Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3201	Simplify	sin(theta)cot(theta)sec(theta)	$\sin (θ) \cdot \cot (θ) \cdot \sec (θ)$
3202	Find the Roots (Zeros)	0=x^2(x+3)^4(x-1)	$0 = x^{2} {(x + 3)}^{4} (x - 1)$
3203	Determine if Odd, Even, or Neither	f(x)=e^(x^6-x)	$f (x) = e^{x^{6} - x}$
3204	Simplify	((2^0*5^2)/3)^0	${(\frac{2^{0} \cdot 5^{2}}{3})}^{0}$
3205	Evaluate	(1/(125^(2/3)))	$(\frac{1}{125^{\frac{2}{3}}})$
3206	Solve the System of Equations	3(2x-y)=24 -6x+8y=-14	$3 (2 x - y) = 24$ $- 6 x + 8 y = - 14$
3207	Simplify	2/(2x)-(6x)/(4y^2)	$\frac{2}{2 x} - \frac{6 x}{4 y^{2}}$
3208	Solve for x	2 = cube root of x	$2 = \sqrt[3]{x}$
3209	Simplify	( square root of x^3)/( cube root of y^5)	$\frac{\sqrt{x^{3}}}{\sqrt[3]{y^{5}}}$
3210	Find the First Term	a_n=((n+4)!)/((n+5)!)	$a_{n} = \frac{(n + 4)!}{(n + 5)!}$
3211	Find Amplitude, Period, and Phase Shift	y=3/2cos((pix)/2)	$y = \frac{3}{2} \cos (\frac{π x}{2})$
3212	Simplify	((3x^-5y^2)^0)/((4x^-3y^2)^-2)	$\frac{{(3 x^{- 5} y^{2})}^{0}}{{(4 x^{- 3} y^{2})}^{- 2}}$
3213	Solve the System of Inequalities	-3x-3y>=-18 -x<=-y	$- 3 x - 3 y \geq - 18$ $- x \leq - y$
3214	Simplify	((8x^-3y)^-1)/(2x^2y^-1)	$\frac{{(8 x^{- 3} y)}^{- 1}}{2 x^{2} y^{- 1}}$
3215	Simplify	(6a)/(x^2-x)*(2x-2)/(3ax)	$\frac{6 a}{x^{2} - x} \cdot \frac{2 x - 2}{3 a x}$
3216	Solve for y	y=x+5 , x=3	$y = x + 5$ , $x = 3$
3217	Evaluate	1/3xy+5/4xy^2-3/4xy+1/2xy^2-3x^2y+5/6x^2y	$\frac{1}{3} x y + \frac{5}{4} x y^{2} - \frac{3}{4} x y + \frac{1}{2} x y^{2} - 3 x^{2} y + \frac{5}{6} x^{2} y$
3218	Evaluate the Limit	limit as x approaches 4 of -x^3+13x^2-56x+83	$lim_{x \to 4} - x^{3} + 13 x^{2} - 56 x + 83$
3219	Simplify	-1.3f+0.4j-12-1+2.9f	$- 1.3 f + 0.4 j - 12 - 1 + 2.9 f$
3220	Find the Antiderivative	4x natural log of x	$4 x \ln (x)$
3221	Solve for x	cube root of x^2+5x = cube root of 5x-6	$\sqrt[3]{x^{2} + 5 x} = \sqrt[3]{5 x - 6}$
3222	Simplify	((x^(-1/2)y^2)^(-5/4))/(x^2y^(1/2))	$\frac{{(x^{- \frac{1}{2}} y^{2})}^{- \frac{5}{4}}}{x^{2} y^{\frac{1}{2}}}$
3223	Simplify	(ab-b)/a-(ab-a)/b-(a^2-b^2)/(ab)	$\frac{a b - b}{a} - \frac{a b - a}{b} - \frac{a^{2} - b^{2}}{a b}$
3224	Simplify	(5x-15x^2)/(2-6x)	$\frac{5 x - 15 x^{2}}{2 - 6 x}$
3225	Graph	g(x)=1/5 square root of x-3	$g (x) = \frac{1}{5} \sqrt{x - 3}$
3226	Solve for x	(x+2)-4=-5+4(x-1)	$(x + 2) - 4 = - 5 + 4 (x - 1)$
3227	Solve for b	-1/5b-2/5=-2	$- \frac{1}{5} b - \frac{2}{5} = - 2$
3228	Evaluate	(x^3y^-2)^4	${(x^{3} y^{- 2})}^{4}$
3229	Find the Domain and Range	y=arccos(x)-2	$y = \arccos (x) - 2$
3230	Simplify	5/(2x)+3/x+1/(3x)	$\frac{5}{2 x} + \frac{3}{x} + \frac{1}{3 x}$
3231	Evaluate the Limit	limit as x approaches 2 of square root of (2x^2-5x+7)/(x^2+5)	$lim_{x \to 2} \sqrt{\frac{2 x^{2} - 5 x + 7}{x^{2} + 5}}$
3232	Solve for k	(3 square root of 3)^2 = square root of k	${(3 \sqrt{3})}^{2} = \sqrt{k}$
3233	Solve for x	(x+3)/x+2=(x+5)/x	$\frac{x + 3}{x} + 2 = \frac{x + 5}{x}$
3234	Find the Third Derivative	f(x)=5x^2(x+47)	$f (x) = 5 x^{2} (x + 47)$
3235	Simplify	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
3236	Solve for x	17^(3(x+1))=17^x	$17^{3 (x + 1)} = 17^{x}$
3237	Convert to Radical Form	(5a^3b^2)2/3	$(5 a^{3} b^{2}) \frac{2}{3}$
3238	Graph	f(x)=-x/2+2	$f (x) = - \frac{x}{2} + 2$
3239	Simplify	5x^4(2x^3-6x^2+3)-3x^2(3x^4+4x^2-7x)	$5 x^{4} (2 x^{3} - 6 x^{2} + 3) - 3 x^{2} (3 x^{4} + 4 x^{2} - 7 x)$
3240	Graph	3x-y>=-1 2x+y>=5	$3 x - y \geq - 1$ $2 x + y \geq 5$
3241	Simplify	((2x)/27)÷((4x+20)/9)	$\frac{2 x}{27} \div \frac{4 x + 20}{9}$
3242	Find the Roots (Zeros)	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$
3243	Find the Derivative - d/dx	(x^2-3)e^(-x)	$(x^{2} - 3) e^{- x}$
3244	Simplify	(-16x)/7*14/(8x-16)	$\frac{- 16 x}{7} \cdot \frac{14}{8 x - 16}$
3245	Find the Exact Value	square root of 8+ square root of 32- square root of 2	$\sqrt{8} + \sqrt{32} - \sqrt{2}$
3246	Simplify	(8x)/(x^2-49)+5/(x^2-4x-21)	$\frac{8 x}{x^{2} - 49} + \frac{5}{x^{2} - 4 x - 21}$
3247	Graph	y<-1/6x+3y	$y < - \frac{1}{6} x + 3 y$
3248	Simplify	(d^2+4d+3)(d+1)^-1	$(d^{2} + 4 d + 3) {(d + 1)}^{- 1}$
3249	Solve the System of Equations	y+4x=3 y=-4x-1	$y + 4 x = 3$ $y = - 4 x - 1$
3250	Simplify	(4/(64^(5/6)))^(1/2)	${(\frac{4}{64^{\frac{5}{6}}})}^{\frac{1}{2}}$
3251	Find the Excluded Values	(3x^2-18x)/(x^2-2x-24)	$\frac{3 x^{2} - 18 x}{x^{2} - 2 x - 24}$
3252	Evaluate	square root of x+1=4	$\sqrt{x + 1} = 4$
3253	Evaluate the Integral	integral from 0 to 1 of (2x-1)(x+2) with respect to x	$\int_{0}^{1} (2 x - 1) (x + 2) d x$
3254	Solve for x	9/(4x)-5/6=-13/(12x)	$\frac{9}{4 x} - \frac{5}{6} = - \frac{13}{12 x}$
3255	Simplify	(7x)/9*(x^3)/7	$\frac{7 x}{9} \cdot \frac{x^{3}}{7}$
3256	Solve by Substitution	8x+2y=-12 and 5x-y=4	$8 x + 2 y = - 12$ and $5 x - y = 4$
3257	Evaluate the Integral	integral of 6^(2x)*2 with respect to x	$\int 6^{2 x} \cdot 2 d x$
3258	Find the Percentage Rate of Change	y=350(1+0.75)^t	$y = 350 {(1 + 0.75)}^{t}$
3259	Simplify	(x^2y^-3)/(x^-1y)	$\frac{x^{2} y^{- 3}}{x^{- 1} y}$
3260	Find the Domain	(3/2a^2-2ab+2/3b^2)/(1/4a^2-1/9b^2)+(6b)/(3/4a+1/2b)	$\frac{\frac{3}{2} a^{2} - 2 a b + \frac{2}{3} b^{2}}{\frac{1}{4} a^{2} - \frac{1}{9} b^{2}} + \frac{6 b}{\frac{3}{4} a + \frac{1}{2} b}$
3261	Evaluate	5(x-36)-2x=4(x-56)-547	$5 (x - 36) - 2 x = 4 (x - 56) - 547$
3262	Integrate By Parts	integral of x^3 natural log of (x)^2 with respect to x	$\int x^{3} \ln ({(x)}^{2}) d x$
3263	Find the Antiderivative	(x square root of x+ square root of x)/(x^2)	$\frac{x \sqrt{x} + \sqrt{x}}{x^{2}}$
3264	Simplify	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
3265	Simplify	7a^4b^-5*2a^2b	$7 a^{4} b^{- 5} \cdot 2 a^{2} b$
3266	Find the Derivative of the Integral	integral from 5 to square root of x of f(t) with respect to t=x^2	$\int_{5}^{\sqrt{x}} f (t) d t = x^{2}$
3267	Simplify	(c^(2/9))(c^(4/3))	$(c^{\frac{2}{9}}) (c^{\frac{4}{3}})$
3268	Simplify	( cube root of x^2* sixth root of x^4)^-3	${(\sqrt[3]{x^{2}} \cdot \sqrt[6]{x^{4}})}^{- 3}$
3269	Simplify	((x^0y^3)/(x^-2y))^3	${(\frac{x^{0} y^{3}}{x^{- 2} y})}^{3}$
3270	Simplify the Radical Expression	2 square root of 3+3 square root of 3	$2 \sqrt{3} + 3 \sqrt{3}$
3271	Find dy/dx	y=x^3-2x^2-6x+pi	$y = x^{3} - 2 x^{2} - 6 x + π$
3272	Find the Oxidation Numbers	(NH_4)_2S	${(N H_{4})}_{2} S$
3273	Find the Domain	(5y+3)/(2y+2)-(7y+4)/(3y+3)	$\frac{5 y + 3}{2 y + 2} - \frac{7 y + 4}{3 y + 3}$
3274	Graph	y>-2 y<=x+9	$y > - 2$ $y \leq x + 9$
3275	Solve for x	-3/4(x+2)=6	$- \frac{3}{4} (x + 2) = 6$
3276	Evaluate the Integral	integral from a to b of 1/(b-a)x with respect to x	$\int_{a}^{b} \frac{1}{b - a} x d x$
3277	Simplify	(b-c)^3+(c-a)^3+(a-b)^3	${(b - c)}^{3} + {(c - a)}^{3} + {(a - b)}^{3}$
3278	Find dy/dx	f(x,y)=x+y+xy	$f (x, y) = x + y + x y$
3279	Simplify	x/(x+3)+(17x)/(3x+9)	$\frac{x}{x + 3} + \frac{17 x}{3 x + 9}$
3280	Find All Complex Solutions	x^5=-48	$x^{5} = - 48$
3281	Solve for x	\|3x-1/2\|=1 1/2	$\| 3 x - \frac{1}{2} \| = 1 \frac{1}{2}$
3282	Simplify	square root of square root of 16r^4g^4p^4	$\sqrt{\sqrt{16 r^{4} g^{4} p^{4}}}$
3283	Simplify	(12-14x)/4*(6x+8)/(30-35x)	$\frac{12 - 14 x}{4} \cdot \frac{6 x + 8}{30 - 35 x}$
3284	Evaluate	2x+6y<=10	$2 x + 6 y \leq 10$
3285	Simplify	-2(3m^3+5m+6)+3m(2m^2+3m+1)	$- 2 (3 m^{3} + 5 m + 6) + 3 m (2 m^{2} + 3 m + 1)$
3286	Solve for x	10-2(2x+1)=4(x-2)	$10 - 2 (2 x + 1) = 4 (x - 2)$
3287	Simplify	square root of cube root of 49r^6s^4	$\sqrt{\sqrt[3]{49 r^{6} s^{4}}}$
3288	Simplify	4+3/7x-2-2/7x	$4 + \frac{3}{7} x - 2 - \frac{2}{7} x$
3289	Find the Roots (Zeros)	0=x^3(x+3)(x-1)^2	$0 = x^{3} (x + 3) {(x - 1)}^{2}$
3290	Solve for n	n-1 root of 27^5(x^9y^3)^2=243x^6y^2	$\sqrt[n - 1]{27^{5} {(x^{9} y^{3})}^{2}} = 243 x^{6} y^{2}$
3291	Find the Slope of the Tangent Line at (1/2,32)	f(t)=t^-5 ;, (1/2,32)	$f (t) = t^{- 5}$ ;, $(\frac{1}{2}, 32)$
3292	Simplify	2y-5y^23y^3	$2 y \cdot - 5 y^{2} \cdot 3 y^{3}$
3293	Solve for k	2k-3(4-k)=3k+4	$2 k - 3 (4 - k) = 3 k + 4$
3294	Solve for n	3xn-9=6y	$3 x n - 9 = 6 y$
3295	Find dy/dx	y=8x^-7+2x^5-5/(x^3)	$y = 8 x^{- 7} + 2 x^{5} - \frac{5}{x^{3}}$
3296	Find the Exact Value	tan(630 degrees )	$\tan (630 °)$
3297	Simplify	((2+(-5+4)-(-8))-2)	$((2 + (- 5 + 4) - (- 8)) - 2)$
3298	Simplify	( square root of 2)^( square root of 2)	${(\sqrt{2})}^{\sqrt{2}}$
3299	Simplify	3ab(4a-5b)+4b^2(2a^2+1)	$3 a b (4 a - 5 b) + 4 b^{2} (2 a^{2} + 1)$
3300	Find the Domain	-(25x^3y^3)/(14a^2b)*(-(21ab)/(10x^2y))	$- \frac{25 x^{3} y^{3}}{14 a^{2} b} \cdot (- \frac{21 a b}{10 x^{2} y})$