Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25101	Simplify	(5- square root of 5x)^2	${(5 - \sqrt{5 x})}^{2}$
25102	Find the Derivative - d/dt	(80sin(0.6t))/t+15	$\frac{80 \sin (0.6 t)}{t} + 15$
25103	Evaluate the Function	g(-4)=ax^2+24	$g (- 4) = a x^{2} + 24$
25104	Solve Using the Quadratic Formula	x^2+4x+20=12x-5	$x^{2} + 4 x + 20 = 12 x - 5$
25105	Find the x and y Intercepts	f(x)=(x^2-9)/(2x^2+1)	$f (x) = \frac{x^{2} - 9}{2 x^{2} + 1}$
25106	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+23x^2+30x+25 is divided by 4x+5	Use the long division method to find the result when $12 x^{3} + 23 x^{2} + 30 x + 25$ is divided by $4 x + 5$
25107	Find the Slope	(0,-2) and (3,4)	$(0, - 2)$ and $(3, 4)$
25108	Evaluate	(1/4)^(x+1)=32	${(\frac{1}{4})}^{x + 1} = 32$
25109	Graph	21>=3(a-7)+9	$21 \geq 3 (a - 7) + 9$
25110	Find the Critical Points	f(x)=- square root of x-3+2	$f (x) = - \sqrt{x - 3} + 2$
25111	Convert from Degrees to Radians	-225deg	$- 225$ degrees
25112	Simplify	24(n/2-2/3)	$24 (\frac{n}{2} - \frac{2}{3})$
25113	Multiply	(x-c)(x+c)(x^2-c^2)	$(x - c) (x + c) (x^{2} - c^{2})$
25114	Simplify	-3x+ square root of 25x^2	$- 3 x + \sqrt{25 x^{2}}$
25115	Evaluate	(cot((3pi)/4)-cot(pi/4))/((3pi)/4-pi/4)	$\frac{\cot (\frac{3 π}{4}) - \cot (\frac{π}{4})}{\frac{3 π}{4} - \frac{π}{4}}$
25116	Find h(g(a))	h(a)=3a-5 g(a)=4a-3	$h (a) = 3 a - 5$ $g (a) = 4 a - 3$
25117	Solve for x	-6=-9/x	$- 6 = - \frac{9}{x}$
25118	Solve for x	6x=-12x^2	$6 x = - 12 x^{2}$
25119	Find the Derivative - d/dx	y=1/3cos(2x)^3	$y = \frac{1}{3} \cos^{3} (2 x)$
25120	Solve for x	-1/2x^2=-6x+20	$- \frac{1}{2} x^{2} = - 6 x + 20$
25121	Evaluate	tan(x)^2-(sin(x)^2)/(cot(x)^2)	$\tan^{2} (x) - \frac{\sin^{2} (x)}{\cot^{2} (x)}$
25122	Evaluate	6e^(4x)-2=3	$6 e^{4 x} - 2 = 3$
25123	Solve for x	2/x-3=26/x	$\frac{2}{x} - 3 = \frac{26}{x}$
25124	Graph	2y=3/4x-1/2	$2 y = \frac{3}{4} x - \frac{1}{2}$
25125	Simplify	(3/5d^3)(5/3d^5)	$(\frac{3}{5} d^{3}) (\frac{5}{3} d^{5})$
25126	Simplify	(2 square root of 4)(- square root of 9)(2 square root of 25)	$(2 \sqrt{4}) (- \sqrt{9}) (2 \sqrt{25})$
25127	Evaluate	square root of 3-2x=x	$\sqrt{3 - 2 x} = x$
25128	Simplify the Radical Expression	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{\frac{- 1}{3}}}$
25129	Find the Exact Value	arcsin(sec(pi))	$\arcsin (\sec (π))$
25130	Simplify	1/(81^(-3/4))	$\frac{1}{81^{- \frac{3}{4}}}$
25131	Convert to a Decimal	190deg	$190$ degrees
25132	Find the Cotangent Given the Point	(( square root of 7)/3,( square root of 2)/3)	$(\frac{\sqrt{7}}{3}, \frac{\sqrt{2}}{3})$
25133	Simplify	x(x^(-1/2))	$x (x^{- \frac{1}{2}})$
25134	Evaluate the Integral	integral of (x^2)/(1-x) with respect to x	$\int \frac{x^{2}}{1 - x} d x$
25135	Simplify	-17b+a-23b+24a-10	$- 17 b + a - 23 b + 24 a - 10$
25136	Solve the Inequality for x	5-3/4x<=6	$5 - \frac{3}{4} x \leq 6$
25137	Evaluate	(4(-2)+4(3+(-4))^2)/(3-1)	$\frac{4 (- 2) + 4 {(3 + (- 4))}^{2}}{3 - 1}$
25138	Simplify	v/(v^0)	$\frac{v}{v^{0}}$
25139	Find the Product	cube root of 4* cube root of 16	$\sqrt[3]{4} \cdot \sqrt[3]{16}$
25140	Solve the Function Operation	f(x)=-(x+2)^2+3 if x!=-1; -4 if x=-1 Find f(1)	$f (x) = {\begin{cases} - {(x + 2)}^{2} + 3 & x \neq - 1 \\ - 4 & x = - 1 \end{cases}$ Find $f (1)$
25141	Solve for g	7/8(f-g)=d	$\frac{7}{8} (f - g) = d$
25142	Find Amplitude, Period, and Phase Shift	y=2cot(4x-pi)-2	$y = 2 \cot (4 x - π) - 2$
25143	Solve for θ	sin(theta)<0	$\sin (θ) < 0$
25144	Simplify	(x-7)/(x^2-16)-(x-1)/(16-x^2)	$\frac{x - 7}{x^{2} - 16} - \frac{x - 1}{16 - x^{2}}$
25145	Find da/dr	a=pir^2	$a = π r^{2}$
25146	Find the Derivative - d/ds	d/(ds)((a^2-s^2)/( square root of a^2+s^2))	$\frac{d}{d s} (\frac{a^{2} - s^{2}}{\sqrt{a^{2} + s^{2}}})$
25147	Solve for x	1/(x-2)-5=4/(x^2-4)	$\frac{1}{x - 2} - 5 = \frac{4}{x^{2} - 4}$
25148	Find the Antiderivative	f(x)=1/(x^2)-10x^4+3	$f (x) = \frac{1}{x^{2}} - 10 x^{4} + 3$
25149	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+25x^2+26x+8 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 25 x^{2} + 26 x + 8$ is divided by $3 x + 2$
25150	Simplify	3/4(8x^2+1)+3x^2+1/4	$\frac{3}{4} (8 x^{2} + 1) + 3 x^{2} + \frac{1}{4}$
25151	Solve the Rational Equation for v	square root of v-5 = square root of 23-v	$\sqrt{v - 5} = \sqrt{23 - v}$
25152	Evaluate	(-7-8)/(7-3)	$\frac{- 7 - 8}{7 - 3}$
25153	Simplify	((2a^5b^3)/(a^3a^-2))^3	${(\frac{2 a^{5} b^{3}}{a^{3} a^{- 2}})}^{3}$
25154	Simplify	(112/7)^(-1/4)	${(\frac{112}{7})}^{- \frac{1}{4}}$
25155	Solve the Inequality for x	2x^2+20x+11>7x+5	$2 x^{2} + 20 x + 11 > 7 x + 5$
25156	Find the Product	(a^2-2)(a^4+2a^2+4)	$(a^{2} - 2) (a^{4} + 2 a^{2} + 4)$
25157	Find the Asymptotes	((x^2+x-5)/(7x^3+7x^2+4x-2))	$(\frac{x^{2} + x - 5}{7 x^{3} + 7 x^{2} + 4 x - 2})$
25158	Simplify	fourth root of (x^2+2x+1)^2	$\sqrt[4]{{(x^{2} + 2 x + 1)}^{2}}$
25159	Determine if True	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))=csc(theta)sec(theta)	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)} = \csc (θ) \sec (θ)$
25160	Graph	y=1+5/2 square root of x-1	$y = 1 + \frac{5}{2} \sqrt{x - 1}$
25161	Simplify	((6x^2+4x-2)/(3x^2-19x+20))÷((2x^2-4x-6)/(3x^2-7x+4))	$\frac{6 x^{2} + 4 x - 2}{3 x^{2} - 19 x + 20} \div \frac{2 x^{2} - 4 x - 6}{3 x^{2} - 7 x + 4}$
25162	Find the Derivative - d/dx	xe^(-x/2)	$x e^{- \frac{x}{2}}$
25163	Find the Exact Value	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
25164	Solve for y	7/2=3/y-4	$\frac{7}{2} = \frac{3}{y} - 4$
25165	Divide	( square root of 7)/( square root of 3- square root of 2)	$\frac{\sqrt{7}}{\sqrt{3} - \sqrt{2}}$
25166	Combine Like Terms	15x-(x-4)	$15 x - (x - 4)$
25167	Find dy/dx	-4y^3-y^2=3+5x^2	$- 4 y^{3} - y^{2} = 3 + 5 x^{2}$
25168	Simplify	(x^2+9x+20)/(8x+16)*(4x^2+16x+16)/(x^2-25)	$\frac{x^{2} + 9 x + 20}{8 x + 16} \cdot \frac{4 x^{2} + 16 x + 16}{x^{2} - 25}$
25169	Solve the System of Inequalities	3x+1<5x+7 and -2x+5<=-5x-10	$3 x + 1 < 5 x + 7$ and $- 2 x + 5 \leq - 5 x - 10$
25170	Solve the Absolute Value Inequality for x	(2\|x-3\|)/5=6	$\frac{2 \| x - 3 \|}{5} = 6$
25171	Find the Inverse	f(x)=3/4 square root of x+1	$f (x) = \frac{3}{4} \sqrt{x + 1}$
25172	Simplify	m cube root of 192m^5	$m \sqrt[3]{192 m^{5}}$
25173	Find the Quadrant of the Angle	(-5pi)/2	$\frac{- 5 π}{2}$
25174	Evaluate Using the Given Value	Evaluate 7j+5-8k when j=0.5 and k=0.25	Evaluate $7 j + 5 - 8 k$ when $j = 0.5$ and $k = 0.25$
25175	Find Where Increasing/Decreasing	-3/5x^5+9x^4-32x^3+49	$- \frac{3}{5} x^{5} + 9 x^{4} - 32 x^{3} + 49$
25176	Add	(3x)/(2-x)+5/(x-2)	$\frac{3 x}{2 - x} + \frac{5}{x - 2}$
25177	Find dy/dx	y=sin(1/x)	$y = \sin (\frac{1}{x})$
25178	Write in Standard Form	y=1+2x^6-4x^2-2x^6	$y = 1 + 2 x^{6} - 4 x^{2} - 2 x^{6}$
25179	Find the Exact Value	pi/2+pi/4	$\frac{π}{2} + \frac{π}{4}$
25180	Find dy/dx	4x^2-y^2=7x-5	$4 x^{2} - y^{2} = 7 x - 5$
25181	Solve for h	A=1/2h(b_1+b_2) for h	$A = \frac{1}{2} h (b_{1} + b_{2})$ for $h$
25182	Write in Standard Form	(7-3i)+(x-2i)^2-(4i+2x^2)	$(7 - 3 i) + {(x - 2 i)}^{2} - (4 i + 2 x^{2})$
25183	Evaluate the Integral	integral of (x+3)/(4x+4) with respect to x	$\int \frac{x + 3}{4 x + 4} d x$
25184	Solve for y	y=5.45+1.05(x+7)	$y = 5.45 + 1.05 (x + 7)$
25185	Write in y=mx+b Form	(-8,8) and (1,-10)	$(- 8, 8)$ and $(1, - 10)$
25186	Find the Asymptotes	f(x)=-2/(3(x-5))+4	$f (x) = - \frac{2}{3 (x - 5)} + 4$
25187	Find the GCF	(5x)/12	$\frac{5 x}{12}$
25188	Simplify	(x+3)/4+(x+2)/4	$\frac{x + 3}{4} + \frac{x + 2}{4}$
25189	Solve for x	x+3 = square root of -20+12x+3	$x + 3 = \sqrt{- 20 + 12 x} + 3$
25190	Write in Exponential Form	sixth root of 27^2	$\sqrt[6]{27^{2}}$
25191	Solve for x	x-2(x+1)+3(x+2)=x-4	$x - 2 (x + 1) + 3 (x + 2) = x - 4$
25192	Factor	16x^2y-4xy^2-5x^2y+10xy^2	$16 x^{2} y - 4 x y^{2} - 5 x^{2} y + 10 x y^{2}$
25193	Find the Slope	The slope of the line passing through the points (-6,4) and (-6,12) is	The slope of the line passing through the points $(- 6, 4)$ and $(- 6, 12)$ is
25194	Simplify	square root of cube root of 8r^3	$\sqrt{\sqrt[3]{8 r^{3}}}$
25195	Solve for t	E=-2.4t+75	$E = - 2.4 t + 75$
25196	Evaluate	40% of 90	$40 %$ of $90$
25197	Simplify	2yx^-1*(x^2)^3	$2 y x^{- 1} \cdot {(x^{2})}^{3}$
25198	Expand Using Pascal's Triangle	(2x+1/(x^3))^8	${(2 x + \frac{1}{x^{3}})}^{8}$
25199	Solve the Rational Equation for x	square root of 3x+4=1+ square root of 3x-11	$\sqrt{3 x + 4} = 1 + \sqrt{3 x - 11}$
25200	Solve for b	cube root of b+5=4	$\sqrt[3]{b} + 5 = 4$