inequality for y	12-3y<27	$12 - 3 y < 27$
18437	Solve for x	6/7+(3x+3)/x=-6/(7x)	$\frac{6}{7} + \frac{3 x + 3}{x} = \frac{- 6}{7 x}$
18438	Find the Antiderivative	natural log of x+2	$\ln (x + 2)$
18439	Solve the System of Inequalities	-8x+3>=27 ; AND , -13x+5>=57	$- 8 x + 3 \geq 27$ ; AND , $- 13 x + 5 \geq 57$
18440	Simplify	(x/(x+3)+2/(x+3))/(x+3-1/(x+3))	$\frac{\frac{x}{x + 3} + \frac{2}{x + 3}}{x + 3 - \frac{1}{x + 3}}$
18441	Find the Derivative - d/dx	(1- square root of x)(1- cube root of x)	$(1 - \sqrt{x}) (1 - \sqrt[3]{x})$
18442	Divide Using Long Polynomial Division	(x^4+6x-2.5)÷(x^2+3x+0.5)	$(x^{4} + 6 x - 2.5) \div (x^{2} + 3 x + 0.5)$
18443	Evaluate the Function	g(2/3)=x/( square root of 9-x^2)	$g (\frac{2}{3}) = \frac{x}{\sqrt{9 - x^{2}}}$
18444	Evaluate	( cube root of 1000)^3+6	${(\sqrt[3]{1000})}^{3} + 6$
18445	Solve for x	(2x-1)/(x+2)-(x+1)/(x-1)-2=0	$\frac{2 x - 1}{x + 2} - \frac{x + 1}{x - 1} - 2 = 0$
18446	Solve the Inequality for q	55-5q>4(7-q)	$55 - 5 q > 4 (7 - q)$
18447	Find the Exact Value	sec(600 degrees )	$\sec (600 °)$
18448	Evaluate	(2x^2y^44x^2y^43x)/(3x^-3y^2)	$\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{- 3} y^{2}}$
18449	Evaluate	square root of 6x-4=3	$\sqrt{6 x - 4} = 3$
18450	Solve for k	3(k-5)=-16	$3 (k - 5) = - 16$
18451	Simplify	(6y(y+3(y-5)))/(y(y-5)(y-1))	$\frac{6 y (y + 3 (y - 5))}{y (y - 5) (y - 1)}$
18452	Simplify	-2i^19-10i^116-10i^17+i^85	$- 2 i^{19} - 10 i^{116} - 10 i^{17} + i^{85}$
18453	Find the First Term	a_n=112(1/4)^(n-1)	$a_{n} = 112 {(\frac{1}{4})}^{n - 1}$
18454	Simplify	2p-(4p^2+1)/(2p)	$2 p - \frac{4 p^{2} + 1}{2 p}$
18455	Graph	y>-x+2 y>=1/3x-2	$y > - x + 2$ $y \geq \frac{1}{3} x - 2$
18456	Write in Standard Form	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
18457	Solve for x	x/3-(3x)/4=1/12	$\frac{x}{3} - \frac{3 x}{4} = \frac{1}{12}$
18458	Solve for x	2*4^(x+1)=1/32	$2 \cdot 4^{x + 1} = \frac{1}{32}$
18459	Find the Maximum/Minimum Value	f(x)=2 square root of x+1-2	$f (x) = 2 \sqrt{x + 1} - 2$
18460	Write with Rational (Fractional) Exponents	(n^4)^(3/2)	${(n^{4})}^{\frac{3}{2}}$
18461	Solve the Function Operation	f(x) = fourth root of x-2 ; find f^-1(x)	$f (x) = \sqrt[4]{x - 2}$ ; find $f^{- 1} (x)$
18462	Simplify	(x-1)/(x+1)-(2x+3)/(2x+1)	$\frac{x - 1}{x + 1} - \frac{2 x + 3}{2 x + 1}$
18463	Simplify	(3a)(3a)(3a)(3a)	$(3 a) (3 a) (3 a) (3 a)$
18464	Solve for x	2y=x+6	$2 y = x + 6$
18465	Simplify	(6e^(4x))/(8e)	$\frac{6 e^{4 x}}{8 e}$
18466	Solve for d	749/d*d/749=1	$\frac{749}{d} \cdot \frac{d}{749} = 1$
18467	Simplify	(3e^4)^3	${(3 e^{4})}^{3}$
18468	Simplify	x/( square root of x- square root of y)	$\frac{x}{\sqrt{x} - \sqrt{y}}$
18469	Evaluate	(8-3)^2-25÷5+(5-3)	${(8 - 3)}^{2} - 25 \div 5 + (5 - 3)$
18470	Find the Inverse	y = cube root of x-2-4	$y = \sqrt[3]{x - 2} - 4$
18471	Convert to Radical Form	8(m^(6/5))	$8 (m^{\frac{6}{5}})$
18472	Write the Fraction in Simplest Form	(-5(t^5)^2)/(-5t^-9)	$\frac{- 5 {(t^{5})}^{2}}{- 5 t^{- 9}}$
18473	Evaluate the Integral	integral of x^2(2x-1)(x-6) with respect to x	$\int x^{2} (2 x - 1) (x - 6) d x$
18474	Solve for x	-1+5/4=(2x+3)/(4x)	$- 1 + \frac{5}{4} = \frac{2 x + 3}{4 x}$
18475	Solve for x	3/(x+2)+(2x)/(x-2)=x/(x-2)	$\frac{3}{x + 2} + \frac{2 x}{x - 2} = \frac{x}{x - 2}$
18476	Find dy/dx	-x^3+4y^2=2y^3	$- x^{3} + 4 y^{2} = 2 y^{3}$
18477	Find Amplitude, Period, and Phase Shift	y=1+3sin(2(x+pi/2))	$y = 1 + 3 \sin (2 (x + \frac{π}{2}))$
18478	Factor	sin(x)^2-1	$\sin^{2} (x) - 1$
18479	Find the Domain and Range	f(x)=1/(X^2-2X-3)	$f (x) = \frac{1}{X^{2} - 2 X - 3}$
18480	Find the Roots (Zeros)	F(x)=x^3+2x^2+1	$F (x) = x^{3} + 2 x^{2} + 1$
18481	Solve for q	4 square root of 3q+15=12 square root of q	$4 \sqrt{3 q + 15} = 12 \sqrt{q}$
18482	Solve for x	(x+2)^3+2=3	${(x + 2)}^{3} + 2 = 3$
18483	Find the LCD	x/(x-1) , (x+4)/(x+2)	$\frac{x}{x - 1}$ , $\frac{x + 4}{x + 2}$
18484	Multiply	-4/7(-1/8)	$- \frac{4}{7} (- \frac{1}{8})$
18485	Simplify	((x^3y)/(z^4))^6	${(\frac{x^{3} y}{z^{4}})}^{6}$
18486	Add	3/4+4 1/2	$\frac{3}{4} + 4 \frac{1}{2}$
18487	Evaluate the Limit	limit as x approaches 0 of (5x^3+8x^3)/(3x^4-16x^2)	$lim_{x \to 0} \frac{5 x^{3} + 8 x^{3}}{3 x^{4} - 16 x^{2}}$
18488	Write as a Single Logarithm	log base 2 of 3/25+5 log base 2 of 5+ log base 2 of 27- log base 2 of 125/12- log base 2 of 243	$\log_{2} (\frac{3}{25}) + 5 \log_{2} (5) + \log_{2} (27) - \log_{2} (\frac{125}{12}) - \log_{2} (243)$
18489	Solve for k	8(12-k)=3(k+21)	$8 (12 - k) = 3 (k + 21)$
18490	Solve the Inequality for x	-2x^2+14x>=2x-80	$- 2 x^{2} + 14 x \geq 2 x - 80$
18491	Write in Exponential Form	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
18492	Solve for m	4m^2+8m-4=1	$4 m^{2} + 8 m - 4 = 1$
18493	Write in Standard Form	(3x^2+4)-(-5x^2+4x-1)	$(3 x^{2} + 4) - (- 5 x^{2} + 4 x - 1)$
18494	Subtract	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
18495	Find dy/dx	y^2+x^2=-xy+3	$y^{2} + x^{2} = - x y + 3$
18496	Evaluate the Integral	integral from 0 to 3 of 6/(9+x^2) with respect to x	$\int_{0}^{3} \frac{6}{9 + x^{2}} d x$
18497	Solve for x	-(6+2x)=4x-2(x+1)	$- (6 + 2 x) = 4 x - 2 (x + 1)$
18498	Find the GCF	13 and 26	$13$ and $26$
18499	Solve the Rational Equation for x	square root of 3x = square root of x+6	$\sqrt{3 x} = \sqrt{x + 6}$
18500	Evaluate	1/(8-1/3)	$\frac{1}{8 - \frac{1}{3}}$