Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10001	Find the Maximum/Minimum Value	y=4x^3-3x^2	$y = 4 x^{3} - 3 x^{2}$
10002	Evaluate	(4.5*10^4)÷(300)	$(4.5 \cdot 10^{4}) \div (300)$
10003	Find the Derivative - d/dz	y = fifth root of z	$y = \sqrt[5]{z}$
10004	Simplify the Radical Expression	3 square root of 18w^7*10 square root of 4w^9	$3 \sqrt{18 w^{7}} \cdot 10 \sqrt{4 w^{9}}$
10005	Expand Using Sum/Difference Formulas	cos(u+2pi)	$\cos (u + 2 π)$
10006	Simplify	cos(theta)sec(theta)-(cos(theta))/(sec(theta))	$\cos (θ) \sec (θ) - \frac{\cos (θ)}{\sec (θ)}$
10007	Solve for x	-3=x^2-4x	$- 3 = x^{2} - 4 x$
10008	Simplify the Radical Expression	fourth root of cube root of 16	$\sqrt[4]{\sqrt[3]{16}}$
10009	Find the Parallel Line	Find the equation of the line parallel to y=-3x+7 that goes through the point (1,3)	Find the equation of the line parallel to $y = - 3 x + 7$ that goes through the point $(1, 3)$
10010	Evaluate	square root of x+8=3	$\sqrt{x + 8} = 3$
10011	Solve for v	square root of 2v-7=v-3	$\sqrt{2 v - 7} = v - 3$
10012	Solve for x	(4x+9)/9-(2x-9)/9=(24x+16)/24-x	$\frac{4 x + 9}{9} - \frac{2 x - 9}{9} = \frac{24 x + 16}{24} - x$
10013	Simplify	-(2x^-2yz)^0	$- {(2 x^{- 2} y z)}^{0}$
10014	Simplify	2/(4+4 square root of 3)	$\frac{2}{4 + 4 \sqrt{3}}$
10015	Simplify	4(5/4x+3/2)	$4 (\frac{5}{4} x + \frac{3}{2})$
10016	Solve for x	(x^2+5x+25)^(3/2)=343 ?	${(x^{2} + 5 x + 25)}^{\frac{3}{2}} = 343$ ?
10017	Evaluate	(x^5y^6)/(xy^2)	$\frac{x^{5} y^{6}}{x y^{2}}$
10018	Solve the Rational Equation for x	square root of x-2 = square root of 3x-14	$\sqrt{x - 2} = \sqrt{3 x - 14}$
10019	Simplify	4x^2+6x+8+x+2	$4 x^{2} + 6 x + 8 + x + 2$
10020	Solve for x	x^2-2xy+y^2=0	$x^{2} - 2 x y + y^{2} = 0$
10021	Convert to a Decimal	21 3/4m in 2 1/2hr	$21 \frac{3}{4}$ $meters$ in $2 \frac{1}{2}$ $hours$
10022	Solve for b	5b+8-2b=7b	$5 b + 8 - 2 b = 7 b$
10023	Solve for x	x=(-10+- square root of 10^2-456)/(2*5)	$x = \frac{- 10 + - \sqrt{10^{2} - 4 \cdot 5 \cdot 6}}{2 \cdot 5}$
10024	Solve the Inequality for m	m+5>=-1	$m + 5 \geq - 1$
10025	Graph	y=2-3cos(pi/2(x+2))	$y = 2 - 3 \cos (\frac{π}{2} (x + 2))$
10026	Write in Slope-Intercept Form	x-y>=8	$x - y \geq 8$
10027	Simplify	((4^-2)^-1)/(4^-1)	$\frac{{(4^{- 2})}^{- 1}}{4^{- 1}}$
10028	Simplify	((2^2)/(2^3))^5	${(\frac{2^{2}}{2^{3}})}^{5}$
10029	Evaluate the Limit	limit as x approaches -3 of -3/(x^2)	$lim_{x \to - 3} - \frac{3}{x^{2}}$
10030	Write in Slope-Intercept Form	2y+x-4=0	$2 y + x - 4 = 0$
10031	Graph	x<-1/2	$x < - \frac{1}{2}$
10032	Simplify	cube root of 216x^5* fourth root of 81x^7	$\sqrt[3]{216 x^{5}} \cdot \sqrt[4]{81 x^{7}}$
10033	Find the Concavity	f(x)=-1/15x^6+6x^4	$f (x) = - \frac{1}{15} x^{6} + 6 x^{4}$
10034	Evaluate	square root of 3x^2y* cube root of 27x^3y^2	$\sqrt{3 x^{2} y} \cdot \sqrt[3]{27 x^{3} y^{2}}$
10035	Write in Standard Form	2x-5x^3-7-4x^2	$2 x - 5 x^{3} - 7 - 4 x^{2}$
10036	Find the Roots (Zeros)	16x^4-81=0	$16 x^{4} - 81 = 0$
10037	Describe the Transformation	y=- square root of x-2	$y = - \sqrt{x} - 2$
10038	Simplify	2(4.5(x-2)-0.5x)	$2 (4.5 (x - 2) - 0.5 x)$
10039	Find the Derivative - d/dx	y=(11x^2)/(4x)	$y = \frac{11 x^{2}}{4 x}$
10040	Evaluate the Integral	integral of 10/((1+x)^2) with respect to x	$\int \frac{10}{{(1 + x)}^{2}} d x$
10041	Simplify	( square root of 35x^5)/( square root of 7x^4)	$\frac{\sqrt{35 x^{5}}}{\sqrt{7 x^{4}}}$
10042	Find the Quotient	(x^5+3x-7+2x^2)/(x^2-3x-1)	$\frac{x^{5} + 3 x - 7 + 2 x^{2}}{x^{2} - 3 x - 1}$
10043	Simplify	(6j^2k-9jk^2)÷(3jk)	$(6 j^{2} k - 9 j k^{2}) \div (3 j k)$
10044	Add	(-3a^3+2a^2-4)+(a^3-3a^2-5a+7)	$(- 3 a^{3} + 2 a^{2} - 4) + (a^{3} - 3 a^{2} - 5 a + 7)$
10045	Solve for f	-18f+20=-20-15f-20	$- 18 f + 20 = - 20 - 15 f - 20$
10046	Convert from Radians to Degrees	11rad	$11$ radians
10047	Combine Like Terms	12g+6f-2f-5g-4f	$12 g + 6 f - 2 f - 5 g - 4 f$
10048	Simplify the Radical Expression	square root of (a^10)/(b^6)	$\sqrt{\frac{a^{10}}{b^{6}}}$
10049	Graph	y=sec(2)(x+pi)	$y = \sec (2) (x + π)$
10050	Solve for x	square root of square root of x+4 = square root of x+2	$\sqrt{\sqrt{x + 4}} = \sqrt{x + 2}$
10051	Find the Antiderivative	f(x)=12/17	$f (x) = \frac{12}{17}$
10052	Evaluate	( fourth root of 4)/( fourth root of 27)	$\frac{\sqrt[4]{4}}{\sqrt[4]{27}}$
10053	Simplify	(4^-1(-3)^-2)/(6^-2)	$\frac{4^{- 1} {(- 3)}^{- 2}}{6^{- 2}}$
10054	Evaluate the Integral	integral from 0 to 1 of (e^t+5e^(5t)) with respect to t	$\int_{0}^{1} (e^{t} + 5 e^{5 t}) d t$
10055	Simplify the Radical Expression	square root of 5/(3b)	$\sqrt[2]{\frac{5}{3 b}}$
10056	Solve by Substitution	4x+2y=6 and 3x+y=9	$4 x + 2 y = 6$ and $3 x + y = 9$
10057	Simplify	3x1/(x^-4)x^-3	$3 x \cdot \frac{1}{x^{- 4}} \cdot x^{- 3}$
10058	Evaluate	80000/((4.5)^(3/2))e^(-(30/4.5+4.5-2))	$\frac{80000}{{(4.5)}^{\frac{3}{2}}} e^{- (\frac{30}{4.5} + 4.5 - 2)}$
10059	Find All Complex Solutions	\|x-3\|+1=0	$\| x - 3 \| + 1 = 0$
10060	Solve for t	s=-16t^2+v_0t	$s = - 16 t^{2} + v_{0} t$
10061	Simplify	( cube root of 2t^6)( cube root of 6t^8)	$(\sqrt[3]{2 t^{6}}) (\sqrt[3]{6 t^{8}})$
10062	Identify the Sequence	3^(1/3) , 3^(2/3) , 3^1 , 3^(4/3)	$3^{\frac{1}{3}}$ , $3^{\frac{2}{3}}$ , $3^{1}$ , $3^{\frac{4}{3}}$
10063	Simplify	(3x+7)*8x^2	$(3 x + 7) \cdot 8 x^{2}$
10064	Simplify	(4e^x)/(e^(4x))	$\frac{4 e^{x}}{e^{4 x}}$
10065	Simplify	(sin(x)^2)/(cot(x))+(cot(x))/(csc(x)^2)	$\frac{\sin^{2} (x)}{\cot (x)} + \frac{\cot (x)}{\csc^{2} (x)}$
10066	Find the Cosecant Given the Point	(3 1/2,-2 square root of 15)	$(3 \frac{1}{2}, - 2 \sqrt{15})$
10067	Write as a Single Logarithm	log of x+5 log of y- log of m	$\log (x) + 5 \log (y) - \log (m)$
10068	Factor	49y^2-x^2+6x-9	$49 y^{2} - x^{2} + 6 x - 9$
10069	Solve the Inequality for x	x^2>-2x	$x^{2} > - 2 x$
10070	Graph	3x-y>=2 3x-y<-5	$3 x - y \geq 2$ $3 x - y < - 5$
10071	Multiply	square root of 3* cube root of 27	$\sqrt{3} \cdot \sqrt[3]{27}$
10072	Evaluate	f(2)-f(-2)	$f (2) - f (- 2)$
10073	Write in Slope-Intercept Form	(-2,-4) and (-3,-3)	$(- 2, - 4)$ and $(- 3, - 3)$
10074	Add	(3x^3+6x^2-5x+5)+(-2x^3+3x^2-6)	$(3 x^{3} + 6 x^{2} - 5 x + 5) + (- 2 x^{3} + 3 x^{2} - 6)$
10075	Find the x and y Intercepts	f(x)=-1/8(4)^(x+3)+6	$f (x) = - \frac{1}{8} {(4)}^{x + 3} + 6$
10076	Write in Standard Form	3p(np-z)	$3 p (n p - z)$
10077	Solve the System of Equations	y=-x^2+5x+1 2x+y=7	$y = - x^{2} + 5 x + 1$ $2 x + y = 7$
10078	Simplify	3/(5x^2)*(7x)/10	$\frac{3}{5 x^{2}} \cdot \frac{7 x}{10}$
10079	Find All Complex Solutions	4a+2b=10	$4 a + 2 b = 10$
10080	Simplify	(p^3q)^-4	${(p^{3} q)}^{- 4}$
10081	Evaluate	plus or minus square root of 121	$\pm \sqrt{121}$
10082	Solve for c	2c-4=(4-2c)	$2 c - 4 = (4 - 2 c)$
10083	Solve the Function Operation	f(x)=x^3+6 ; find f^-1(x)	$f (x) = x^{3} + 6$ ; find $f^{- 1} (x)$
10084	Write in Standard Form	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
10085	Solve for x	-2=2^(x+1)-2	$- 2 = 2^{x + 1} - 2$
10086	Simplify	square root of 98x^4y^2-3x^2y square root of 2	$\sqrt{98 x^{4} y^{2}} - 3 x^{2} y \sqrt{2}$
10087	Write in Standard Form	x=-y^2+16y-69	$x = - y^{2} + 16 y - 69$
10088	Solve for l	l=54 square root of d^3	$l = 54 \sqrt{d^{3}}$
10089	Simplify	(p^2+q^2)(p^4-pq-q^4)	$(p^{2} + q^{2}) (p^{4} - p q - q^{4})$
10090	Simplify	((a+1)/a)/5	$\frac{\frac{a + 1}{a}}{5}$
10091	Find Where Increasing/Decreasing	f(x)=5+4x+x^2	$f (x) = 5 + 4 x + x^{2}$
10092	Simplify	(x^5y^4y^3z^4)/((x^2y^3)^2z^3)	$\frac{x^{5} y^{4} y^{3} z^{4}}{{(x^{2} y^{3})}^{2} z^{3}}$
10093	Find the LCM	6 and 7	$6$ and $7$
10094	Simplify	3 square root of 40a^3+2 square root of 160a^3-a square root of 360a	$3 \sqrt{40 a^{3}} + 2 \sqrt{160 a^{3}} - a \sqrt{360 a}$
10095	Factor	6bx-3by+2cx-cy+4dx-2dy	$6 b x - 3 b y + 2 c x - c y + 4 d x - 2 d y$
10096	Simplify	5+9x-7-4x-3x+6	$5 + 9 x - 7 - 4 x - 3 x + 6$
10097	Simplify	(-8xy^3)(5x^3y^2)+3x^4y^5	$(- 8 x y^{3}) (5 x^{3} y^{2}) + 3 x^{4} y^{5}$
10098	Simplify the Radical Expression	(4x)3/2	$(4 x) \frac{3}{2}$
10099	Evaluate the Integral	integral of x^2(2x-1)^2 with respect to x	$\int x^{2} {(2 x - 1)}^{2} d x$
10100	Simplify the Radical Expression	(-3 square root of 2)(-2 square root of 50)	$(- 3 \sqrt{2}) (- 2 \sqrt{50})$