Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2201	Simplify	(2n-3)/(n+1)*(2n^2+5n+3)/(9-4n^2)	$\frac{2 n - 3}{n + 1} \cdot \frac{2 n^{2} + 5 n + 3}{9 - 4 n^{2}}$
2202	Solve for b	b-1.6÷4=-3	$b - 1.6 \div 4 = - 3$
2203	Simplify	(x^16y^0z^8)^(1/4)	${(x^{16} y^{0} z^{8})}^{\frac{1}{4}}$
2204	Solve by Substitution	y=-2x+18 y=8	$y = - 2 x + 18$ $y = 8$
2205	Simplify	5 square root of 13-3 square root of 13- square root of 13	$5 \sqrt{13} - 3 \sqrt{13} - \sqrt{13}$
2206	Solve the Inequality for d	-2>=-d/34	$- 2 \geq - \frac{d}{34}$
2207	Simplify	(2^(2/5))/2	$\frac{2^{\frac{2}{5}}}{2}$
2208	Solve for x	log base 4 of 2x+1+3=5	$\log_{4} (2 x + 1) + 3 = 5$
2209	Evaluate the Function	f(n)=10*2^n at n=5	$f (n) = 10 \cdot 2^{n}$ at $n = 5$
2210	Simplify	fifth root of (5m^7)/(16m^2)	$\sqrt[5]{\frac{5 m^{7}}{16 m^{2}}}$
2211	Simplify the Radical Expression	2 square root of 2+ square root of 2	$2 \sqrt{2} + \sqrt{2}$
2212	Simplify the Radical Expression	(x^(7/3))/(x^(2/3))	$\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}$
2213	Find the Concavity	f(x)=-1/6x^6+2x^5-5x^4	$f (x) = - \frac{1}{6} x^{6} + 2 x^{5} - 5 x^{4}$
2214	Evaluate the Integral	integral from 0 to 1 of 2x^2u(x) with respect to x=1	$\int_{0}^{1} 2 x^{2} u (x) d x = 1$
2215	Find the Derivative - d/dx	y=(3x^2)/2+1	$y = \frac{3 x^{2}}{2} + 1$
2216	Graph	f(x)=3/2 cube root of x+5	$f (x) = \frac{3}{2} \sqrt[3]{x} + 5$
2217	Evaluate the Summation	sum from i=1 to 12 of i+3	$\sum_{i = 1}^{12} i + 3$
2218	Solve for j	-18+j=20-j	$- 18 + j = 20 - j$
2219	Simplify	3 square root of ab*2 fourth root of ab	$3 \sqrt{a b} \cdot 2 \sqrt[4]{a b}$
2220	Solve for n	square root of -1-n = square root of 2n+17	$\sqrt{- 1 - n} = \sqrt{2 n + 17}$
2221	Evaluate	5(24^(1/3))-4*3^(1/3)	$5 (24^{\frac{1}{3}}) - 4 \cdot 3^{\frac{1}{3}}$
2222	Solve for f	5+2f=-3f-15	$5 + 2 f = - 3 f - 15$
2223	Solve for x	(e^(3x+2))/(e^x)=1	$\frac{e^{3 x + 2}}{e^{x}} = 1$
2224	Write in Standard Form	y+4=3(3x+3)	$y + 4 = 3 (3 x + 3)$
2225	Solve for f	20-f=19f-20	$20 - f = 19 f - 20$
2226	Find the Asymptotes	A(x)=4^(x-3)+1	$A (x) = 4^{x - 3} + 1$
2227	Evaluate	(2+- square root of 4-(4)6-5)/12	$\frac{2 + - \sqrt{4 - (4) \cdot 6 \cdot - 5}}{12}$
2228	Simplify	(x^4y^0)/(x^-2)	$\frac{x^{4} y^{0}}{x^{- 2}}$
2229	Solve for x	1/2x+1/3x-7=5/6x	$\frac{1}{2} x + \frac{1}{3} x - 7 = \frac{5}{6} x$
2230	Find the Antiderivative	x^2-3x+1/x	$x^{2} - 3 x + \frac{1}{x}$
2231	Rationalize the Denominator	( square root of 3+5)/(2 square root of 3)	$\frac{\sqrt{3} + 5}{2 \sqrt{3}}$
2232	Find Trig Functions Using Identities	sin(x)=( square root of 3)/2 , cos(x)=-1/2	$\sin (x) = \frac{\sqrt{3}}{2}$ , $\cos (x) = - \frac{1}{2}$
2233	Solve for x	5x(3x+4)-6x(2x-7)=3x(x+10)+4(4x+8)	$5 x (3 x + 4) - 6 x (2 x - 7) = 3 x (x + 10) + 4 (4 x + 8)$
2234	Simplify	(3i-1)/(2i-1)	$\frac{3 i - 1}{2 i - 1}$
2235	Find the Domain	(5p)/(2q-p)+(10q)/(p-2q)	$\frac{5 p}{2 q - p} + \frac{10 q}{p - 2 q}$
2236	Simplify	(2/(3+x))/(4(y+1))	$\frac{\frac{2}{3 + x}}{4 (y + 1)}$
2237	Solve for x	3=2/(7+x)	$3 = \frac{2}{7 + x}$
2238	Simplify	(-x^2+9xy)-(x^2+6xy-8y^2)	$(- x^{2} + 9 x y) - (x^{2} + 6 x y - 8 y^{2})$
2239	Find the Antiderivative	(cos(x))/(3+sin(x))	$\frac{\cos (x)}{3 + \sin (x)}$
2240	Graph	y>-5/2x-2 y<-2	$y > - \frac{5}{2} x - 2$ $y < - 2$
2241	Simplify	(3/4x^2)(4/5x^5)	$(\frac{3}{4} x^{2}) (\frac{4}{5} x^{5})$
2242	Simplify	(16x+8)/(-24x-12)	$\frac{16 x + 8}{- 24 x - 12}$
2243	Find the Inverse	f(x)=(x/3)^3+6	$f (x) = {(\frac{x}{3})}^{3} + 6$
2244	Multiply	(3y-5)(2y-7)(4y+1)	$(3 y - 5) (2 y - 7) (4 y + 1)$
2245	Solve for x	2 square root of x-4=- square root of x-1+4	$2 \sqrt{x - 4} = - \sqrt{x - 1} + 4$
2246	Solve for x	x(8x^2-6x+3)-2x(4x^2-1)=-6x(x+5)+5(3x+4)	$x (8 x^{2} - 6 x + 3) - 2 x (4 x^{2} - 1) = - 6 x (x + 5) + 5 (3 x + 4)$
2247	Solve for d	l=54 square root of d^3	$l = 54 \sqrt{d^{3}}$
2248	Solve for x	3\|x+2\|>x+5	$3 \| x + 2 \| > x + 5$
2249	Solve for s	-13-16s=-15s-1	$- 13 - 16 s = - 15 s - 1$
2250	Solve the System of Inequalities	-2x-3<=y y-1<1/2x	$- 2 x - 3 \leq y$ $y - 1 < \frac{1}{2} x$
2251	Simplify	square root of cube root of 8000	$\sqrt{\sqrt[3]{8000}}$
2252	Evaluate	x^5=-48	$x^{5} = - 48$
2253	Simplify	4/9a(18b-9c+27)	$\frac{4}{9} a (18 b - 9 c + 27)$
2254	Solve for n	log base 4 of 1/4=n/8	$\log_{4} (\frac{1}{4}) = \frac{n}{8}$
2255	Solve for c	6.95+8c=24.95	$6.95 + 8 c = 24.95$
2256	Simplify	2/(5x^4)+x/3	$\frac{2}{5 x^{4}} + \frac{x}{3}$
2257	Simplify	( cube root of 625x^10y^7z^11)/( cube root of 5x^2yz^5)	$\frac{\sqrt[3]{625 x^{10} y^{7} z^{11}}}{\sqrt[3]{5 x^{2} y z^{5}}}$
2258	Simplify the Radical Expression	7 cube root of 3+2 cube root of 192	$7 \sqrt[3]{3} + 2 \sqrt[3]{192}$
2259	Factor	ac^2-ad+c^3-cd-bc^2+bd	$a c^{2} - a d + c^{3} - c d - b c^{2} + b d$
2260	Evaluate	((1-3)^2-14)/( square root of 16-20÷2+9)	$\frac{{(1 - 3)}^{2} - 14}{\sqrt{16} - 20 \div 2 + 9}$
2261	Solve for b	3/(b-1)=9/15	$\frac{3}{b - 1} = \frac{9}{15}$
2262	Simplify	(x-y^2)^6	${(x - y^{2})}^{6}$
2263	Solve for a	b=1/2 cube root of a-1	$b = \frac{1}{2} \sqrt[3]{a - 1}$
2264	Simplify the Radical Expression	(16^3)^(1/2)	${(16^{3})}^{\frac{1}{2}}$
2265	Find the Vertex	f(x)=(2-x)^2+3	$f (x) = {(2 - x)}^{2} + 3$
2266	Find Amplitude, Period, and Phase Shift	f(t)=-3sin(1/2x-2pi)	$f (t) = - 3 \sin (\frac{1}{2} x - 2 π)$
2267	Find the Antiderivative	square root of x+2x^2 square root of x	$\sqrt{x} + 2 x^{2} \sqrt{x}$
2268	Simplify	(a^(3m-6))^(2/3)	${(a^{3 m - 6})}^{\frac{2}{3}}$
2269	Evaluate the Function	f(n)=10*2^n at n=-2	$f (n) = 10 \cdot 2^{n}$ at $n = - 2$
2270	Simplify the Radical Expression	(6 square root of 5)/(5 square root of 3)	$\frac{6 \sqrt{5}}{5 \sqrt{3}}$
2271	Solve for c	2c-3=2(6-c)+7c	$2 c - 3 = 2 (6 - c) + 7 c$
2272	Solve for x	log base x of x+2=2	$\log_{x} (x + 2) = 2$
2273	Find the Roots (Zeros)	S(r)=r^5+5r^4-7r^3-43r^2-8r-48	$S (r) = r^{5} + 5 r^{4} - 7 r^{3} - 43 r^{2} - 8 r - 48$
2274	Add	2 square root of 2+ square root of 2	$2 \sqrt{2} + \sqrt{2}$
2275	Find the Roots (Zeros)	x^2+x(6-2x)=(x-1)(2-x)-2	$x^{2} + x (6 - 2 x) = (x - 1) (2 - x) - 2$
2276	Simplify	(g^3-h)(g^3+h)	$(g^{3} - h) (g^{3} + h)$
2277	Evaluate the Integral	integral of (8arctan(2x))/(1+4x^2) with respect to x	$\int \frac{8 \arctan (2 x)}{1 + 4 x^{2}} d x$
2278	Solve for x	fourth root of 2x=4	$\sqrt[4]{2 x} = 4$
2279	Simplify	(6/(5^2))^3	${(\frac{6}{5^{2}})}^{3}$
2280	Simplify	(b^3-8)/(b^2-9)*(b+3)/(b^2+2b+4)	$\frac{b^{3} - 8}{b^{2} - 9} \cdot \frac{b + 3}{b^{2} + 2 b + 4}$
2281	Graph	yy<-2x-5	$y \cdot y < - 2 x - 5$
2282	Simplify	(5^2y^-10)/(5^-1z^0x^-5)	$\frac{5^{2} y^{- 10}}{5^{- 1} z^{0} x^{- 5}}$
2283	Simplify	y(y+4)-y(y-3)-9y	$y (y + 4) - y (y - 3) - 9 y$
2284	Simplify	(3x^(-1/2)*3x^(1/2)y^(-1/3))/(3y^(-7/4))	$\frac{3 x^{- \frac{1}{2}} \cdot 3 x^{\frac{1}{2}} y^{- \frac{1}{3}}}{3 y^{- \frac{7}{4}}}$
2285	Simplify	(80^(1/4))/(5^(-1/4))	$\frac{80^{\frac{1}{4}}}{5^{- \frac{1}{4}}}$
2286	Simplify	t/(2t+6)	$\frac{t}{2 t + 6}$
2287	Find the Domain	f(x)=1/( square root of 2- square root of x)	$f (x) = \frac{1}{\sqrt{2 - \sqrt{x}}}$
2288	Solve for v	7(-v-2)=-6v	$7 (- v - 2) = - 6 v$
2289	Simplify	cube root of 216/24	$\sqrt[3]{\frac{216}{24}}$
2290	Simplify	( cube root of 3)÷( square root of 3)	$\sqrt[3]{3} \div \sqrt{3}$
2291	Solve for t	s=(3r)/(t-1)	$s = \frac{3 r}{t - 1}$
2292	Simplify	3/7((1-2x)/8)	$\frac{3}{7} (\frac{1 - 2 x}{8})$
2293	Subtract	x/(x^2-64)-7/(4x^2+32x)	$\frac{x}{x^{2} - 64} - \frac{7}{4 x^{2} + 32 x}$
2294	Simplify	((a^5)/(a^4))^2	${(\frac{a^{5}}{a^{4}})}^{2}$
2295	Solve for b	3(-3b+10)=-6b-10+5b	$3 (- 3 b + 10) = - 6 b - 10 + 5 b$
2296	Simplify	(3^5x^3)/(3^2x^3)	$\frac{3^{5} x^{3}}{3^{2} x^{3}}$
2297	Simplify	4( square root of 3+ square root of 7)	$4 (\sqrt{3} + \sqrt{7})$
2298	Graph	f(x)=-1/2sin(x)	$f (x) = - \frac{1}{2} \sin (x)$
2299	Solve for x	1/(3x-2)+1=3/(3x+2)	$\frac{1}{3 x - 2} + 1 = \frac{3}{3 x + 2}$
2300	Solve for a	square root of 41-8a+7=a	$\sqrt{41 - 8 a} + 7 = a$