Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2401	Simplify	3/( fourth root of 4a^4)	$\frac{3}{\sqrt[4]{4 a^{4}}}$
2402	Simplify	(x+2)/(2x-8)+x/(2x-8)	$\frac{x + 2}{2 x - 8} + \frac{x}{2 x - 8}$
2403	Factor	15x^(2c+3)-25x^(c+1)	$15 x^{2 c + 3} - 25 x^{c + 1}$
2404	Evaluate	5+3^-2	$5 + 3^{- 2}$
2405	Evaluate	( log of 64)/( log of 8)	$\frac{\log (64)}{\log (8)}$
2406	Simplify	((12p^(3/2))/(15p))^4	${(\frac{12 p^{\frac{3}{2}}}{15 p})}^{4}$
2407	Describe the Transformation	f(x)=7^(-3/2x)+3	$f (x) = 7^{- \frac{3}{2} x} + 3$
2408	Simplify	3(5x^2+2x-4)-x(7x^2+2x-3)	$3 (5 x^{2} + 2 x - 4) - x (7 x^{2} + 2 x - 3)$
2409	Simplify	cube root of (27(2)^4)/((3)^6)	$\sqrt[3]{\frac{27 {(2)}^{4}}{{(3)}^{6}}}$
2410	Simplify	((14x+7)/x)÷(21/(2x))	$\frac{14 x + 7}{x} \div \frac{21}{2 x}$
2411	Simplify	x/(2x-5)-(4x+15)/(4x^2-25)	$\frac{x}{2 x - 5} - \frac{4 x + 15}{4 x^{2} - 25}$
2412	Solve for m	(6m+6)=(14m-2)	$(6 m + 6) = (14 m - 2)$
2413	Solve for y	T=1/2h(x+y)	$T = \frac{1}{2} h (x + y)$
2414	Write in Standard Form	2ab+a^3+5a^2b^2-2b^3	$2 a b + a^{3} + 5 a^{2} b^{2} - 2 b^{3}$
2415	Solve for x	(x-5)^2-x^2=3	${(x - 5)}^{2} - x^{2} = 3$
2416	Simplify	(5/(x+3))/(2+1/(x+3))	$\frac{\frac{5}{x + 3}}{2 + \frac{1}{x + 3}}$
2417	Solve the Inequality for x	3<=1/3+x	$3 \leq \frac{1}{3} + x$
2418	Solve for x	1/2 natural log of x+3- natural log of x=0	$\frac{1}{2} \ln (x + 3) - \ln (x) = 0$
2419	Solve for y	1/3=1/(9y)	$\frac{1}{3} = \frac{1}{9 y}$
2420	Solve for s	0.8+s=9(0.2s+0.8)	$0.8 + s = 9 (0.2 s + 0.8)$
2421	Solve for p	-4(-3p+6)-5p=10p	$- 4 (- 3 p + 6) - 5 p = 10 p$
2422	Find the Antiderivative	x/(1+x)	$\frac{x}{1 + x}$
2423	Simplify	((4m^8y^12)/(8p^20))^(1/4)	${(\frac{4 m^{8} y^{12}}{8 p^{20}})}^{\frac{1}{4}}$
2424	Find the Vertex	(x-1)^2+8(y+2)=0	${(x - 1)}^{2} + 8 (y + 2) = 0$
2425	Add	(4x^5-3x^4-7x^3+7x^2)+(5x^4+x^3-2x+1)	$(4 x^{5} - 3 x^{4} - 7 x^{3} + 7 x^{2}) + (5 x^{4} + x^{3} - 2 x + 1)$
2426	Simplify the Radical Expression	cube root of 3/5	$\sqrt[3]{\frac{3}{5}}$
2427	Evaluate	2^42^5=(22)^(4+5)	$2^{4} \cdot 2^{5} = {(2 \cdot 2)}^{4 + 5}$
2428	Simplify	(12x)÷((6x)/(x+6))	$12 x \div \frac{6 x}{x + 6}$
2429	Write in Standard Form	(310^2)(1.510^-5)	$(3 \times 10^{2}) (1.5 \times 10^{- 5})$
2430	Graph	(6x^(-)*2)^2(0.5x)^4	${(6 x^{-} \cdot 2)}^{2} {(0.5 x)}^{4}$
2431	Find the Intersection	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
2432	Solve the System of Equations	x-y=1 y=5	$x - y = 1$ $y = 5$
2433	Simplify	1/(5y^4)+2/(y^3)	$\frac{1}{5 y^{4}} + \frac{2}{y^{3}}$
2434	Graph	y>=-3/5x-1 y<=-5/3x+2	$y \geq - \frac{3}{5} x - 1$ $y \leq - \frac{5}{3} x + 2$
2435	Solve for x	4.2/(3x)=7	$\frac{4.2}{3 x} = 7$
2436	Factor	2xy+x^2y-6-3x	$2 x y + x^{2} y - 6 - 3 x$
2437	Solve the System of Equations	-4x+2y=0 10x+3y=8	$- 4 x + 2 y = 0$ $10 x + 3 y = 8$
2438	Simplify	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
2439	Simplify	( square root of 3+5)/(2 square root of 3)	$\frac{\sqrt{3} + 5}{2 \sqrt{3}}$
2440	Find the Derivative - d/dx	y=tan(xsin(x))	$y = \tan (x \sin (x))$
2441	Solve for q	8q-8=-4(-5q-10)	$8 q - 8 = - 4 (- 5 q - 10)$
2442	Solve the Rational Equation for x	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
2443	Simplify the Radical Expression	-2 square root of 20+2 square root of 18-2 square root of 5	$- 2 \sqrt{20} + 2 \sqrt{18} - 2 \sqrt{5}$
2444	Solve for x	square root of x^2+3x=2x	$\sqrt{x^{2} + 3 x} = 2 x$
2445	Simplify	(4m^-4n^-1)/(4n^3)	$\frac{4 m^{- 4} n^{- 1}}{4 n^{3}}$
2446	Solve for k	square root of 2k^2+17-x=0	$\sqrt{2 k^{2} + 17} - x = 0$
2447	Solve the Inequality for x	3^(2x)>9	$3^{2 x} > 9$
2448	Find Where Increasing/Decreasing	f(x) = square root of 2x-5	$f (x) = \sqrt{2 x - 5}$
2449	Evaluate	((43^22+73^21)57)/((1927^4)^2)	$\frac{(4 \cdot 3^{22} + 7 \cdot 3^{21}) \cdot 57}{{(19 \cdot 27^{4})}^{2}}$
2450	Solve for x	square root of 9x^2+4x-4=3x	$\sqrt{9 x^{2} + 4 x - 4} = 3 x$
2451	Simplify	((-8-16y)/5)÷((2y+1)/(15y))	$\frac{- 8 - 16 y}{5} \div \frac{2 y + 1}{15 y}$
2452	Find the Exact Value	9(3^-2)-(3^4)/(3^2)- square root of 2^6	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}}$
2453	Solve for z	square root of 144-24z+z^2=z-12	$\sqrt{144 - 24 z + z^{2}} = z - 12$
2454	Simplify	((x^2+x-12)/(x-2))/((3x^2+11x-4)/(x^2-4))	$\frac{\frac{x^{2} + x - 12}{x - 2}}{\frac{3 x^{2} + 11 x - 4}{x^{2} - 4}}$
2455	Simplify	( square root of 343)/( cube root of 49)	$\frac{\sqrt{343}}{\sqrt[3]{49}}$
2456	Simplify	(3 square root of 15)(-4 square root of 45)	$(3 \sqrt{15}) (- 4 \sqrt{45})$
2457	Simplify	3/(2(x-5))-x/(x-5)	$\frac{3}{2 (x - 5)} - \frac{x}{x - 5}$
2458	Solve by Addition/Elimination	3x+2y=4 2y=8-5x	$3 x + 2 y = 4$ $2 y = 8 - 5 x$
2459	Solve for x	3(x+2)=y-6	$3 (x + 2) = y - 6$
2460	Simplify	(9*10^-3)^2	${(9 \cdot 10^{- 3})}^{2}$
2461	Solve for x	-12=5(6x+4)+7(x+6)	$- 12 = 5 (6 x + 4) + 7 (x + 6)$
2462	Solve for y	(y+8)/(2y-5)=1	$\frac{y + 8}{2 y - 5} = 1$
2463	Solve for z	4/z+1/z=2/(z+3)	$\frac{4}{z} + \frac{1}{z} = \frac{2}{z + 3}$
2464	Verify the Identity	1=sec(x)^2cos(x)^2	$1 = \sec^{2} (x) \cos^{2} (x)$
2465	Simplify	tan(x)^2-(sin(x)^2)/(cot(x)^2)	$\tan^{2} (x) - \frac{\sin^{2} (x)}{\cot^{2} (x)}$
2466	Solve for n	n=(12-n)^(1/2)	$n = {(12 - n)}^{\frac{1}{2}}$
2467	Find the Quotient	(x^4+x^3+5x^2-10x+10)/(x^2+2x+1)	$\frac{x^{4} + x^{3} + 5 x^{2} - 10 x + 10}{x^{2} + 2 x + 1}$
2468	Evaluate	1-2/3+4/9-8/27	$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27}$
2469	Simplify	(1/4m^4-2/3m^3n+3/8m^2n^2)÷(1/4m^2)	$(\frac{1}{4} m^{4} - \frac{2}{3} m^{3} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2})$
2470	Find the Exact Value	square root of cube root of 64	$\sqrt{\sqrt[3]{64}}$
2471	Simplify	( square root of x+ square root of 2)/(( square root of x)^3+8)*((x-2 square root of x+4)/( square root of x-2))	$\frac{\sqrt{x} + \sqrt{2}}{{(\sqrt{x})}^{3} + 8} \cdot (\frac{x - 2 \sqrt{x} + 4}{\sqrt{x} - 2})$
2472	Simplify	5^(1/4)*5^(4/5)	$5^{\frac{1}{4}} \cdot 5^{\frac{4}{5}}$
2473	Simplify	(2z)/(3z-9)-(z+1)/(2z-6)	$\frac{2 z}{3 z - 9} - \frac{z + 1}{2 z - 6}$
2474	Solve for r	6.3r=0.1+5.8r	$6.3 r = 0.1 + 5.8 r$
2475	Find the Inflection Points	f(x)=-2/5x^6+5x^4	$f (x) = - \frac{2}{5} x^{6} + 5 x^{4}$
2476	Solve for x	(4(x-4))/(x^2+2x-8)=4/(x+4)	$\frac{4 (x - 4)}{x^{2} + 2 x - 8} = \frac{4}{x + 4}$
2477	Simplify	(cos(theta)+cot(theta)sin(theta))/(sin(theta))	$\frac{\cos (θ) + \cot (θ) \sin (θ)}{\sin (θ)}$
2478	Solve the System of Equations	A+B+C=0 8A+6B+4C=1 15A+5B+3C=0	$A + B + C = 0$ $8 A + 6 B + 4 C = 1$ $15 A + 5 B + 3 C = 0$
2479	Solve for x	2\|x-1\|-x^2+2x+7=0	$2 \| x - 1 \| - x^{2} + 2 x + 7 = 0$
2480	Solve by Graphing	x-y=1 y=5	$x - y = 1$ $y = 5$
2481	Find the Roots (Zeros)	3(x^2-1)=24	$3 (x^{2} - 1) = 24$
2482	Solve for A	H=3/5A	$H = \frac{3}{5} A$
2483	Graph	x+2y=4 y=-1/2x+2	$x + 2 y = 4$ $y = - \frac{1}{2} x + 2$
2484	Simplify	(2a^2)^(1/2)(2a^2)^(1/3)	${(2 a^{2})}^{\frac{1}{2}} {(2 a^{2})}^{\frac{1}{3}}$
2485	Solve for x	5^(3x)55^(x+1)=5^(2x+3)	$5^{3 x} \cdot 5 \cdot 5^{x + 1} = 5^{2 x + 3}$
2486	Graph	y<6 y>x+3	$y < 6$ $y > x + 3$
2487	Divide Using Synthetic Division	x^4+x^3-6x^2-4x+8 by x-2	$x^{4} + x^{3} - 6 x^{2} - 4 x + 8$ by $x - 2$
2488	Find the Domain and Range	y=2-2/3cos(x-pi/2)	$y = 2 - \frac{2}{3} \cos (x - \frac{π}{2})$
2489	Solve by Addition/Elimination	5x=y+6 5x+2y=3	$5 x = y + 6$ $5 x + 2 y = 3$
2490	Simplify	(12x^4y^7z^0)/(-3x^3y^9z^-5)	$\frac{12 x^{4} y^{7} z^{0}}{- 3 x^{3} y^{9} z^{- 5}}$
2491	Solve for x	square root of 4x+28>8	$\sqrt{4 x + 28} > 8$
2492	Solve the System of Inequalities	4x+15>=-9 and 8x-6<=34	$4 x + 15 \geq - 9$ and $8 x - 6 \leq 34$
2493	Simplify	(11^(2/5))/(11^(4/5))	$\frac{11^{\frac{2}{5}}}{11^{\frac{4}{5}}}$
2494	Simplify	3/(2x+6)-(x-6)/(2x^2+6x)	$\frac{3}{2 x + 6} - \frac{x - 6}{2 x^{2} + 6 x}$
2495	Find the Roots (Zeros)	y=x(x-6)	$y = x (x - 6)$
2496	Simplify	(-xy^5)^2	${(- x y^{5})}^{2}$
2497	Solve for x	(8^(x+1)+8^(x+2))/9=16	$\frac{8^{x + 1} + 8^{x + 2}}{9} = 16$
2498	Graph	y=-(2x+3)^2(x-1)	$y = - {(2 x + 3)}^{2} (x - 1)$
2499	Find the Antiderivative	1/(x^2)-2/(x^4)	$\frac{1}{x^{2}} - \frac{2}{x^{4}}$
2500	Write Using Positive Exponents	(2^2y^-6)/(8^-1z^0x^-7)	$\frac{2^{2} y^{- 6}}{8^{- 1} z^{0} x^{- 7}}$