Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1301	Solve for x	e^(2x-3)=x+1	$e^{2 x - 3} = x + 1$
1302	Solve for x	e^(1-3x)=3-2x	$e^{1 - 3 x} = 3 - 2 x$
1303	Solve for x	9^(x^2)*3^(7x)=81	$9^{x^{2}} \cdot 3^{7 x} = 81$
1304	Solve for x	8^(6+3x)=4	$8^{6 + 3 x} = 4$
1305	Solve for x	3x^2+48=0	$3 x^{2} + 48 = 0$
1306	Solve for x	3^(2x)+3^(x+1)-70=0	$3^{2 x} + 3^{x + 1} - 70 = 0$
1307	Solve for x	3^(2x)+3^x-42=0	$3^{2 x} + 3^{x} - 42 = 0$
1308	Solve for x	3^(x+2)=20	$3^{x + 2} = 20$
1309	Solve for x	36^x+6^(x+1)-55=0	$36^{x} + 6^{x + 1} - 55 = 0$
1310	Solve for x	4^(2x-3)=64	$4^{2 x - 3} = 64$
1311	Solve for x	4^(x^2+4x)=1/64	$4^{x^{2} + 4 x} = \frac{1}{64}$
1312	Solve for x	4/(x-6)+12/(x+6)=144/(x^2-36)	$\frac{4}{x - 6} + \frac{12}{x + 6} = \frac{144}{x^{2} - 36}$
1313	Solve for x	(5x^2)/4=2(x-2)	$\frac{5 x^{2}}{4} = 2 (x - 2)$
1314	Solve for x	400/(1+e^(-x))=350	$\frac{400}{1 + e^{- x}} = 350$
1315	Solve for x	5/(x+4)=4+3/(x-2)	$\frac{5}{x + 4} = 4 + \frac{3}{x - 2}$
1316	Solve for x	4^(3x+1)=64	$4^{3 x + 1} = 64$
1317	Solve for x	4^x-4^(-x)=2	$4^{x} - 4^{- x} = 2$
1318	Solve for x	4^x=22	$4^{x} = 22$
1319	Solve for x	4^x=19	$4^{x} = 19$
1320	Solve for x	5^(3x+1)=3^(x-5)	$5^{3 x + 1} = 3^{x - 5}$
1321	Simplify	(-3z^2)^3(2z^3)	${(- 3 z^{2})}^{3} (2 z^{3})$
1322	Simplify	15 degrees	$15 °$
1323	Simplify	14p^2+27pq-20q^2	$14 p^{2} + 27 p q - 20 q^{2}$
1324	Simplify	2p-3(4p-(8p+1))	$2 p - 3 (4 p - (8 p + 1))$
1325	Simplify	25-(z+5)^2	$25 - {(z + 5)}^{2}$
1326	Simplify	3x^2(3xy^-1)^-2	$3 x^{2} {(3 x y^{- 1})}^{- 2}$
1327	Simplify	7/(2x-3)-5/((2x-3)^2)	$\frac{7}{2 x - 3} - \frac{5}{{(2 x - 3)}^{2}}$
1328	Simplify	(8x+4)^2	${(8 x + 4)}^{2}$
1329	Simplify	((16x^-10)/(x^6))^(-1/4)	${(\frac{16 x^{- 10}}{x^{6}})}^{- \frac{1}{4}}$
1330	Simplify	(2u^2v^3)^3(3u^-3v)^2	${(2 u^{2} v^{3})}^{3} {(3 u^{- 3} v)}^{2}$
1331	Simplify	sin(pi/6)^2+cos(pi/6)^2	$\sin^{2} (\frac{π}{6}) + \cos^{2} (\frac{π}{6})$
1332	Simplify	x/(x^2-7x+6)-x/(x^2-2x-24)	$\frac{x}{x^{2} - 7 x + 6} - \frac{x}{x^{2} - 2 x - 24}$
1333	Simplify	fourth root of x*( cube root of x)/( sixth root of x)	$\sqrt[4]{x} \cdot \frac{\sqrt[3]{x}}{\sqrt[6]{x}}$
1334	Simplify	(x^2-x-6)/(x^2+2x)*(x^3+x^2)/(x^2-2x-3)	$\frac{x^{2} - x - 6}{x^{2} + 2 x} \cdot \frac{x^{3} + x^{2}}{x^{2} - 2 x - 3}$
1335	Simplify	(x^2(2x)^4)/(x^3)	$\frac{x^{2} {(2 x)}^{4}}{x^{3}}$
1336	Simplify	(1-cos(2x))/(sin(2x))	$\frac{1 - \cos (2 x)}{\sin (2 x)}$
1337	Simplify	(18y^2)/(60y^5)	$\frac{18 y^{2}}{60 y^{5}}$
1338	Simplify	2/3*\|-5/8-1/4\|	$\frac{2}{3} \cdot \| - \frac{5}{8} - \frac{1}{4} \|$
1339	Simplify	(1+i)/i-3/(4-i)	$\frac{1 + i}{i} - \frac{3}{4 - i}$
1340	Simplify	1/(sec(x)^2)+1/(csc(x)^2)	$\frac{1}{\sec^{2} (x)} + \frac{1}{\csc^{2} (x)}$
1341	Simplify	1/(1+sin(x))	$\frac{1}{1 + \sin (x)}$
1342	Simplify	i^(1/3)	$i^{\frac{1}{3}}$
1343	Simplify	i^2+i^8	$i^{2} + i^{8}$
1344	Simplify	csc(t)^2-sin(t)^2-cot(t)^2	$\csc^{2} (t) - \sin^{2} (t) - \cot^{2} (t)$
1345	Simplify	(x+y+z)(x-y-z)	$(x + y + z) (x - y - z)$
1346	Simplify	(cos(x)sec(x))/(cot(x))	$\frac{\cos (x) \sec (x)}{\cot (x)}$
1347	Simplify	cos(x)^2+2cos(x)+1	$\cos^{2} (x) + 2 \cos (x) + 1$
1348	Simplify	5(x^2+4)^4(2x)(x-2)^4+(x^2+4)^5(4)(x-2)^3	$5 {(x^{2} + 4)}^{4} (2 x) {(x - 2)}^{4} + {(x^{2} + 4)}^{5} (4) {(x - 2)}^{3}$
1349	Simplify	5sec(x)^2-10	$5 \sec^{2} (x) - 10$
1350	Simplify	5-6i	$5 - 6 i$
1351	Simplify	4(x^2-3x+5)-3(x^2-2x+1)	$4 (x^{2} - 3 x + 5) - 3 (x^{2} - 2 x + 1)$
1352	Simplify	square root of 12/7	$\sqrt{\frac{12}{7}}$
1353	Simplify	cos(pi/12)+cos((7pi)/12)	$\cos (\frac{π}{12}) + \cos (\frac{7 π}{12})$
1354	Simplify	(2x^3-x^2-6x)/(2x^2-7x+6)	$\frac{2 x^{3} - x^{2} - 6 x}{2 x^{2} - 7 x + 6}$
1355	Simplify	cos(pi/3)cos(pi/6)-sin(pi/3)sin(pi/6)	$\cos (\frac{π}{3}) \cos (\frac{π}{6}) - \sin (\frac{π}{3}) \sin (\frac{π}{6})$
1356	Simplify	cos(120+45)	$\cos (120 + 45)$
1357	Simplify	((32x^5y^(-3/2))^(2/5))/((x^(5/3)y^(2/3))^(3/5))	$\frac{{(32 x^{5} y^{- \frac{3}{2}})}^{\frac{2}{5}}}{{(x^{\frac{5}{3}} y^{\frac{2}{3}})}^{\frac{3}{5}}}$
1358	Simplify	sin(pi/6)cos(pi/3)-tan(pi/4)	$\sin (\frac{π}{6}) \cos (\frac{π}{3}) - \tan (\frac{π}{4})$
1359	Simplify	sec(0)+cot(45)	$\sec (0) + \cot (45)$
1360	Simplify	square root of -12-( square root of -11- square root of 5)	$\sqrt{- 12} - (\sqrt{- 11} - \sqrt{5})$
1361	Simplify	(4x(x+6)^4-x^2*8(x+6)^3)/((x+6)^8)	$\frac{4 x {(x + 6)}^{4} - x^{2} \cdot 8 {(x + 6)}^{3}}{{(x + 6)}^{8}}$
1362	Simplify	((2x^2-3x-2)/(x^2-1))/((2x^2+5x+2)/(x^2+x-2))	$\frac{\frac{2 x^{2} - 3 x - 2}{x^{2} - 1}}{\frac{2 x^{2} + 5 x + 2}{x^{2} + x - 2}}$
1363	Simplify	sin(x)sec(x)+cos(x)csc(x)	$\sin (x) \sec (x) + \cos (x) \csc (x)$
1364	Simplify	sin(x)cos(x)tan(x)sec(x)csc(x)	$\sin (x) \cos (x) \tan (x) \sec (x) \csc (x)$
1365	Simplify	sin(2x)-cos(2x)	$\sin (2 x) - \cos (2 x)$
1366	Simplify	csc(arccos(x))	$\csc (\arccos (x))$
1367	Simplify	cos(sin(-1x))	$\cos (\sin (- 1 x))$
1368	Simplify	cos(arcsin(1/7x))	$\cos (\arcsin (\frac{1}{7} x))$
1369	Simplify	cos(-t)sec(t)	$\cos (- t) \sec (t)$
1370	Simplify	cos(2A)	$\cos (2 A)$
1371	Simplify	7+12i	$7 + 12 i$
1372	Solve for x	(2x-1)/(3x-2)=1	$\frac{2 x - 1}{3 x - 2} = 1$
1373	Solve for x	2x^2+16<8x	$2 x^{2} + 16 < 8 x$
1374	Solve for x	log of x-2+ log of 9-x<1	$\log (x - 2) + \log (9 - x) < 1$
1375	Simplify	tan(arcsin(x/2))	$\tan (\arcsin (\frac{x}{2}))$
1376	Simplify	tan(pi/2-x)tan(x)	$\tan (\frac{π}{2} - x) \tan (x)$
1377	Simplify	tan(arctan(x))	$\tan (\arctan (x))$
1378	Solve for x	(x^2-9)/(x^2-4x-5)=0	$\frac{x^{2} - 9}{x^{2} - 4 x - 5} = 0$
1379	Find the Domain	(x-1)/(x^2-4)	$\frac{x - 1}{x^{2} - 4}$
1380	Find the Domain	(x+2)/(x^2-4)	$\frac{x + 2}{x^{2} - 4}$
1381	Find the Domain	square root of 2x-5	$\sqrt{2 x - 5}$
1382	Find the Domain	square root of 2x+3	$\sqrt{2 x + 3}$
1383	Find the Domain	square root of 4x+7	$\sqrt{4 x + 7}$
1384	Find the Domain	y = square root of x-3	$y = \sqrt{x - 3}$
1385	Find the Domain	log base 7 of x^2-9	$\log_{7} (x^{2} - 9)$
1386	Find the Domain	x/(x^2-1)	$\frac{x}{x^{2} - 1}$
1387	Find the Domain	x/(x^2-16)	$\frac{x}{x^{2} - 16}$
1388	Find the Domain	x/(x^2-4)	$\frac{x}{x^{2} - 4}$
1389	Find the Domain	square root of x-9	$\sqrt{x - 9}$
1390	Find the Domain	x/(x-3)	$\frac{x}{x - 3}$
1391	Find the Domain	x/(4x+9)	$\frac{x}{4 x + 9}$
1392	Find the Domain	x/(x^3-8)	$\frac{x}{x^{3} - 8}$
1393	Find the Domain	x/(3x+4)	$\frac{x}{3 x + 4}$
1394	Find the Domain	h(x) = square root of 6-x^2	$h (x) = \sqrt{6 - x^{2}}$
1395	Find the Domain	csc(arccos(x))	$\csc (\arccos (x))$
1396	Find the Domain	f(x)=(x^2-6x+9)/(x-1)	$f (x) = \frac{x^{2} - 6 x + 9}{x - 1}$
1397	Find the Domain	f(x) = square root of 36-x^2	$f (x) = \sqrt{36 - x^{2}}$
1398	Find the Domain	square root of x^4-16x^2	$\sqrt{x^{4} - 16 x^{2}}$
1399	Find the Domain	(x^4)/(x^2+x-6)	$\frac{x^{4}}{x^{2} + x - 6}$
1400	Find the Domain	fourth root of x^2+3x	$\sqrt[4]{x^{2} + 3 x}$