Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1301	Solve by Substitution	x=y-1 -x+y=-1	$x = y - 1$ $- x + y = - 1$
1302	Simplify	- square root of 81a^16b^20c^12	$- \sqrt{81 a^{16} b^{20} c^{12}}$
1303	Simplify	((6^(1/5))/(6^(2/5)))^3	${(\frac{6^{\frac{1}{5}}}{6^{\frac{2}{5}}})}^{3}$
1304	Simplify	((2r^3t^6)/(5u^9))^4	${(\frac{2 r^{3} t^{6}}{5 u^{9}})}^{4}$
1305	Simplify	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
1306	Simplify the Radical Expression	cube root of 27/64	$\sqrt[3]{\frac{27}{64}}$
1307	Evaluate	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
1308	Solve the Inequality for z	z+4>=2z	$z + 4 \geq 2 z$
1309	Solve for x	3 cube root of x+4 = cube root of 2x-17	$3 \sqrt[3]{x + 4} = \sqrt[3]{2 x - 17}$
1310	Simplify	(m^5np)/(m^4p)	$\frac{m^{5} n p}{m^{4} p}$
1311	Evaluate	y=-4(5)^2	$y = - 4 {(5)}^{2}$
1312	Simplify	(4ab)/(cx+dx)*(ax+bx)/(2ab)	$\frac{4 a b}{c x + d x} \cdot \frac{a x + b x}{2 a b}$
1313	Simplify	(-8)(2/3)	$(- 8) (\frac{2}{3})$
1314	Simplify	(32/1024)^(1/5)	${(\frac{32}{1024})}^{\frac{1}{5}}$
1315	Simplify	((2y^4)/(y^3))^-2	${(\frac{2 y^{4}}{y^{3}})}^{- 2}$
1316	Write Using Positive Exponents	(p^-8)/(7^-2q^-9)	$\frac{p^{- 8}}{7^{- 2} q^{- 9}}$
1317	Solve for x	(2x+3)^(3/4)-3=5	${(2 x + 3)}^{\frac{3}{4}} - 3 = 5$
1318	Evaluate the Integral	integral of x(2x^2+1) with respect to x	$\int x (2 x^{2} + 1) d x$
1319	Simplify	5 square root of 2x*3 square root of 8x	$5 \sqrt{2 x} \cdot 3 \sqrt{8 x}$
1320	Simplify	(3+ square root of 8)/(2-2 square root of 8)	$\frac{3 + \sqrt{8}}{2 - 2 \sqrt{8}}$
1321	Solve for x	x^2-y^2=0	$x^{2} - y^{2} = 0$
1322	Evaluate	11-3*2+2^3+90÷6	$11 - 3 \times 2 + 2^{3} + 90 \div 6$
1323	Simplify/Condense	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
1324	Simplify	square root of a^3* cube root of a	$\sqrt{a^{3}} \cdot \sqrt[3]{a}$
1325	Graph	y=(x+1)(x^2+3x+2)	$y = (x + 1) (x^{2} + 3 x + 2)$
1326	Solve for s	2-2s=3/4s+14	$2 - 2 s = \frac{3}{4} s + 14$
1327	Evaluate the Integral	integral of (cot(x)^2+1) with respect to x	$\int (\cot^{2} (x) + 1) d x$
1328	Simplify	(sec(theta)^2-tan(theta)^2)/(sin(theta))	$\frac{\sec^{2} (θ) - \tan^{2} (θ)}{\sin (θ)}$
1329	Solve for r	7r=7(2r+9)	$7 r = 7 (2 r + 9)$
1330	Simplify	((6x^2)/(5y))÷((3x)/(10y^2))	$\frac{6 x^{2}}{5 y} \div \frac{3 x}{10 y^{2}}$
1331	Find the Domain	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{b - c}{a + b} - \frac{a b - b^{2}}{a^{2} - a c} \cdot \frac{a^{2} - c^{2}}{a^{2} - b^{2}}$
1332	Simplify	(4+ square root of 6)/( square root of 2+ square root of 3)	$\frac{4 + \sqrt{6}}{\sqrt{2} + \sqrt{3}}$
1333	Find the Asymptotes	y=((x+1)^2)/(x^2-3x-4)	$y = \frac{{(x + 1)}^{2}}{x^{2} - 3 x - 4}$
1334	Solve for p	-6+p+9=8-4p	$- 6 + p + 9 = 8 - 4 p$
1335	Write in Exponential Form	10 root of 3^5	$\sqrt[10]{3^{5}}$
1336	Simplify	5/(4 square root of -2)	$\frac{5}{4 \sqrt{- 2}}$
1337	Simplify the Radical Expression	square root of 8y+5 square root of 50y-2 square root of 18y	$\sqrt{8 y} + 5 \sqrt{50 y} - 2 \sqrt{18 y}$
1338	Evaluate the Function	g(x)=x^2(x+4) at x=t+6	$g (x) = x^{2} (x + 4)$ at $x = t + 6$
1339	Find the Intersection	y>3x-5 y>-x+2	$y > 3 x - 5$ $y > - x + 2$
1340	Evaluate	81*(9/2)^-2	$81 \cdot {(\frac{9}{2})}^{- 2}$
1341	Integrate By Parts	integral of x/(e^(2x)) with respect to x	$\int \frac{x}{e^{2 x}} d x$
1342	Solve for b	9b^2+0.27b=0	$9 b^{2} + 0.27 b = 0$
1343	Determine if Odd, Even, or Neither	f(x)=1/(x^6+9x^4)	$f (x) = \frac{1}{x^{6} + 9 x^{4}}$
1344	Solve for x	3/x+2=4/(5x)	$\frac{3}{x} + 2 = \frac{4}{5 x}$
1345	Simplify the Radical Expression	3 square root of 49x^9y^16	$3 \sqrt{49 x^{9} y^{16}}$
1346	Solve for x	x+4y=5 3x-4y=17	$x + 4 y = 5$ $3 x - 4 y = 17$
1347	Solve for R	E=IR	$E = I R$
1348	Find Amplitude, Period, and Phase Shift	y=2cos(3x-pi)+4	$y = 2 \cos (3 x - π) + 4$
1349	Solve for n	1/2(n+4)=6	$\frac{1}{2} (n + 4) = 6$
1350	Find the Reciprocal	( square root of 2)/2-( square root of 2i)/2	$\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}$
1351	Find All Complex Solutions	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
1352	Simplify	((4ab^2)/(5ab))^2	${(\frac{4 a b^{2}}{5 a b})}^{2}$
1353	Find the Domain	((2a+3b)/(2a)+(2a-3b)/(3b))^2-((2a+3b)/(2a)-(2a-3b)/(3b))^2	${(\frac{2 a + 3 b}{2 a} + \frac{2 a - 3 b}{3 b})}^{2} - {(\frac{2 a + 3 b}{2 a} - \frac{2 a - 3 b}{3 b})}^{2}$
1354	Find the Axis of Symmetry	x=1/2y^2+2y+11	$x = \frac{1}{2} y^{2} + 2 y + 11$
1355	Evaluate the Integral	integral of (5x^4+5x)/x with respect to x	$\int \frac{5 x^{4} + 5 x}{x} d x$
1356	Subtract	square root of 7-3 square root of 7	$\sqrt{7} - 3 \sqrt{7}$
1357	Simplify	- square root of (2x+1)^6	$- \sqrt{{(2 x + 1)}^{6}}$
1358	Find the Exact Value	12tan(pi/6)^2+24sec(pi/3)^2	$12 \tan^{2} (\frac{π}{6}) + 24 \sec^{2} (\frac{π}{3})$
1359	Evaluate	(3.6-1 1/8÷(3/4))*15	$(3.6 - 1 \frac{1}{8} \div \frac{3}{4}) \cdot 15$
1360	Find Where Increasing/Decreasing	f(x) = cube root of x-1	$f (x) = \sqrt[3]{x - 1}$
1361	Simplify	square root of 6*(2 square root of 3- square root of 2+ square root of 12)	$\sqrt{6} \cdot (2 \sqrt{3} - \sqrt{2} + \sqrt{12})$
1362	Solve for x	-201=-3+6(-6x-3)	$- 201 = - 3 + 6 (- 6 x - 3)$
1363	Convert to Polar	xy=x+y	$x y = x + y$
1364	Write in Standard Form	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
1365	Solve for d	-2d-8=8+8+4d	$- 2 d - 8 = 8 + 8 + 4 d$
1366	Factor	4ax^3+8a^2x^2-12a^3x	$4 a x^{3} + 8 a^{2} x^{2} - 12 a^{3} x$
1367	Find the Antiderivative	f(x)=4x^2+2x^(1/2)+ cube root of x	$f (x) = 4 x^{2} + 2 x^{\frac{1}{2}} + \sqrt[3]{x}$
1368	Solve the Inequality for x	3^(5x-1)<=27^(x+3)	$3^{5 x - 1} \leq 27^{x + 3}$
1369	Solve for x	square root of 19-3x-1=3x	$\sqrt{19 - 3 x} - 1 = 3 x$
1370	Simplify	fourth root of xy^4	$\sqrt[4]{x y^{4}}$
1371	Simplify the Radical Expression	fourth root of 256(5x-2)^12	$\sqrt[4]{256 {(5 x - 2)}^{12}}$
1372	Solve for R	P=(R-C)/N	$P = \frac{R - C}{N}$
1373	Evaluate the Summation	sum from i=1 to infinity of 4/7(7/6)^(i-1)	$\sum_{i = 1}^{\infty} \frac{4}{7} {(\frac{7}{6})}^{i - 1}$
1374	Solve for x	(6x)/27=43	$\frac{6 x}{27} = 43$
1375	Simplify	-4^0b^-4	$- 4^{0} b^{- 4}$
1376	Solve the Differential Equation	(dy)/(dx)=2 square root of y+1cos(x)	$\frac{d y}{d x} = 2 \sqrt{y + 1} \cos (x)$
1377	Write in Exponential Form	sixth root of 3^2	$\sqrt[6]{3^{2}}$
1378	Write the Fraction in Simplest Form	(8a^-3)^(-2/3)	${(8 a^{- 3})}^{- \frac{2}{3}}$
1379	Solve for x	3+9/4=9/(x+4)	$3 + \frac{9}{4} = \frac{9}{x + 4}$
1380	Solve for y	12(5+2y)=4y-(5-9y)	$12 (5 + 2 y) = 4 y - (5 - 9 y)$
1381	Evaluate the Limit	limit as x approaches negative infinity of 3x^7-4x^9+3x^2	$lim_{x \to - \infty} 3 x^{7} - 4 x^{9} + 3 x^{2}$
1382	Simplify	(28n+40)/(35n+50)*(12n+24)/(8n+16)	$\frac{28 n + 40}{35 n + 50} \cdot \frac{12 n + 24}{8 n + 16}$
1383	Simplify/Condense	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
1384	Simplify	(x^(1/2)y^-3)^(1/2)	${(x^{\frac{1}{2}} y^{- 3})}^{\frac{1}{2}}$
1385	Solve for x	10^(2x)=0.1	$10^{2 x} = 0.1$
1386	Evaluate	((8)(2))+(-6)	$((8) (2)) + (- 6)$
1387	Divide	(1/4m^4-2/3m^3n+3/8m^2n^2)÷(1/4m^2)	$(\frac{1}{4} m^{4} - \frac{2}{3} m^{3} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2})$
1388	Write in Exponential Form	n root of a^n	$\sqrt[n]{a^{n}}$
1389	Solve for x	-5126=-6-5(3x+22)^(5/3)	$- 5126 = - 6 - 5 {(3 x + 22)}^{\frac{5}{3}}$
1390	Solve the System of Equations	-3x-4y+z=-1 2x+y-z=-8 x+8y-z=23	$- 3 x - 4 y + z = - 1$ $2 x + y - z = - 8$ $x + 8 y - z = 23$
1391	Evaluate	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
1392	Simplify	4/(x-y)-7/(y-x)	$\frac{4}{x - y} - \frac{7}{y - x}$
1393	Simplify	4x^-4*1/2x^2	$4 x^{- 4} \cdot \frac{1}{2} x^{2}$
1394	Simplify	4d(d^3-d^2)	$4 d (d^{3} - d^{2})$
1395	Simplify	4/(i square root of 2)	$\frac{4}{i \sqrt{2}}$
1396	Simplify	(6 square root of 18)÷12 square root of 40	$6 \sqrt{18} \div 12 \sqrt{40}$
1397	Solve for c	-3-9c=5-6c-5	$- 3 - 9 c = 5 - 6 c - 5$
1398	Simplify the Radical Expression	( square root of 9)/25	$\frac{\sqrt{9}}{25}$
1399	Simplify	log of 9t^3-5t+ log of t^-1	$\log (9 t^{3} - 5 t) + \log (t^{- 1})$
1400	Simplify	(3(6x)^2)^-1	${(3 {(6 x)}^{2})}^{- 1}$