Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6201	Solve for t	d=(r+c)t	$d = (r + c) t$
6202	Multiply	(a-x)(b-y)	$(a - x) (b - y)$
6203	Find Where Increasing/Decreasing	f(x)=2^(x+3)-5	$f (x) = 2^{x + 3} - 5$
6204	Simplify	(1-cos(theta)^2)cot(theta)sec(theta)	$(1 - \cos^{2} (θ)) \cdot \cot (θ) \cdot \sec (θ)$
6205	Find the Inverse	g(x) = cube root of x+1+2	$g (x) = \sqrt[3]{x + 1 + 2}$
6206	Simplify	Find the sum of 4x^2+3x+2 and 7x^2+7x+3	Find the sum of $4 x^{2} + 3 x + 2$ and $7 x^{2} + 7 x + 3$
6207	Simplify	-3y+5-2x-2+6y+x	$- 3 y + 5 - 2 x - 2 + 6 y + x$
6208	Solve for d	8000=pi/6d^3	$8000 = \frac{π}{6} d^{3}$
6209	Simplify	2b^(-1/4)*3b^(-3/2)	$2 b^{- \frac{1}{4}} \cdot 3 b^{- \frac{3}{2}}$
6210	Find the Derivative - d/dx	-15/(16(x+1)^(7/2))	$\frac{- 15}{16 {(x + 1)}^{\frac{7}{2}}}$
6211	Graph	y<-1 x>4	$y < - 1$ $x > 4$
6212	Solve in Terms of the Arbitrary Variable sₙ	s_n=-26240 , n=8 , r=-3	$s_{n} = - 26240$ , $n = 8$ , $r = - 3$
6213	Simplify	((7x^3)/3)÷((14x^2)/6)	$\frac{7 x^{3}}{3} \div \frac{14 x^{2}}{6}$
6214	Find the Inverse	y=3 square root of x	$y = 3 \sqrt{x}$
6215	Simplify the Radical Expression	5x^4y^2 square root of 4/25x^20y^30	$5 x^{4} y^{2} \sqrt{\frac{4}{25} x^{20} y^{30}}$
6216	Find the Antiderivative	x square root of 4-x^2	$x \sqrt{4 - x^{2}}$
6217	Solve by Graphing	y=-x+1 x=3	$y = - x + 1$ $x = 3$
6218	Simplify	(16x^3-8x^2+4x^4)/(2x)	$\frac{16 x^{3} - 8 x^{2} + 4 x^{4}}{2 x}$
6219	Find the x and y Intercepts	f(x)=2 square root of x+1	$f (x) = 2 \sqrt{x + 1}$
6220	Find the Derivative - d/dx	e^(-x)(x^2+2x)	$e^{- x} (x^{2} + 2 x)$
6221	Find All Complex Solutions	\|x+2\|+x=-2	$\| x + 2 \| + x = - 2$
6222	Convert from Degrees to Radians	180^O	$180^{O}$
6223	Solve for y	6xy+3y=-72	$6 x y + 3 y = - 72$
6224	Solve for x	square root of 4x^2-4x+1=2x-1	$\sqrt{4 x^{2} - 4 x + 1} = 2 x - 1$
6225	Evaluate	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
6226	Simplify the Radical Expression	2b^(1/2)(3b^(1/2)c^(1/3))^2	$2 b^{\frac{1}{2}} {(3 b^{\frac{1}{2}} c^{\frac{1}{3}})}^{2}$
6227	Find the Domain and Range	f(x)=(3x+1)^(1/3)	$f (x) = {(3 x + 1)}^{\frac{1}{3}}$
6228	Evaluate	(5^2-15)/(10-2^3)	$\frac{5^{2} - 15}{10 - 2^{3}}$
6229	Simplify	10 square root of 6+ square root of 48-8 square root of 3+ square root of 54	$10 \sqrt{6} + \sqrt{48} - 8 \sqrt{3} + \sqrt{54}$
6230	Simplify the Radical Expression	cube root of (x^6)/27	$\sqrt[3]{\frac{x^{6}}{27}}$
6231	Simplify	fourth root of 7^5* fourth root of 7	$\sqrt[4]{7^{5}} \cdot \sqrt[4]{7}$
6232	Solve for x	f^-1((3+x)/(x-2))=x+1	$f^{- 1} (\frac{3 + x}{x - 2}) = x + 1$
6233	Find the Product	square root of 13* ninth root of 13	$\sqrt{13} \cdot \sqrt[9]{13}$
6234	Solve for x	3 square root of x-2x=-5	$3 \sqrt{x} - 2 x = - 5$
6235	Solve for k	square root of k+2-x=0	$\sqrt{k + 2} - x = 0$
6236	Simplify	25x^2+16-40x-64y^2	$25 x^{2} + 16 - 40 x - 64 y^{2}$
6237	Simplify	4x^2y*-3x^-5y^2	$4 x^{2} y \cdot - 3 x^{- 5} y^{2}$
6238	Find Where Increasing/Decreasing	x^4+8x^3+16x^2	$x^{4} + 8 x^{3} + 16 x^{2}$
6239	Rationalize the Denominator	(x^2-x+5)/( square root of x)	$\frac{x^{2} - x + 5}{\sqrt{x}}$
6240	Evaluate the Integral	integral from 0 to 1 of (e^(-x)+e^x)/(e^x) with respect to x	$\int_{0}^{1} \frac{e^{- x} + e^{x}}{e^{x}} d x$
6241	Evaluate the Integral	integral from 0 to 1 of (e^(-x)+e^x)/(e^(-x)) with respect to x	$\int_{0}^{1} \frac{e^{- x} + e^{x}}{e^{- x}} d x$
6242	Evaluate	mg=3	$mg = 3$
6243	Solve the System of Equations	x^3+y^3=126 x^2-xy+y^2=21	$x^{3} + y^{3} = 126$ $x^{2} - x y + y^{2} = 21$
6244	Solve for x	4 1/2<=1.2x	$4 \frac{1}{2} \leq 1.2 x$
6245	Simplify	(-3- square root of 2)/(3 square root of 17)	$\frac{- 3 - \sqrt{2}}{3 \sqrt{17}}$
6246	Evaluate	y=e^-2	$y = e^{- 2}$
6247	Simplify	(2s^2-5st-t^2)-(s^2+7st-t^2)	$(2 s^{2} - 5 s t - t^{2}) - (s^{2} + 7 s t - t^{2})$
6248	Evaluate	15(12/3)-7^2-2*7	$15 (\frac{12}{3}) - 7^{2} - 2 \cdot 7$
6249	Simplify	square root of 16+ square root of 40	$\sqrt{16} + \sqrt{40}$
6250	Find the Domain	(2y-3x)/(xy)	$\frac{2 y - 3 x}{x y}$
6251	Write in Exponential Form	( fourth root of -y)^4	${(\sqrt[4]{- y})}^{4}$
6252	Simplify	(i+2)/(i-2)	$\frac{i + 2}{i - 2}$
6253	Simplify	x/(x-y)-y/(x+y)	$\frac{x}{x - y} - \frac{y}{x + y}$
6254	Simplify	( square root of 625x^9y^2)/( square root of 5x^4)	$\frac{\sqrt{625 x^{9} y^{2}}}{\sqrt{5 x^{4}}}$
6255	Solve the System of Equations	b=3/4a a+b=21	$b = \frac{3}{4} a$ $a + b = 21$
6256	Solve for p	(p-4.6)/5.7=6.1/2	$\frac{p - 4.6}{5.7} = \frac{6.1}{2}$
6257	Find All Complex Solutions	7x^4=56	$7 x^{4} = 56$
6258	Write in Slope-Intercept Form	-x+y<-7	$- x + y < - 7$
6259	Factor	12j^2k^3-20hj	$12 j^{2} k^{3} - 20 h j$
6260	Divide Using Synthetic Division	(2x^3-x^2-18x+32)/(2x-6)	$\frac{2 x^{3} - x^{2} - 18 x + 32}{2 x - 6}$
6261	Simplify	(4x-6x^2-7)-(2+7x-5x^2)	$(4 x - 6 x^{2} - 7) - (2 + 7 x - 5 x^{2})$
6262	Find the Antiderivative	(2x-1)/((x+1)^2)	$\frac{2 x - 1}{{(x + 1)}^{2}}$
6263	Simplify	((b^(3/5))/(b^(1/10)))	$(\frac{b^{\frac{3}{5}}}{b^{\frac{1}{10}}})$
6264	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-4x^2-9x^5+7x^3+4x^4	$f (x) = - 4 x^{2} - 9 x^{5} + 7 x^{3} + 4 x^{4}$
6265	Simplify	(w^7)/( fifth root of z^13)	$\frac{w^{7}}{\sqrt[5]{z^{13}}}$
6266	Simplify	( square root of 12x^5y^4)/( square root of 3x^4y^4)	$\frac{\sqrt{12 x^{5} y^{4}}}{\sqrt{3 x^{4} y^{4}}}$
6267	Determine if Odd, Even, or Neither	g(X)=-6x^4+3x^2	$g (X) = - 6 x^{4} + 3 x^{2}$
6268	Write in Slope-Intercept Form	3x+y<=-5	$3 x + y \leq - 5$
6269	Simplify	(3x^3+4-2x)+(2x^2-x+6)	$(3 x^{3} + 4 - 2 x) + (2 x^{2} - x + 6)$
6270	Simplify	(-6x^2y^8+12xy^3-36xy^2)/(6xy^2)	$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$
6271	Find the Inverse	y+3=2^x	$y + 3 = 2^{x}$
6272	Graph	y<=2x+2 y>=1/5x	$y \leq 2 x + 2$ $y \geq \frac{1}{5} x$
6273	Divide	(-3/7)÷(1/2)	$- \frac{3}{7} \div \frac{1}{2}$
6274	Evaluate the Integral	integral of 1/( square root of 8+2x-x^2) with respect to x	$\int \frac{1}{\sqrt{8 + 2 x - x^{2}}} d x$
6275	Find the Quotient	(2x^2-3x-5)÷(x+1)	$(2 x^{2} - 3 x - 5) \div (x + 1)$
6276	Solve for x	(x+10)/2=7(x-1)	$\frac{x + 10}{2} = 7 (x - 1)$
6277	Solve for w	8-5(-10w-8)=-2(-8w-7)	$8 - 5 (- 10 w - 8) = - 2 (- 8 w - 7)$
6278	Factor	8x^3-27=0	$8 x^{3} - 27 = 0$
6279	Simplify	4- square root of 81+(2(4+3^2))÷(1/2)	$4 - \sqrt{81} + 2 (4 + 3^{2}) \div \frac{1}{2}$
6280	Find the Antiderivative	(sin(x))/(1+3cos(x))	$\frac{\sin (x)}{1 + 3 \cos (x)}$
6281	Find the Exact Value	4- square root of 81+(2(4+3^2))÷(1/2)	$4 - \sqrt{81} + 2 (4 + 3^{2}) \div \frac{1}{2}$
6282	Solve for D	S=D/T	$S = \frac{D}{T}$
6283	Solve for x	x+x/4=13	$x + \frac{x}{4} = 13$
6284	Solve for m	4 square root of 5m-20=16	$4 \sqrt{5 m - 20} = 16$
6285	Find Trig Functions Using Identities	sec(theta)=- square root of 10 , cot(theta)>0	$\sec (θ) = - \sqrt{10}$ , $\cot (θ) > 0$
6286	Evaluate	((q^6)^-2)/(q^-16)	$\frac{{(q^{6})}^{- 2}}{q^{- 16}}$
6287	Divide	(30c^2+19ac-63a^2)/(6c-7a)	$\frac{30 c^{2} + 19 a c - 63 a^{2}}{6 c - 7 a}$
6288	Solve the Inequality for x	y<3x+1	$y < 3 x + 1$
6289	Simplify the Radical Expression	1/( cube root of 12)	$\frac{1}{\sqrt[3]{12}}$
6290	Solve for q	20-16q=-5q-20-9q	$20 - 16 q = - 5 q - 20 - 9 q$
6291	Solve the System of Equations	1/4x+1/3y=1/12 1/4(-x+y)=-5/4	$\frac{1}{4} x + \frac{1}{3} y = \frac{1}{12}$ $\frac{1}{4} (- x + y) = - \frac{5}{4}$
6292	Evaluate the Integral	integral from 0 to 1 of (e^(-x)+1)/(e^(-x)) with respect to x	$\int_{0}^{1} \frac{e^{- x} + 1}{e^{- x}} d x$
6293	Simplify the Matrix	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
6294	Simplify	((2xy^3)^2)^3	${({(2 x y^{3})}^{2})}^{3}$
6295	Simplify	(2x+4)/((2x+1)(3x-4))+(x-2)/((2x+1)(3x-4))	$\frac{2 x + 4}{(2 x + 1) (3 x - 4)} + \frac{x - 2}{(2 x + 1) (3 x - 4)}$
6296	Graph	x+y<=-1 x+y>=3	$x + y \leq - 1$ $x + y \geq 3$
6297	Find the Degree, Leading Term, and Leading Coefficient	4x^3-x^2-(x^5)/9+5x+1	$4 x^{3} - x^{2} - \frac{x^{5}}{9} + 5 x + 1$
6298	Solve for x	5+30=x+10	$5 + 30 = x + 10$
6299	Solve for x	2^(x-1)*4^(2x+1)=64	$2^{x - 1} \cdot 4^{2 x + 1} = 64$
6300	Simplify	1÷( square root of x- square root of y)	$1 \div (\sqrt{x} - \sqrt{y})$