Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43101	Graph	f(x)=(x^2-5x-14)/(q(x))	$f (x) = \frac{x^{2} - 5 x - 14}{q (x)}$
43102	Simplify	cube root of 5(2 square root of 3)	$\sqrt[3]{5} (2 \sqrt{3})$
43103	Solve for y	z/y=y/x	$\frac{z}{y} = \frac{y}{x}$
43104	Find the Tangent Line at (6,1/2)	f(x)=3/x at (6,1/2)	$f (x) = \frac{3}{x}$ at $(6, \frac{1}{2})$
43105	Convert to Interval Notation	x<4 and x>-1	$x < 4$ and $x > - 1$
43106	Evaluate the Limit	limit as x approaches infinity of (5x^3-2x^2-1)/(x^3-x+1)	$lim_{x \to \infty} \frac{5 x^{3} - 2 x^{2} - 1}{x^{3} - x + 1}$
43107	Solve for t	A(t)=2400(1/2)^(t/14)	$A (t) = 2400 {(\frac{1}{2})}^{\frac{t}{14}}$
43108	Find the Domain	(2x-1)^(8/3)	${(2 x - 1)}^{\frac{8}{3}}$
43109	Solve for x	2 square root of x+3<=8	$2 \sqrt{x + 3} \leq 8$
43110	Solve for x	f(-x)=3x^2+2x-3	$f (- x) = 3 x^{2} + 2 x - 3$
43111	Find the Concavity	3/20x^5-2x^4+8x^3	$\frac{3}{20} x^{5} - 2 x^{4} + 8 x^{3}$
43112	Evaluate	(-1 2/5)(-2 3/4)	$(- 1 \frac{2}{5}) (- 2 \frac{3}{4})$
43113	Write in Standard Form	(6k^4)(-k^2)	$(6 k^{4}) (- k^{2})$
43114	Solve for x	2^x=2 square root of 2	$2^{x} = 2 \sqrt{2}$
43115	Find Where Increasing/Decreasing	x^4-12x^3+36x^2	$x^{4} - 12 x^{3} + 36 x^{2}$
43116	Simplify	(x^2-4x-21)-(x+3)	$(x^{2} - 4 x - 21) - (x + 3)$
43117	Solve for x	x+2x+4x+6x+7x+10x=360	$x + 2 x + 4 x + 6 x + 7 x + 10 x = 360$
43118	Solve for y	C=7(y+k)	$C = 7 (y + k)$
43119	Combine Like Terms	(2x+5y-z)+(-6x-4y+7z)	$(2 x + 5 y - z) + (- 6 x - 4 y + 7 z)$
43120	Evaluate	18(1/9)^2-111/9	$18 \cdot {(\frac{1}{9})}^{2} - 11 \cdot \frac{1}{9}$
43121	Graph	x-2y=-4 y=-1/2x+6	$x - 2 y = - 4$ $y = - \frac{1}{2} x + 6$
43122	Solve for r	6r-4+94=180	$6 r - 4 + 94 = 180$
43123	Simplify	((2x-2)/(x+5))÷((x^2-4x+3)/(2x^2+13x+15))	$\frac{2 x - 2}{x + 5} \div \frac{x^{2} - 4 x + 3}{2 x^{2} + 13 x + 15}$
43124	Find the x and y Intercepts	y=1/2x^3+x^2-3x+1	$y = \frac{1}{2} x^{3} + x^{2} - 3 x + 1$
43125	Find the Maximum/Minimum Value	x^2 natural log of x	$x^{2} \ln (x)$
43126	Evaluate	cos(theta)=5/8	$\cos (θ) = \frac{5}{8}$
43127	Find g(f(x))	f(x)=3x+2 , g(x)=2x^2-1	$f (x) = 3 x + 2$ , $g (x) = 2 x^{2} - 1$
43128	Find the Inverse	f^-1(x)=(2x+6)/(x+4)	$f^{- 1} (x) = \frac{2 x + 6}{x + 4}$
43129	Solve for x	6^x=3^(2x)-2^(2x)	$6^{x} = 3^{2 x} - 2^{2 x}$
43130	Find the Exact Value	pi*6^2	$π \cdot 6^{2}$
43131	Simplify	4(5)^4+24(5)^(1/3)	$4 {(5)}^{4} + 24 {(5)}^{\frac{1}{3}}$
43132	Solve for y	(2y-3)(y-2)=-12y+18	$(2 y - 3) (y - 2) = - 12 y + 18$
43133	Evaluate the Integral	integral of (3x^3)/(x^4) with respect to x	$\int \frac{3 x^{3}}{x^{4}} d x$
43134	Simplify	(3x^2-7xy+4)-(x^2-2xy+2)	$(3 x^{2} - 7 x y + 4) - (x^{2} - 2 x y + 2)$
43135	Simplify	(4^8)/(5^3)	$\frac{4^{8}}{5^{3}}$
43136	Subtract	(5x^2-9)+(-10x+7)	$(5 x^{2} - 9) + (- 10 x + 7)$
43137	Graph	0=(2pi)/3	$0 = \frac{2 π}{3}$
43138	Evaluate	(3.5*2/7-2/3)/16	$\frac{(3.5 \cdot \frac{2}{7} - \frac{2}{3})}{16}$
43139	Evaluate	(e^0.1-1)/0.1	$\frac{e^{0.1} - 1}{0.1}$
43140	Graph	graph the line x=6	graph the line $x = 6$
43141	Integrate Using u-Substitution	integral from -1 to 1 of x(x^2+1)^3 with respect to x	$\int_{- 1}^{1} x {(x^{2} + 1)}^{3} d x$
43142	Integrate By Parts	integral of xsin(6x) with respect to x	$\int x \sin (6 x) d x$
43143	Solve for x	(3x+2)^4=232	${(3 x + 2)}^{4} = 232$
43144	Solve the System of Equations	5x-y/2=-1 3x-2y=1	$5 x - \frac{y}{2} = - 1$ $3 x - 2 y = 1$
43145	Evaluate	csc(-(9pi)/2)+cot(-(7pi)/4)	$\csc (- \frac{9 π}{2}) + \cot (- \frac{7 π}{4})$
43146	Write in Standard Form	(2i)^4	${(2 i)}^{4}$
43147	Evaluate	2sin((5pi)/4)	$2 \sin (\frac{5 π}{4})$
43148	Solve for θ	cos(theta)>0	$\cos (θ) > 0$
43149	Find the Derivative - d/dx	y=cos(x-1)	$y = \cos (x - 1)$
43150	Factor	24ab-8a^2b+32a	$24 a b - 8 a^{2} b + 32 a$
43151	Solve for x	6x+10+2x+5+3x-11=180	$6 x + 10 + 2 x + 5 + 3 x - 11 = 180$
43152	Solve for x	Solve square root of 2x+21 = square root of 2x+3	Solve $\sqrt{2 x + 21} = \sqrt{2 x} + 3$
43153	Describe the Transformation	f(x)=(1/3x)^3-3	$f (x) = {(\frac{1}{3} x)}^{3} - 3$
43154	Evaluate	((2^-4)/(2^-2))^-1	${(\frac{2^{- 4}}{2^{- 2}})}^{- 1}$
43155	Add	(-7x^2+3)-(-4x-3)	$(- 7 x^{2} + 3) - (- 4 x - 3)$
43156	Evaluate	3cos(pi/3)	$3 \cos (\frac{π}{3})$
43157	Solve the Inequality for x	-1<=3-2x<5	$- 1 \leq 3 - 2 x < 5$
43158	Simplify	((x^0y^-3z^2)/(2x^3y^2z^-4))^3	${(\frac{x^{0} y^{- 3} z^{2}}{2 x^{3} y^{2} z^{- 4}})}^{3}$
43159	Solve for x	3tan(x)^2=tan(x)	$3 \tan^{2} (x) = \tan (x)$
43160	Expand the Logarithmic Expression	log of (c^7)/( cube root of a^7b^5)	$\log (\frac{c^{7}}{\sqrt[3]{a^{7} b^{5}}})$
43161	Solve the Inequality for x	5\|x+9\|<=10	$5 \| x + 9 \| \leq 10$
43162	Find the x and y Intercepts	s(x)=-5*2^(3x+1)	$s (x) = - 5 \cdot 2^{3 x + 1}$
43163	Complete the Square	1/4x^2+x+1	$\frac{1}{4} x^{2} + x + 1$
43164	Evaluate the Limit	limit as x approaches c of square root of 12*3/4	$lim_{x \to c} \sqrt{12 \cdot \frac{3}{4}}$
43165	Verify the Identity	tan(x)=(sec(x))/(csc(x))	$\tan (x) = \frac{\sec (x)}{\csc (x)}$
43166	Solve for x	6(x-4)+x=5(x-2)	$6 (x - 4) + x = 5 (x - 2)$
43167	Simplify	4w^8x^5y^-4z^-2	$4 w^{8} x^{5} y^{- 4} z^{- 2}$
43168	Simplify the Radical Expression	square root of 3( square root of 5- square root of 3)	$\sqrt{3} (\sqrt{5} - \sqrt{3})$
43169	Evaluate	(4+2n^3)+(5n^3+2)	$(4 + 2 n^{3}) + (5 n^{3} + 2)$
43170	Write in Standard Form	8=y^2-12	$8 = y^{2} - 12$
43171	Find All Complex Solutions	theta=(1pi)/4	$θ = \frac{1 π}{4}$
43172	Write in Standard Form	27x^3+27/2x^2+9/4x+1/8	$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$
43173	Rationalize the Denominator	-1/( square root of 2)	$\frac{- 1}{\sqrt{2}}$
43174	Solve for θ in Degrees	2cos(theta)-3=5cos(theta)-5	$2 \cos (θ) - 3 = 5 \cos (θ) - 5$
43175	Simplify	((x^3)/(y^8))^4((2x^3y)/(x^2y^5))	${(\frac{x^{3}}{y^{8}})}^{4} (\frac{2 x^{3} y}{x^{2} y^{5}})$
43176	Find the Roots (Zeros)	2x^4+x^3-x^2-x-1	$2 x^{4} + x^{3} - x^{2} - x - 1$
43177	Solve for x	0=(3(2x-1))/(2x-3)	$0 = \frac{3 (2 x - 1)}{2 x - 3}$
43178	Solve for x	(10x+3)=(3x-4)	$(10 x + 3) = (3 x - 4)$
43179	Simplify	10(10x^-1)^-1	$10 {(10 x^{- 1})}^{- 1}$
43180	Find All Complex Solutions	2/(x+2)+1/10=3/(x+3)	$\frac{2}{x + 2} + \frac{1}{10} = \frac{3}{x + 3}$
43181	Find the Holes in the Graph	(x+3)/(-3x^2-9x)	$\frac{x + 3}{- 3 x^{2} - 9 x}$
43182	Simplify	((d^2)/(e^(2/3)))^(2/5)	${(\frac{d^{2}}{e^{\frac{2}{3}}})}^{\frac{2}{5}}$
43183	Solve for b	log base 4 of 64=2b-1	$\log_{4} (64) = 2 b - 1$
43184	Graph	y>-2x+1y	$y > - 2 x + 1 y$
43185	Simplify	x-2/3	$x \frac{- 2}{3}$
43186	Solve for x	log base 2 of x^2-7- log base 2 of x+5=0	$\log_{2} (x^{2} - 7) - \log_{2} (x + 5) = 0$
43187	Evaluate the Limit	limit as x approaches 0 of (3\|x\|)/(x^2)	$lim_{x \to 0} \frac{3 \| x \|}{x^{2}}$
43188	Find the LCM	7 and 3	$7$ and $3$
43189	Solve for x	3-x>=0	$3 - x \geq 0$
43190	Evaluate the Integral	integral from -8 to 4 of 14/((9-2x)^(3/2)) with respect to x	$\int_{- 8}^{4} \frac{14}{{(9 - 2 x)}^{\frac{3}{2}}} d x$
43191	Calculate the Square Root	square root of 25-9	$\sqrt{25 - 9}$
43192	Identify the Zeros and Their Multiplicities	f(x)=5(x^2+4)^2(x-3)^3	$f (x) = 5 {(x^{2} + 4)}^{2} {(x - 3)}^{3}$
43193	Simplify	cube root of -3*(1/375)^(1/3)	$\sqrt[3]{- 3} \cdot {(\frac{1}{375})}^{\frac{1}{3}}$
43194	Evaluate	y=(1/5)^0	$y = {(\frac{1}{5})}^{0}$
43195	Solve using Gaussian Elimination	x+2y+z=10 3x+7y+6z=36	$x + 2 y + z = 10$ $3 x + 7 y + 6 z = 36$
43196	Factor	3ac-5bd+bc-15ad	$3 a c - 5 b d + b c - 15 a d$
43197	Find the Exact Value	77777*7	$7 \cdot 7 \cdot 7 \cdot 7 \cdot 7 \cdot 7$
43198	Evaluate	(( square root of 6)/2)^2	${(\frac{\sqrt{6}}{2})}^{2}$
43199	Solve for x	log base 4 of 9x = log base 4 of x^2-36	$\log_{4} (9 x) = \log_{4} (x^{2} - 36)$
43200	Evaluate the Integral	integral of (x-3)(4x-1) with respect to x	$\int (x - 3) (4 x - 1) d x$