Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2401	Simplify	1/( square root of 35)	$\frac{1}{\sqrt{35}}$
2402	Simplify	1/(x^2+x)	$\frac{1}{x^{2} + x}$
2403	Simplify	(1+9/(c-1))/(1-9/(c-1))	$\frac{1 + \frac{9}{c - 1}}{1 - \frac{9}{c - 1}}$
2404	Simplify	(15x^2-60x)/(6x^2-24x)	$\frac{15 x^{2} - 60 x}{6 x^{2} - 24 x}$
2405	Simplify	(12-4x)/(x-3)	$\frac{12 - 4 x}{x - 3}$
2406	Simplify	(5+1/m-6/(m^2))/(2/m-2/(m^2))	$\frac{5 + \frac{1}{m} - \frac{6}{m^{2}}}{\frac{2}{m} - \frac{2}{m^{2}}}$
2407	Simplify	(-5m(m+4)^(-2/3)+6(m+4)^(1/3))/(m+4)	$\frac{- 5 m {(m + 4)}^{- \frac{2}{3}} + 6 {(m + 4)}^{\frac{1}{3}}}{m + 4}$
2408	Simplify	(3 square root of 60)/(2 square root of 27)	$\frac{3 \sqrt{60}}{2 \sqrt{27}}$
2409	Simplify	4/(2+i)	$\frac{4}{2 + i}$
2410	Simplify	(4x)/(2x+5)	$\frac{4 x}{2 x + 5}$
2411	Simplify	(x/(x+1))/(x/(x+1)+1)	$\frac{\frac{x}{x + 1}}{\frac{x}{x + 1} + 1}$
2412	Simplify	(x^3-9x)/(3-x)	$\frac{x^{3} - 9 x}{3 - x}$
2413	Simplify	(z^3-8)/(z^2+2z+4)	$\frac{z^{3} - 8}{z^{2} + 2 z + 4}$
2414	Simplify	(1- square root of 2x^2-1)/(x-1)	$\frac{1 - \sqrt{2 x^{2} - 1}}{x - 1}$
2415	Simplify	( square root of 48x^3y^2)/( square root of 4xy^3)	$\frac{\sqrt{48 x^{3} y^{2}}}{\sqrt{4 x y^{3}}}$
2416	Simplify	( square root of 6- square root of 2)/4	$\frac{\sqrt{6} - \sqrt{2}}{4}$
2417	Simplify	(1/(a+h)-1/a)/h	$\frac{\frac{1}{a + h} - \frac{1}{a}}{h}$
2418	Simplify	((2x^2-7x-4)/(x^2-9))/((2x^2+9x+4)/(x^2+x-12))	$\frac{\frac{2 x^{2} - 7 x - 4}{x^{2} - 9}}{\frac{2 x^{2} + 9 x + 4}{x^{2} + x - 12}}$
2419	Simplify	(7/(81x^2-16)+x)/(9-5/(9x+4))	$\frac{\frac{7}{81 x^{2} - 16} + x}{9 - \frac{5}{9 x + 4}}$
2420	Simplify	(e^6)/(e^-1+e^-2)	$\frac{e^{6}}{e^{- 1} + e^{- 2}}$
2421	Simplify	(x-2)/(7x-14)	$\frac{x - 2}{7 x - 14}$
2422	Simplify	(x-3)/(x-3/(x-2))	$\frac{x - 3}{x - \frac{3}{x - 2}}$
2423	Simplify	(x-4)/(x^2-3x-4)	$\frac{x - 4}{x^{2} - 3 x - 4}$
2424	Simplify	x/(9x^2-4)	$\frac{x}{9 x^{2} - 4}$
2425	Simplify	fifth root of y^1125 root of y^20	$\sqrt[5]{y^{11}} \sqrt[25]{y^{20}}$
2426	Simplify	fourth root of 48x^5	$\sqrt[4]{48 x^{5}}$
2427	Simplify	fourth root of 81r^5s^8	$\sqrt[4]{81 r^{5} s^{8}}$
2428	Simplify	fifth root of x^3y^210 root of x^4y^16	$\sqrt[5]{x^{3} y^{2}} \sqrt[10]{x^{4} y^{16}}$
2429	Simplify	fifth root of x^3y^210 root of x^4y^26	$\sqrt[5]{x^{3} y^{2}} \sqrt[10]{x^{4} y^{26}}$
2430	Simplify	fourth root of 16	$\sqrt[4]{16}$
2431	Simplify	fourth root of 1/16	$\sqrt[4]{\frac{1}{16}}$
2432	Simplify	cube root of 8x^7	$\sqrt[3]{8 x^{7}}$
2433	Simplify	cube root of x^6y^21	$\sqrt[3]{x^{6} y^{21}}$
2434	Simplify	cube root of 512x^5a^6	$\sqrt[3]{512 x^{5} a^{6}}$
2435	Simplify	square root of x-16	$\sqrt{x - 16}$
2436	Simplify	cube root of -(64c^3)/27	$\sqrt[3]{- \frac{64 c^{3}}{27}}$
2437	Simplify	cube root of e^6	$\sqrt[3]{e^{6}}$
2438	Simplify	cube root of a^4b cube root of a^2b	$\sqrt[3]{a^{4} b} \sqrt[3]{a^{2} b}$
2439	Simplify	square root of 9-4x^2	$\sqrt{9 - 4 x^{2}}$
2440	Simplify	square root of 6x-x^2	$\sqrt{6 x - x^{2}}$
2441	Simplify	square root of (16u^3v)/(uv^5)	$\sqrt{\frac{16 u^{3} v}{u v^{5}}}$
2442	Simplify	pi/11	$\frac{π}{11}$
2443	Simplify	arccos(1/( square root of 3)*sin(pi/3))	$\arccos (\frac{1}{\sqrt{3}} \cdot \sin (\frac{π}{3}))$
2444	Simplify	(8n^4-4n^-2)/(2n^-2)	$\frac{8 n^{4} - 4 n^{- 2}}{2 n^{- 2}}$
2445	Simplify	(9-x^-2)/(3+x^-1)	$\frac{9 - x^{- 2}}{3 + x^{- 1}}$
2446	Simplify	square root of 1+(x/( square root of 1-x^2))^2	$\sqrt{1 + {(\frac{x}{\sqrt{1 - x^{2}}})}^{2}}$
2447	Simplify	( square root of 2x+1/x)^3	${(\sqrt{2 x} + \frac{1}{x})}^{3}$
2448	Simplify	square root of -9/4	$\sqrt{- \frac{9}{4}}$
2449	Simplify	square root of b^15	$\sqrt{b^{15}}$
2450	Simplify	square root of sec(x)^2-1	$\sqrt{\sec^{2} (x) - 1}$
2451	Simplify	square root of cube root of 729	$\sqrt{\sqrt[3]{729}}$
2452	Simplify	square root of 3x^2-5x+2	$\sqrt{3 x^{2} - 5 x + 2}$
2453	Simplify	square root of 3i	$\sqrt{3} i$
2454	Divide Using Synthetic Division	(6x^6-5x^4*(8x^2)+5)/(x-2)	$\frac{6 x^{6} - 5 x^{4} \cdot (8 x^{2}) + 5}{x - 2}$
2455	Divide Using Synthetic Division	(-7x^2+9x^2-5x+6)/(x-2)	$\frac{- 7 x^{2} + 9 x^{2} - 5 x + 6}{x - 2}$
2456	Divide Using Synthetic Division	(x^4+1296)/(x-6)	$\frac{x^{4} + 1296}{x - 6}$
2457	Divide Using Long Polynomial Division	(5x^2-27x-18)/(x-6)	$\frac{5 x^{2} - 27 x - 18}{x - 6}$
2458	Divide Using Long Polynomial Division	(14x^3+x^2-30x+13)/(7x-10)	$\frac{14 x^{3} + x^{2} - 30 x + 13}{7 x - 10}$
2459	Divide Using Long Polynomial Division	(24x^2-x-8)/(3x-2)	$\frac{24 x^{2} - x - 8}{3 x - 2}$
2460	Divide Using Synthetic Division	(2x^3+14x^2-20x+7)/(x+6)	$\frac{2 x^{3} + 14 x^{2} - 20 x + 7}{x + 6}$
2461	Divide Using Synthetic Division	(x^5-13x^4-120x+80)/(x+3)	$\frac{x^{5} - 13 x^{4} - 120 x + 80}{x + 3}$
2462	Divide Using Synthetic Division	(x^4+6x^3-x^2-5x+1)/(x-2)	$\frac{x^{4} + 6 x^{3} - x^{2} - 5 x + 1}{x - 2}$
2463	Divide Using Synthetic Division	(x^4-10x^2-2x+4)/(x+3)	$\frac{x^{4} - 10 x^{2} - 2 x + 4}{x + 3}$
2464	Simplify	fifth root of x^5y^10	$\sqrt[5]{x^{5} y^{10}}$
2465	Simplify	fourth root of (162x^4y^5)/(2x^8y)	$\sqrt[4]{\frac{162 x^{4} y^{5}}{2 x^{8} y}}$
2466	Solve for x	1/2x^2-x-6=0	$\frac{1}{2} x^{2} - x - 6 = 0$
2467	Simplify	6 square root of 24	$6 \sqrt{24}$
2468	Simplify	cos((- square root of 3)/2)	$\cos (\frac{- \sqrt{3}}{2})$
2469	Simplify	cos(arccos(( square root of 3)/2))	$\cos (\arccos (\frac{\sqrt{3}}{2}))$
2470	Simplify	square root of s square root of s^8	$\sqrt{s \sqrt{s^{8}}}$
2471	Simplify	csc(arccos(-( square root of 2)/2))	$\csc (\arccos (- \frac{\sqrt{2}}{2}))$
2472	Simplify	sec(arctan( square root of 3))	$\sec (\arctan (\sqrt{3}))$
2473	Simplify	sec(arcsin(x/( square root of x^2+4)))	$\sec (\arcsin (\frac{x}{\sqrt{x^{2} + 4}}))$
2474	Simplify	sin((2 square root of 2)/3)	$\sin (\frac{2 \sqrt{2}}{3})$
2475	Divide Using Long Polynomial Division	(6x^4+10x^3+13x^2-5x+2)/(2x^2-1)	$\frac{6 x^{4} + 10 x^{3} + 13 x^{2} - 5 x + 2}{2 x^{2} - 1}$
2476	Divide Using Long Polynomial Division	(8x^4-4x^3+38x^2)/(4x^2+17)	$\frac{8 x^{4} - 4 x^{3} + 38 x^{2}}{4 x^{2} + 17}$
2477	Find the Domain	arccos((2x)/(1-x^2))	$\arccos (\frac{2 x}{1 - x^{2}})$
2478	Find the Domain	( square root of x-3)^2	${(\sqrt{x - 3})}^{2}$
2479	Find the Domain	( cube root of 1-x^3)/(x^3)	$\frac{\sqrt[3]{1 - x^{3}}}{x^{3}}$
2480	Find the Domain	( square root of x+3)/((x+8)(x-2))	$\frac{\sqrt{x + 3}}{(x + 8) (x - 2)}$
2481	Find the Domain	( square root of x-1)/(x-2)	$\frac{\sqrt{x - 1}}{x - 2}$
2482	Find the Domain	(x/(x^2-16))/(1/(x-7))	$\frac{\frac{x}{x^{2} - 16}}{\frac{1}{x - 7}}$
2483	Find the Domain	(x^2+x-2)/(x^2-3x-4)	$\frac{x^{2} + x - 2}{x^{2} - 3 x - 4}$
2484	Find the Domain	(x^2-2x-8)/(x^2-9)	$\frac{x^{2} - 2 x - 8}{x^{2} - 9}$
2485	Find the Domain	(x^2-4)/(x^2-1)	$\frac{x^{2} - 4}{x^{2} - 1}$
2486	Find the Domain	(x^2-9)/(x-3)	$\frac{x^{2} - 9}{x - 3}$
2487	Find the Domain	1/( square root of x-10)	$\frac{1}{\sqrt{x - 10}}$
2488	Find the Domain	1/( square root of x-2)	$\frac{1}{\sqrt{x - 2}}$
2489	Find the Domain	1/(x^2-1)	$\frac{1}{x^{2} - 1}$
2490	Find the Domain	1/(x^2-2x+1)	$\frac{1}{x^{2} - 2 x + 1}$
2491	Find the Domain	1/(1/x)	$\frac{1}{\frac{1}{x}}$
2492	Find the Domain	1/( natural log of x)	$\frac{1}{\ln (x)}$
2493	Find the Domain	(2x-3)/((x+1)(x-3))	$\frac{2 x - 3}{(x + 1) (x - 3)}$
2494	Find the Domain	2/(3x-1)	$\frac{2}{3 x - 1}$
2495	Find the Domain	square root of x^2-100	$\sqrt{x^{2} - 100}$
2496	Find the Domain	log base 3 of x^2-1	$\log_{3} (x^{2} - 1)$
2497	Find the Domain	log base 4 of x	$\log_{4} (x)$
2498	Find the Domain	log base 6 of x-6	$\log_{6} (x - 6)$
2499	Find the Domain	y = square root of x-5	$y = \sqrt{x - 5}$
2500	Find the Domain	(8x)/(x^2-9)	$\frac{8 x}{x^{2} - 9}$