Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30101	Solve the Rational Equation for x	(6x)/(x+4)+4=(2x+2)/(x-1)	$\frac{6 x}{x + 4} + 4 = \frac{2 x + 2}{x - 1}$
30102	Solve Using the Square Root Property	-1/2x^2+1=-39	$- \frac{1}{2} x^{2} + 1 = - 39$
30103	Divide Using Long Polynomial Division	(3x^3-4x^2+2x+4)÷(x^2-2x+2)	$(3 x^{3} - 4 x^{2} + 2 x + 4) \div (x^{2} - 2 x + 2)$
30104	Evaluate	tan(arcsin(1))	$\tan (\arcsin (1))$
30105	Factor	(w-3)^5-(w-3)^2	${(w - 3)}^{5} - {(w - 3)}^{2}$
30106	Solve for x	4^x-12*2^x+32=0	$4^{x} - 12 \cdot 2^{x} + 32 = 0$
30107	Convert to a Decimal	-510deg	$- 510$ degrees
30108	Find the Product	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
30109	Evaluate	2*2-4÷2+4	$2 \cdot 2 - 4 \div 2 + 4$
30110	Solve for a	a+1-2=4	$a + 1 - 2 = 4$
30111	Solve by Substitution	4y+3=3y+x 2x+4y=18	$4 y + 3 = 3 y + x$ $2 x + 4 y = 18$
30112	Find the Inverse	4x^(1/3)	$4 x^{\frac{1}{3}}$
30113	Solve the Inequality for x	2x^2+4x-87<-8x-7	$2 x^{2} + 4 x - 87 < - 8 x - 7$
30114	Find the Slope	(-4,3) and (-4,-7)	$(- 4, 3)$ and $(- 4, - 7)$
30115	Simplify	8xy(x+8y)	$8 x y (x + 8 y)$
30116	Evaluate	2/3*9^(3/2)	$\frac{2}{3} \cdot 9^{\frac{3}{2}}$
30117	Divide	( fourth root of 3)/( cube root of 3)	$\frac{\sqrt[4]{3}}{\sqrt[3]{3}}$
30118	Solve for x	(x^2+1)(x-2)=0	$(x^{2} + 1) (x - 2) = 0$
30119	Find the Product	8xy(x+8y)	$8 x y (x + 8 y)$
30120	Find the Distance Between Two Points	(9,-4) and (5,3)	$(9, - 4)$ and $(5, 3)$
30121	Graph	f(x)=1+ cube root of x	$f (x) = 1 + \sqrt[3]{x}$
30122	Find the Concavity	-1/3x^3+x^2	$- \frac{1}{3} x^{3} + x^{2}$
30123	Find the Equation Using Point-Slope Formula	(-9,6) and (-7,-8)	$(- 9, 6)$ and $(- 7, - 8)$
30124	Simplify the Radical Expression	4/(8- square root of 6)	$\frac{4}{8 - \sqrt{6}}$
30125	Simplify	(10k^4+17k^3)-(14k^3-2k+9k^4)	$(10 k^{4} + 17 k^{3}) - (14 k^{3} - 2 k + 9 k^{4})$
30126	Subtract	(-14+3i)-(14i)	$(- 14 + 3 i) - (14 i)$
30127	Solve the Inequality for d	3d-7>=8	$3 d - 7 \geq 8$
30128	Solve by Factoring	4x^3+x^2+100x+25=0	$4 x^{3} + x^{2} + 100 x + 25 = 0$
30129	Find the Holes in the Graph	(x^2-16)/(2x+8)	$\frac{x^{2} - 16}{2 x + 8}$
30130	Write Using Positive Exponents	-1^-5y^2	$- 1^{- 5} y^{2}$
30131	Divide Using Synthetic Division	(3x^4-7x^3+x^2-18x-9)/(x-3)	$\frac{3 x^{4} - 7 x^{3} + x^{2} - 18 x - 9}{x - 3}$
30132	Find the Asymptotes	(3x^2+27x+54)/(x^2-10x)	$\frac{3 x^{2} + 27 x + 54}{x^{2} - 10 x}$
30133	Solve the Rational Equation for n	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
30134	Solve the Rational Equation for x	x/(x^2-6x+8)+2/(x-2)=1/(x-4)	$\frac{x}{x^{2} - 6 x + 8} + \frac{2}{x - 2} = \frac{1}{x - 4}$
30135	Find the Asymptotes	((3x-7)(x+2))/(3(x-10)(x+2))	$\frac{(3 x - 7) (x + 2)}{3 (x - 10) (x + 2)}$
30136	Evaluate	1/2(3)^2((2pi)/3)	$\frac{1}{2} {(3)}^{2} (\frac{2 π}{3})$
30137	Simplify	c^4(5c^3+c^5)	$c^{4} (5 c^{3} + c^{5})$
30138	Solve for a	a^2+b^2=100	$a^{2} + b^{2} = 100$
30139	Divide	(x^2-4)/(1-6x)	$\frac{x^{2} - 4}{1 - 6 x}$
30140	Solve the Inequality for x	-3x^2+2x+12>=7	$- 3 x^{2} + 2 x + 12 \geq 7$
30141	Factor	x^4-9x^2-5x^3+45x+6x^2-54	$x^{4} - 9 x^{2} - 5 x^{3} + 45 x + 6 x^{2} - 54$
30142	Solve Using the Square Root Property	2(x^2-1)+1=1	$2 (x^{2} - 1) + 1 = 1$
30143	Simplify	(x-2)/(x-4/x)	$\frac{x - 2}{x - \frac{4}{x}}$
30144	Solve for v	y=(v^2)/(2a)	$y = \frac{v^{2}}{2 a}$
30145	Find Amplitude, Period, and Phase Shift	y=cos((2pix)/3+1/3)	$y = \cos (\frac{2 π x}{3} + \frac{1}{3})$
30146	Simplify	x(-x^2-5)	$x (- x^{2} - 5)$
30147	Find the Remainder	(6x^4-20x^3+15x^2-8)÷(-x^2+2x-1)	$(6 x^{4} - 20 x^{3} + 15 x^{2} - 8) \div (- x^{2} + 2 x - 1)$
30148	Evaluate	( cube root of 3* cube root of 18)/( sixth root of 2* sixth root of 2)	$\frac{\sqrt[3]{3} \cdot \sqrt[3]{18}}{\sqrt[6]{2} \cdot \sqrt[6]{2}}$
30149	Solve the Rational Equation for x	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
30150	Write in Standard Form	(15x^2-3x+11)+(2x^3-x^2+6x+1)	$(15 x^{2} - 3 x + 11) + (2 x^{3} - x^{2} + 6 x + 1)$
30151	Solve the System of Inequalities	y>-x+6 y<3/2x-4	$y > - x + 6$ $y < \frac{3}{2} x - 4$
30152	Factor	y=x^4+4x^2-45	$y = x^{4} + 4 x^{2} - 45$
30153	Simplify	(x^2)/3-5/3x^2	$\frac{x^{2}}{3} - \frac{5}{3} x^{2}$
30154	Graph	1/3x=x+8	$\frac{1}{3} x = x + 8$
30155	Solve the Function Operation	g(x)=4x+4 ; find g(4)	$g (x) = 4 x + 4$ ; find $g (4)$
30156	Rationalize the Denominator	6/(-3- square root of 13)	$\frac{6}{- 3 - \sqrt{13}}$
30157	Graph	y=10cos((2pi)/3(x+1/4))	$y = 10 \cos (\frac{2 π}{3} (x + \frac{1}{4}))$
30158	Simplify	-5x+(x-1)	$- 5 x + (x - 1)$
30159	Solve for x	4(x+1)^4=68	$4 {(x + 1)}^{4} = 68$
30160	Find the Derivative - d/dx	1/2x-sin(x)	$\frac{1}{2} x - \sin (x)$
30161	Simplify	1/( square root of 12n^2)	$\frac{1}{\sqrt{12 n^{2}}}$
30162	Solve for y	x^2-y^2=z^2	$x^{2} - y^{2} = z^{2}$
30163	Find dy/dt	y=e^(5t)	$y = e^{5 t}$
30164	Graph	p(x)=2+1/(2x-4)	$p (x) = 2 + \frac{1}{2 x - 4}$
30165	Evaluate	2 square root of 7x*3 square root of 14x^2	$2 \sqrt{7 x} \cdot 3 \sqrt{14 x^{2}}$
30166	Write in Standard Form	(5y^3-2y^2-1)-(y^2-2y-3)	$(5 y^{3} - 2 y^{2} - 1) - (y^{2} - 2 y - 3)$
30167	Find the Domain	square root of x-1+ square root of x-2 = square root of x-3	$\sqrt{x - 1} + \sqrt{x - 2} = \sqrt{x - 3}$
30168	Simplify	eighth root of x^6y^12	$\sqrt[8]{x^{6} y^{12}}$
30169	Simplify	e^(- natural log of 4)	$e^{- \ln (4)}$
30170	Solve the Function Operation	f(x)=(x-2)^2-2 if x<4; 6 if x=4; x-3 if x>4 Find f(4)	$f (x) = {\begin{cases} {(x - 2)}^{2} - 2 & x < 4 \\ 6 & x = 4 \\ x - 3 & x > 4 \end{cases}$ Find $f (4)$
30171	Find the Complex Conjugate	square root of 3+ square root of 2	$\sqrt{3} + \sqrt{2}$
30172	Solve for x	2x-5x+(5x+3x)=0	$2 x - 5 x + (5 x + 3 x) = 0$
30173	Write in Standard Form	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
30174	Simplify	y^(-5/2)*y^-1	$y^{- \frac{5}{2}} \cdot y^{- 1}$
30175	Solve for x	3/(8x)-5/8=-1	$\frac{3}{8 x} - \frac{5}{8} = - 1$
30176	Solve in Terms of the Arbitrary Variable C	C=5/9(F-32) F=9/5C+32	$C = \frac{5}{9} (F - 32)$ $F = \frac{9}{5} C + 32$
30177	Find the Midpoint	What is the midpoint between (3,-1) and (7,-5)	What is the midpoint between $(3, - 1)$ and $(7, - 5)$
30178	Convert to a Decimal	sin(330)deg	$\sin (330)$ degrees
30179	Find the Exact Value	cot(arccos(1/2))	$\cot (\arccos (\frac{1}{2}))$
30180	Describe the Transformation	y=4-3sin(2/5(x+1))	$y = 4 - 3 \sin (\frac{2}{5} (x + 1))$
30181	Solve the Function Operation	Given f(x)=6x+2 ; find f(x+3)	Given $f (x) = 6 x + 2$ ; find $f (x + 3)$
30182	Find the Direction Angle of the Vector	B=(3,5)	$B = (3, 5)$
30183	Solve for y	8x-y=-8+6	$8 x - y = - 8 + 6$
30184	Solve for x	(x^2-36)/(6-x)=0	$\frac{x^{2} - 36}{6 - x} = 0$
30185	Simplify	8/( cube root of 16)	$\frac{8}{\sqrt[3]{16}}$
30186	Simplify	(3x^2-15)/(2x^2-10)	$\frac{3 x^{2} - 15}{2 x^{2} - 10}$
30187	Factor	x^2-6x(a+b)+9(a+b)^2	$x^{2} - 6 x (a + b) + 9 {(a + b)}^{2}$
30188	Solve Using the Quadratic Formula	3(3x+1)^2=39	$3 {(3 x + 1)}^{2} = 39$
30189	Solve for x	3-(x+7)/2=9	$3 - \frac{x + 7}{2} = 9$
30190	Simplify the Radical Expression	-2 fourth root of 405x^16y^7	$- 2 \sqrt[4]{405 x^{16} y^{7}}$
30191	Simplify the Radical Expression	(xy^(2/3))^(1/2)	${(x y^{\frac{2}{3}})}^{\frac{1}{2}}$
30192	Factor	-36bc^7+27b^6c^7+36bc^2	$- 36 b c^{7} + 27 b^{6} c^{7} + 36 b c^{2}$
30193	Solve for x	12x^2+48x=-x^3-64	$12 x^{2} + 48 x = - x^{3} - 64$
30194	Solve the Inequality for x	21<=x^2+4x	$21 \leq x^{2} + 4 x$
30195	Solve for x	4=3x^2+14x+4	$4 = 3 x^{2} + 14 x + 4$
30196	Solve the Rational Equation for x	square root of 5x+4+6=4	$\sqrt{5 x + 4} + 6 = 4$
30197	Solve for r	cube root of r+21=8	$\sqrt[3]{r + 21} = 8$
30198	Simplify	(3xy^3)^(1/2)	${(3 x y^{3})}^{\frac{1}{2}}$
30199	Subtract	x/(2x-5)-(4x+15)/(4x^2-25)	$\frac{x}{2 x - 5} - \frac{4 x + 15}{4 x^{2} - 25}$
30200	Find the Inverse	f(x)=9( fifth root of x-8)+10	$f (x) = 9 (\sqrt[5]{x} - 8) + 10$