Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23101	Solve Using the Square Root Property	3(x+1)^2-15=-12	$3 {(x + 1)}^{2} - 15 = - 12$
23102	Find the Asymptotes	y=1/2tan(2x)	$y = \frac{1}{2} \tan (2 x)$
23103	Find the Inverse	y=(2x-1)/(x+3)	$y = \frac{2 x - 1}{x + 3}$
23104	Subtract	-3x^2-x-10 and 10x^2+x-10	$- 3 x^{2} - x - 10$ and $10 x^{2} + x - 10$
23105	Simplify	(-3u^2)(-u^2v^2)(2uv)	$(- 3 u^{2}) (- u^{2} v^{2}) (2 u v)$
23106	Find All Complex Solutions	31p^2+10p+1=6p^2	$31 p^{2} + 10 p + 1 = 6 p^{2}$
23107	Simplify	(m^3)^-1(x^(1/3))^(1/4)	${(m^{3})}^{- 1} {(x^{\frac{1}{3}})}^{\frac{1}{4}}$
23108	Simplify	(2x+1)/(x-2)+(x-3)/(x^2+2x-8)	$\frac{2 x + 1}{x - 2} + \frac{x - 3}{x^{2} + 2 x - 8}$
23109	Solve for x	square root of (x+1)^3=9	$\sqrt{{(x + 1)}^{3}} = 9$
23110	Simplify	x^2(-10x^2+1)	$x^{2} (- 10 x^{2} + 1)$
23111	Simplify	3/(3-3/(x+3))-3/(3+3/(x+3))	$\frac{3}{3 - \frac{3}{x + 3}} - \frac{3}{3 + \frac{3}{x + 3}}$
23112	Evaluate	1+ log base 2 of 3	$1 + \log_{2} (3)$
23113	Simplify	( square root of 3- square root of 8)/( square root of 8+ square root of 12)	$\frac{\sqrt{3} - \sqrt{8}}{\sqrt{8} + \sqrt{12}}$
23114	Factor	16a^3bc-49ab^3c	$16 a^{3} b c - 49 a b^{3} c$
23115	Find the Degree	w^5+w^8x^3y^6-y^7	$w^{5} + w^{8} x^{3} y^{6} - y^{7}$
23116	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+19x^2+29x+14 is divided by 4x+7	Use the long division method to find the result when $4 x^{3} + 19 x^{2} + 29 x + 14$ is divided by $4 x + 7$
23117	Evaluate the Summation	6 sum from m=0 to 5 of 8-m^2	$6 \sum_{m = 0}^{5} 8 - m^{2}$
23118	Add	(3pi)/2+pi/4	$\frac{3 π}{2} + \frac{π}{4}$
23119	Find the Quotient	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
23120	Solve for y	5+3(y-4)=5(y+2)-y	$5 + 3 (y - 4) = 5 (y + 2) - y$
23121	Solve for k	square root of k-4-1=5	$\sqrt{k - 4} - 1 = 5$
23122	Simplify	square root of cube root of 9m^4	$\sqrt{\sqrt[3]{9 m^{4}}}$
23123	Determine if Odd, Even, or Neither	2x^4+8x	$2 x^{4} + 8 x$
23124	Evaluate	7/(sin(30))	$\frac{7}{\sin (30)}$
23125	Evaluate the Limit	limit as x approaches 2 of - square root of 2x+1	$lim_{x \to 2} - \sqrt{2 x + 1}$
23126	Find the Domain and Range	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
23127	Find the Parabola with Focus (0,4) and Directrix y=2	(0,4) y=2	$(0, 4)$ $y = 2$
23128	Find Where Increasing/Decreasing	f(x)=1/2x^(3/2)	$f (x) = \frac{1}{2} x^{\frac{3}{2}}$
23129	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-3x^3-3x^2+11x+10 is divided by x+1	Use synthetic division to find the result when $x^{4} - 3 x^{3} - 3 x^{2} + 11 x + 10$ is divided by $x + 1$
23130	Evaluate the Integral	integral of (2sin( square root of x)^3)/( square root of x) with respect to x	$\int \frac{2 \sin^{3} (\sqrt{x})}{\sqrt{x}} d x$
23131	Solve the System of Equations	x-y+2z=2 2y-4z=8 -x+4z=-10	$x - y + 2 z = 2$ $2 y - 4 z = 8$ $- x + 4 z = - 10$
23132	Solve for n	8^(n-2) = square root of 8	$8^{n - 2} = \sqrt{8}$
23133	Solve the System of Inequalities	0.7x-2.1<0 2/3x>1	$0.7 x - 2.1 < 0$ $\frac{2}{3} x > 1$
23134	Find Where Increasing/Decreasing	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
23135	Solve the Inequality for x	3x^2-8x-120>x	$3 x^{2} - 8 x - 120 > x$
23136	Simplify	(a^3b^-2)/(ab)	$\frac{a^{3} b^{- 2}}{a b}$
23137	Simplify	(a^-3b^-2)/(ab)	$\frac{a^{- 3} b^{- 2}}{a b}$
23138	Find Where Increasing/Decreasing	f(x)=(4x)/(x-1)	$f (x) = \frac{4 x}{x - 1}$
23139	Simplify	x/(x^2-25)+(x^2)/(x-5)	$\frac{x}{x^{2} - 25} + \frac{x^{2}}{x - 5}$
23140	Solve for x	(x+1)(x^2-3x+2)<0	$(x + 1) (x^{2} - 3 x + 2) < 0$
23141	Simplify	(5- square root of -49)+(2+3i)	$(5 - \sqrt{- 49}) + (2 + 3 i)$
23142	Find the Third Derivative	f(x)=3/4x^-2+1/2x^4-x^3	$f (x) = \frac{3}{4} x^{- 2} + \frac{1}{2} x^{4} - x^{3}$
23143	Write in Slope-Intercept Form	-2(x+3y)=12	$- 2 (x + 3 y) = 12$
23144	Simplify	(7x)/6*1/(3x)	$\frac{7 x}{6} \cdot \frac{1}{3 x}$
23145	Graph Using a Table of Values	y=(1/3)^x-2	$y = {(\frac{1}{3})}^{x} - 2$
23146	Evaluate	(1/3)÷(3/5)-1/2*3/5	$\frac{1}{3} \div \frac{3}{5} - \frac{1}{2} \cdot \frac{3}{5}$
23147	Graph	f(x)=(x^2-4)/(2x^2-11x+14)	$f (x) = \frac{x^{2} - 4}{2 x^{2} - 11 x + 14}$
23148	Divide	(9n^3+n^2+3n)/(9n^2)	$\frac{9 n^{3} + n^{2} + 3 n}{9 n^{2}}$
23149	Find the Integral	e^(-x/2)	$e^{- \frac{x}{2}}$
23150	Simplify	(512/216)^(1/3)	${(\frac{512}{216})}^{\frac{1}{3}}$
23151	Find the Asymptotes	f(x) = log base 1/2 of x+3	$f (x) = \log_{\frac{1}{2}} (x) + 3$
23152	Simplify	(16bc-12cd)+(8cd-6bc+4bd)	$(16 b c - 12 c d) + (8 c d - 6 b c + 4 b d)$
23153	Solve the Inequality for x	-3x^2+45>=6x	$- 3 x^{2} + 45 \geq 6 x$
23154	Find the Derivative - d/dh	h=40t-4.9t^2	$h = 40 t - 4.9 t^{2}$
23155	Simplify	5/(y-3)+1/(y+3)-(4y-18)/(y^2-9)	$\frac{5}{y - 3} + \frac{1}{y + 3} - \frac{4 y - 18}{y^{2} - 9}$
23156	Simplify	5x^2-(3x-6x^2)+6+(7x-2)	$5 x^{2} - (3 x - 6 x^{2}) + 6 + (7 x - 2)$
23157	Solve for k	4*10^k=60	$4 \cdot 10^{k} = 60$
23158	Rationalize the Denominator	-2/(-4+ square root of 14)	$\frac{- 2}{- 4 + \sqrt{14}}$
23159	Simplify	(y^2)/(y-3)-6/(2y-6)	$\frac{y^{2}}{y - 3} - \frac{6}{2 y - 6}$
23160	Add	(x-2) and (x^2+3)	$(x - 2)$ and $(x^{2} + 3)$
23161	Simplify	((2x)*(3x^2))/(x^2)	$\frac{(2 x) \cdot (3 x^{2})}{x^{2}}$
23162	Multiply	(5x^3)(4xy^2)	$(5 x^{3}) (4 x y^{2})$
23163	Simplify	((a^2-b^2)/(b^3))/((b^2-ab)/(a^2))	$\frac{\frac{a^{2} - b^{2}}{b^{3}}}{\frac{b^{2} - a b}{a^{2}}}$
23164	Simplify	((kn)^-5)/(v^2)	$\frac{{(k n)}^{- 5}}{v^{2}}$
23165	Add	(-7mn+8mn^2-8m^2n^2)+(10m^2n+2m^2n^2-3mn)	$(- 7 m n + 8 m n^{2} - 8 m^{2} n^{2}) + (10 m^{2} n + 2 m^{2} n^{2} - 3 m n)$
23166	Find the Exact Value	csc((1pi)/4)	$\csc (\frac{1 π}{4})$
23167	Solve the System of Equations	x-5y=-3 y=-2	$x - 5 y = - 3$ $y = - 2$
23168	Write in Standard Form	(2x^2+x+3)(2x^2-x+6)	$(2 x^{2} + x + 3) (2 x^{2} - x + 6)$
23169	Find the Determinant	B=[[4,-1,2],[2,5,-2],[0,-3,7]]	$B = [\begin{array}{c} 4 & - 1 & 2 \\ 2 & 5 & - 2 \\ 0 & - 3 & 7 \end{array}]$
23170	Find the Degree	x^2+bx+c	$x^{2} + b x + c$
23171	Solve for x	15/(x+3)=(3x+1)/4	$\frac{15}{x + 3} = \frac{3 x + 1}{4}$
23172	Find the Slope and y-intercept	-3y=9-12	$- 3 y = 9 - 12$
23173	Simplify	(n^(1/3))/(n^(1/6)*n^(1/2))	$\frac{n^{\frac{1}{3}}}{n^{\frac{1}{6}} \cdot n^{\frac{1}{2}}}$
23174	Simplify the Radical Expression	fourth root of x^14	$\sqrt[4]{x^{14}}$
23175	Solve for x	x+9=18+-2	$x + 9 = 18 + - 2$
23176	Solve for x	-16>x÷2	$- 16 > x \div 2$
23177	Divide Using Long Polynomial Division	(2x^3+3x^2+4x+5)÷(2x^2+3x+4)	$(2 x^{3} + 3 x^{2} + 4 x + 5) \div (2 x^{2} + 3 x + 4)$
23178	Integrate Using u-Substitution	integral of 1/( square root of 1-x^2) with respect to x	$\int \frac{1}{\sqrt{1 - x^{2}}} d x$
23179	Find the Second Derivative	x/( natural log of x)	$\frac{x}{\ln (x)}$
23180	Find the Points of Intersection	y=x+16 x^2+y^2=128	$y = x + 16$ $x^{2} + y^{2} = 128$
23181	Solve the System of Inequalities	y>=-2x-1 y>=x+2	$y \geq - 2 x - 1$ $y \geq x + 2$
23182	Simplify	((23^-2)^3(53^2)^2)/((3^-2)(5*2)^2)	$\frac{{(2 \cdot 3^{- 2})}^{3} {(5 \cdot 3^{2})}^{2}}{(3^{- 2}) {(5 \cdot 2)}^{2}}$
23183	Solve for x	y=x/a+b	$y = \frac{x}{a} + b$
23184	Simplify the Radical Expression	(k^(2/5))(k^(6/7))	$(k^{\frac{2}{5}}) (k^{\frac{6}{7}})$
23185	Evaluate the Integral	integral from 1 to 3 of (y^3-2y^2-y)/(y^2) with respect to y	$\int_{1}^{3} \frac{y^{3} - 2 y^{2} - y}{y^{2}} d y$
23186	Divide	(-3d^8f^6+27d^5f^8-15d^5f^6)/(-3d^5f^6)	$\frac{- 3 d^{8} f^{6} + 27 d^{5} f^{8} - 15 d^{5} f^{6}}{- 3 d^{5} f^{6}}$
23187	Evaluate	3-1(25^(1/2)-8^(1/3))(4^(1/2)+27^0)	$3 - 1 (25^{\frac{1}{2}} - 8^{\frac{1}{3}}) (4^{\frac{1}{2}} + 27^{0})$
23188	Graph	y=1÷x	$y = 1 \div x$
23189	Solve for C in Degrees	8tan(C)-10=tan(C)-3	$8 \tan (C) - 10 = \tan (C) - 3$
23190	Find the Antiderivative	1/(2 square root of x)-1/(x^2)	$\frac{1}{2 \sqrt{x}} - \frac{1}{x^{2}}$
23191	Simplify	(x+4)/7+5x	$\frac{x + 4}{7} + 5 x$
23192	Evaluate	x^3-64=0	$x^{3} - 64 = 0$
23193	Find the LCD	(-5x)/(x+2) and (7x)/(5x+10)	$\frac{- 5 x}{x + 2}$ and $\frac{7 x}{5 x + 10}$
23194	Find All Complex Number Solutions	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
23195	Evaluate	sin(x)+cot(x)cos(x)	$\sin (x) + \cot (x) \cos (x)$
23196	Solve for x	(x^2)/25=36	$\frac{x^{2}}{25} = 36$
23197	Simplify/Condense	1/2 log base 8 of x+ log base 8 of y	$\frac{1}{2} \log_{8} (x) + \log_{8} (y)$
23198	Evaluate	(8x^2-15x)-(x^2-27x)=ax^2+bx	$(8 x^{2} - 15 x) - (x^{2} - 27 x) = a x^{2} + b x$
23199	Find the Product	(a+b)*2	$(a + b) \cdot 2$
23200	Simplify	(3x^3y^2)/(4x^3y^3)	$\frac{3 x^{3} y^{2}}{4 x^{3} y^{3}}$