Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31301	Evaluate	(1-5*-5)/24	$\frac{1 - 5 \cdot - 5}{24}$
31302	Add	(5xy-4y)/(2x^2y^3)+(3xy+4y)/(2x^2y^3)	$\frac{5 x y - 4 y}{2 x^{2} y^{3}} + \frac{3 x y + 4 y}{2 x^{2} y^{3}}$
31303	Simplify	((-2x)/(5x))^0	${(\frac{- 2 x}{5 x})}^{0}$
31304	Multiply	((x-5)(x-8))/(x+1)*(x+1)/((x+5)(x-8))	$\frac{(x - 5) (x - 8)}{x + 1} \cdot \frac{x + 1}{(x + 5) (x - 8)}$
31305	Simplify	cube root of 3(5 cube root of 9-4)	$\sqrt[3]{3} (5 \sqrt[3]{9} - 4)$
31306	Simplify	-5y^-2z	$- 5 y^{- 2} z$
31307	Find the Derivative - d/dx	-2/(x^(1/2))	$- \frac{2}{x^{\frac{1}{2}}}$
31308	Solve the Inequality for b	b/5>-1	$\frac{b}{5} > - 1$
31309	Write as a Single Logarithm	1+3 natural log of x-4 natural log of y+1/2 natural log of z	$1 + 3 \ln (x) - 4 \ln (y) + \frac{1}{2} \ln (z)$
31310	Solve for b	1+\|1+b\|<4	$1 + \| 1 + b \| < 4$
31311	Combine Like Terms	1.5r-3r+8r+2.5r	$1.5 r - 3 r + 8 r + 2.5 r$
31312	Calculate the Square Root	2r square root of 49s^5t^10	$2 r \sqrt{49 s^{5} t^{10}}$
31313	Solve for E	3.9=2/3 log of E/E_0	$3.9 = \frac{2}{3} \log (\frac{E}{E_{0}})$
31314	Graph	x/( square root of x^2+1)	$\frac{x}{\sqrt{x^{2} + 1}}$
31315	Simplify the Radical Expression	(4- square root of 2)/(2 square root of 8)	$\frac{4 - \sqrt{2}}{2 \sqrt{8}}$
31316	Simplify	((-9x)/(x^2-8x)*(9x^3+36x^2-189x)/(x^2-10x+21))÷((x+7)/(x^2-15x+56))	$\frac{- 9 x}{x^{2} - 8 x} \cdot \frac{9 x^{3} + 36 x^{2} - 189 x}{x^{2} - 10 x + 21} \div \frac{x + 7}{x^{2} - 15 x + 56}$
31317	Combine Like Terms	-m+17m-12c+3m+4c+21c	$- m + 17 m - 12 c + 3 m + 4 c + 21 c$
31318	Solve for x	6x+(4+2x)=2x-(7x-4)+5	$6 x + (4 + 2 x) = 2 x - (7 x - 4) + 5$
31319	Graph	f(x)=1/2(x-1)	$f (x) = \frac{1}{2} (x - 1)$
31320	Evaluate	(2/x-4/y)/(-5/y+3/x)	$\frac{\frac{2}{x} - \frac{4}{y}}{\frac{- 5}{y} + \frac{3}{x}}$
31321	Factor	x^6+4x^4-12x^2	$x^{6} + 4 x^{4} - 12 x^{2}$
31322	Find the Domain and Range	y=2x+x^2	$y = 2 x + x^{2}$
31323	Solve for x	1/2(5x+1)^(1/3)+5/2=4	$\frac{1}{2} {(5 x + 1)}^{\frac{1}{3}} + \frac{5}{2} = 4$
31324	Solve for m	square root of m+5=8	$\sqrt{m + 5} = 8$
31325	Solve the Inequality for x	x+2=5	$x + 2 = 5$
31326	Solve Using the Quadratic Formula	6x^2-2+x=x	$6 x^{2} - 2 + x = x$
31327	Simplify	(x^-2y)/(xy^2)	$\frac{x^{- 2} y}{x y^{2}}$
31328	Evaluate	(2y^3*3xy^3)/(3x^2y^4)	$\frac{2 y^{3} \cdot 3 x y^{3}}{3 x^{2} y^{4}}$
31329	Solve the Function Operation	f(x)=x^2-4x-9 g(x)=-3x-5 Find: f(g(x))	$f (x) = x^{2} - 4 x - 9$ $g (x) = - 3 x - 5$ Find: $f (g (x))$
31330	Find the Antiderivative	f(x)=2/5+cos(x)	$f (x) = \frac{2}{5} + \cos (x)$
31331	Evaluate	(-8^-2)/(3^-4)	$\frac{- 8^{- 2}}{3^{- 4}}$
31332	Find the Derivative - d/dt	1-arctan(e^t)	$1 - \arctan (e^{t})$
31333	Simplify	10a^9-12a^9+10a^7+9a^9-3a^7	$10 a^{9} - 12 a^{9} + 10 a^{7} + 9 a^{9} - 3 a^{7}$
31334	Write in Exponential Form	( fourth root of p^2)^8	${(\sqrt[4]{p^{2}})}^{8}$
31335	Verify the Identity	sin(x)tan(x)+cos(x)-sec(x)+1=sec(x)^2cos(x)^2	$\sin (x) \tan (x) + \cos (x) - \sec (x) + 1 = \sec^{2} (x) \cos^{2} (x)$
31336	Evaluate Using the Given Value	6x+4 when x=2	$6 x + 4$ when $x = 2$
31337	Evaluate	square root of 75yz^2	$\sqrt{75 y z^{2}}$
31338	Solve the Inequality for a	-4a+13>=29	$- 4 a + 13 \geq 29$
31339	Solve for x	(x-9)(x+9)=x^2-81	$(x - 9) (x + 9) = x^{2} - 81$
31340	Graph	find f(3)	find $f (3)$
31341	Find the Derivative - d/dx	(x+4)/((x-1)(x+3))	$\frac{x + 4}{(x - 1) (x + 3)}$
31342	Evaluate	1/2+2/3+1 2/3+1/5	$\frac{1}{2} + \frac{2}{3} + 1 \frac{2}{3} + \frac{1}{5}$
31343	Find the Derivative - d/dx	e^xsin(x^2)	$e^{x} \sin (x^{2})$
31344	Simplify	(-1/2a^3b^4-1/3a^2b^2+2/5a^5b-a^2b^3)÷(-5a^3b^2)	$(- \frac{1}{2} a^{3} b^{4} - \frac{1}{3} a^{2} b^{2} + \frac{2}{5} a^{5} b - a^{2} b^{3}) \div (- 5 a^{3} b^{2})$
31345	Simplify	(4^2)/-5	$\frac{4^{2}}{- 5}$
31346	Simplify	6(4n^2mp^0)	$6 (4 n^{2} m p^{0})$
31347	Find the Derivative - d/dx	\|2x\|	$\| 2 x \|$
31348	Solve for r	r = square root of (Gm_1m_2)/F	$r = \sqrt{\frac{G m_{1} m_{2}}{F}}$
31349	Simplify	(2^2)/(2^-7)*2	$\frac{2^{2}}{2^{- 7}} \cdot 2$
31350	Solve the Matrix Equation	2[[2,1],[-1,3]]+[[-6,2p],[4,-1]]=[[2,-1],[1,1]][[0,1],[2,4]]	$2 [\begin{array}{c} 2 & 1 \\ - 1 & 3 \end{array}] + [\begin{array}{c} - 6 & 2 p \\ 4 & - 1 \end{array}] = [\begin{array}{c} 2 & - 1 \\ 1 & 1 \end{array}] [\begin{array}{c} 0 & 1 \\ 2 & 4 \end{array}]$
31351	Find the Derivative - d/dx	-(x+1)^(2/3)	$- {(x + 1)}^{\frac{2}{3}}$
31352	Graph	y=2sin(-3theta-pi/2)+2	$y = 2 \sin (- 3 θ - \frac{π}{2}) + 2$
31353	Graph Using a Table of Values	y=4*(1/2)^(x-1)-2	$y = 4 \cdot {(\frac{1}{2})}^{x - 1} - 2$
31354	Solve for b	4.15-7b-48=37.35(-3b-10)	$4.15 - 7 b - 48 = 37.35 (- 3 b - 10)$
31355	Find the Reference Angle	tan((3pi)/2)	$\tan (\frac{3 π}{2})$
31356	Find the Exact Value	square root of square root of 625	$\sqrt{\sqrt{625}}$
31357	Solve for x	5(x-2)-2x=2(x-5)+x	$5 (x - 2) - 2 x = 2 (x - 5) + x$
31358	Solve for x	2(4x+2)-7x=0	$2 (4 x + 2) - 7 x = 0$
31359	Simplify the Radical Expression	( square root of 2xy)^3	${(\sqrt{2 x y})}^{3}$
31360	Solve the Differential Equation	(1+e^x)y*(dy)/(dx)=e^x	$(1 + e^{x}) y \cdot \frac{d y}{d x} = e^{x}$
31361	Solve for x	((10^x)^(2/3))/(10^(1/3))=10	$\frac{{(10^{x})}^{\frac{2}{3}}}{10^{\frac{1}{3}}} = 10$
31362	Solve the Inequality for x	-3x^2+6>x+4	$- 3 x^{2} + 6 > x + 4$
31363	Find Where Increasing/Decreasing	f(x)=5+12x-x^3	$f (x) = 5 + 12 x - x^{3}$
31364	Solve for y	-6=-9/y	$- 6 = - \frac{9}{y}$
31365	Find the GCF	6 and 9	$6$ and $9$
31366	Factor	x^2+0x-25	$x^{2} + 0 x - 25$
31367	Find the Slope	(-1,-7) and (0,-9)	$(- 1, - 7)$ and $(0, - 9)$
31368	Simplify	(5ab+4c)(5ab-4c)	$(5 a b + 4 c) (5 a b - 4 c)$
31369	Find the Concavity	1/6x^4+x^3-18x^2	$\frac{1}{6} x^{4} + x^{3} - 18 x^{2}$
31370	Divide	((3x^5y^3)^5)/((6x^10y^7)^2)	$\frac{{(3 x^{5} y^{3})}^{5}}{{(6 x^{10} y^{7})}^{2}}$
31371	Convert to Interval Notation	-x+3>=1 or 6x+4<-3	$- x + 3 \geq 1$ or $6 x + 4 < - 3$
31372	Expand the Logarithmic Expression	log of ( cube root of x^4z^2)/(y^4)	$\log (\frac{\sqrt[3]{x^{4} z^{2}}}{y^{4}})$
31373	Solve for x	(x^2+x)/5=(3x-1)/4	$\frac{x^{2} + x}{5} = \frac{3 x - 1}{4}$
31374	Simplify	(36e^16f^64)^(1/2)	${(36 e^{16} f^{64})}^{\frac{1}{2}}$
31375	Evaluate the Limit	limit as x approaches infinity of (x^2-5x+4)/(2x^2-8x)	$lim_{x \to \infty} \frac{x^{2} - 5 x + 4}{2 x^{2} - 8 x}$
31376	Evaluate the Function	h(0)=10^0	$h (0) = 10^{0}$
31377	Solve by Substitution	x=4y and x+2y=12	$x = 4 y$ and $x + 2 y = 12$
31378	Evaluate	x+x+x+x	$x + x + x + x$
31379	Solve for x	2(2^(3x))=10	$2 (2^{3 x}) = 10$
31380	Simplify	(3t-3)+(6t^2+4t+13)+(-8t^2+11t-1)	$(3 t - 3) + (6 t^{2} + 4 t + 13) + (- 8 t^{2} + 11 t - 1)$
31381	Solve for x	4^(3+x)=25	$4^{3 + x} = 25$
31382	Solve the Function Operation	If f(x)=1/x and g(x)=3x+2 find f(g(x))	If $f (x) = \frac{1}{x}$ and $g (x) = 3 x + 2$ find $f (g (x))$
31383	Simplify the Radical Expression	x^(1/3)*x^(2/5)	$x^{\frac{1}{3}} \cdot x^{\frac{2}{5}}$
31384	Graph	y>=x+3 y<=2x-6	$y \geq x + 3$ $y \leq 2 x - 6$
31385	Simplify the Radical Expression	fourth root of (5x)/(8y)	$\sqrt[4]{\frac{5 x}{8 y}}$
31386	Multiply	(3a-b+2c)^2	${(3 a - b + 2 c)}^{2}$
31387	Solve for s	\|5s-10\|>=0	$\| 5 s - 10 \| \geq 0$
31388	Write as a Single Logarithm	2 log base a of z+1+ log base a of 3z+2	$2 \log_{a} (z + 1) + \log_{a} (3 z + 2)$
31389	Find the Exact Value	(pi/2)^2	${(\frac{π}{2})}^{2}$
31390	Simplify	(2x^2+5x+2)/(4x^2-1)*(2x^2+x-1)/(x^2+x-2)	$\frac{2 x^{2} + 5 x + 2}{4 x^{2} - 1} \cdot \frac{2 x^{2} + x - 1}{x^{2} + x - 2}$
31391	Find the Derivative - d/dx	y=cos(2x+1)	$y = \cos (2 x + 1)$
31392	Simplify	( square root of 1)^2	${(\sqrt{1})}^{2}$
31393	Simplify the Radical Expression	fourth root of 10^5* cube root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[3]{10}$
31394	Simplify	square root of -64-4 cube root of -125+ cube root of 8	$\sqrt{- 64} - 4 \sqrt[3]{- 125} + \sqrt[3]{8}$
31395	Simplify	(-1)^(3/2)	${(- 1)}^{\frac{3}{2}}$
31396	Find the Derivative - d/dx	y=1/2(e^x+e^(-x))	$y = \frac{1}{2} (e^{x} + e^{- x})$
31397	Determine if Perpendicular	-4y=-2x+8 and 3x-6y=6	$- 4 y = - 2 x + 8$ and $3 x - 6 y = 6$
31398	Simplify	Simplify ( square root of 21+3)( square root of 21+8)	Simplify $(\sqrt{21} + 3) (\sqrt{21} + 8)$
31399	Evaluate	(x^5y^4)/(x^-5y^4)	$\frac{x^{5} y^{4}}{x^{- 5} y^{4}}$
31400	Simplify	5x(X+4)	$5 x (X + 4)$