en that -16*y**3 + 1338*y**2 - 3428*y + 2106 = 0.
1, 13/8, 81
Factor -4*f**3 + 15352*f**2 + 370240*f + 1977344.
-4*(f - 3862)*(f + 8)*(f + 16)
Factor -2*n**3 + 8488550*n**2 - 9006939382086*n + 9006930893538.
-2*(n - 2122137)**2*(n - 1)
Suppose 7*i**5 - 6424*i**4 - 283243*i**3 - 879536*i**2 - 752484*i - 149760 = 0. Calculate i.
-39, -2, -1, -2/7, 960
Suppose 10*y**3 + 17865*y**2 + 221810*y + 106440 = 0. What is y?
-1774, -12, -1/2
Suppose -5*l**2 - 52147765*l + 469330290 = 0. What is l?
-10429562, 9
Determine i so that -2*i**4 - 28740706*i**3/5 - 132207016*i**2/5 + 11496264*i = 0.
-2874066, -5, 0, 2/5
Determine y, given that 4*y**4/3 - 116*y**3 - 190760*y**2/3 + 2908688*y + 18212320/3 = 0.
-202, -2, 46, 245
Solve 5*x**3 - 31583545*x**2 + 49875999946575*x + 49876031530125 = 0 for x.
-1, 3158355
Suppose 5*j**2 + 1388160*j + 12493035 = 0. Calculate j.
-277623, -9
Factor 3*b**2/4 + 33387*b/2 + 7967820.
3*(b + 488)*(b + 21770)/4
Let 50*z**3/11 - 712940*z**2/11 + 2524940248*z/11 + 117660699248/11 = 0. What is z?
-46, 35762/5
What is o in o**2/4 + 2435*o/4 - 488943/2 = 0?
-2786, 351
Suppose 2*o**4/5 + 1416*o**3/5 + 249774*o**2/5 - 254032*o/5 - 502392/5 = 0. Calculate o.
-363, -346, -1, 2
Factor -3*x**3/4 + 6163683*x**2/4 - 12327357*x/4 + 6163677/4.
-3*(x - 2054559)*(x - 1)**2/4
Suppose -7*q**4 + 125606*q**3 + 18651527*q**2 + 5318754*q = 0. Calculate q.
-147, -2/7, 0, 18091
Find d such that 3*d**3/2 - 3022422*d**2 + 12089667*d/2 + 9067257 = 0.
-1, 3, 2014946
Factor -3*x**2/4 + 2881347*x/2 - 2881344.
-3*(x - 1920896)*(x - 2)/4
Factor -n**3/8 + 32809*n**2/4 - 268894235*n/2 - 3501171973.
-(n - 32822)**2*(n + 26)/8
Determine f, given that f**2 + 263259530*f + 17326395033955225 = 0.
-131629765
Suppose q**3/3 + 1048*q**2 + 47679*q + 1638842/3 = 0. What is q?
-3098, -23
Factor -r**3/9 + 2287*r**2/9 - 85339*r/9 - 92209/3.
-(r - 2249)*(r - 41)*(r + 3)/9
Suppose 2*d**3/9 + 2606618*d**2/9 - 9557708*d/3 - 12164320 = 0. What is d?
-1303320, -3, 14
Factor v**3 - 1918574*v**2 + 920233466940*v - 1840459259592.
(v - 959286)**2*(v - 2)
Suppose 31*z**4/7 - 34812*z**3/7 - 1218617*z**2/7 - 2334762*z/7 - 74048/7 = 0. Calculate z.
-32, -2, -1/31, 1157
Suppose 5*x**3/8 - 16123*x**2/8 + 1407555*x/2 + 1411587/2 = 0. Calculate x.
-1, 1998/5, 2826
Find c, given that -2*c**2/3 - 1102156*c/3 + 5510830/3 = 0.
-551083, 5
Find y, given that 5*y**2 - 1211495*y + 8480220 = 0.
7, 242292
Find r, given that -r**2 - 1335*r - 416486 = 0.
-838, -497
Let -a**3/4 + 4399*a**2/4 - 1184326*a - 55544445 = 0. What is a?
-45, 2222
Let 2*z**4/17 + 122376*z**3/17 + 3424960*z**2/17 = 0. Calculate z.
-61160, -28, 0
Find m such that 3*m**2/2 + 710579940*m + 84153975188400600 = 0.
-236859980
Suppose -7*r**2/10 + 188187*r/2 + 1882150 = 0. Calculate r.
-20, 941075/7
Find c, given that -2*c**5/15 + 3076*c**4/15 - 216434*c**3/3 - 15689600*c**2/3 - 24320000*c = 0.
-57, -5, 0, 800
Suppose -55*w**5 + 4851395*w**4 - 15435895*w**3 + 17199865*w**2 - 7497350*w + 882040 = 0. Calculate w.
2/11, 1, 88204
Factor 4*l**3 - 2304*l**2 + 309276*l.
4*l*(l - 363)*(l - 213)
Factor -4*a**3 + 4242696*a**2 - 8485380*a + 4242688.
-4*(a - 1060672)*(a - 1)**2
Factor -18*q**3 - 9911262*q**2 + 6607511*q/2 - 275313.
-(q + 550626)*(6*q - 1)**2/2
Factor 2*o**2/23 - 284*o + 5316816/23.
2*(o - 1724)*(o - 1542)/23
Factor -o**4 + 8639*o**3 + 1310850*o**2 + 65792500*o + 1098625000.
-(o - 8789)*(o + 50)**3
Suppose -110*n**2 + 49461056*n + 1798584 = 0. Calculate n.
-2/55, 449646
Determine d so that 25*d**4/4 - 65*d**3/4 - 1115*d**2/2 + 2405*d + 1050 = 0.
-10, -2/5, 6, 7
Let -4*n**3 + 656284*n**2 - 26979242560*n + 4915247607552 = 0. Calculate n.
183, 81944
Factor -3*y**3 - 6564*y**2 + 13185*y + 98550.
-3*(y - 5)*(y + 3)*(y + 2190)
Factor -5*h**2 + 27660*h + 93844220.
-5*(h - 7906)*(h + 2374)
Suppose 4*t**3 + 4392*t**2 - 17652*t - 22040 = 0. Calculate t.
-1102, -1, 5
Suppose 3*u**4/2 + 31173*u**3 + 163445400*u**2 + 15407729211*u + 30488629965/2 = 0. Calculate u.
-10343, -95, -1
Suppose -u**2/5 - 42591*u/5 - 943056 = 0. What is u?
-42480, -111
Determine w so that 8*w**3 - 184754*w**2 - 4392670*w + 5779500 = 0.
-25, 5/4, 23118
Find c, given that -c**5/3 + 979*c**4 - 974474*c**3/3 + 28699094*c**2 + 324825*c - 28700073 = 0.
-1, 1, 183, 2571
Factor d**2 + 1481896*d.
d*(d + 1481896)
Factor -k**2/5 - 150121*k/5 + 300246/5.
-(k - 2)*(k + 150123)/5
Solve 2*q**3/7 + 33144*q**2/7 + 1355622*q/7 + 1322480/7 = 0.
-16531, -40, -1
Factor -4*u**2/5 + 4185694*u/5 + 1255710.
-2*(u - 1046425)*(2*u + 3)/5
Find m such that -m**4/8 - 55*m**3/4 - 2453*m**2/8 + 4153*m + 20670 = 0.
-65, -53, -4, 12
Find i such that 5*i**4 - 6450*i**3 + 286335*i**2 - 267010*i - 559800 = 0.
-1, 2, 45, 1244
Let -29*y**3 - 13599*y**2 + 374168*y - 25740 = 0. Calculate y.
-495, 2/29, 26
Find c, given that 26690*c**2 - 8861071*c - 2988 = 0.
-9/26690, 332
Suppose -38*d**5/17 - 5062*d**4/17 - 4522*d**3 + 338390*d**2/17 + 3133600*d/17 + 644000/17 = 0. What is d?
-115, -20, -5, -4/19, 7
Solve h**2/3 - 4639*h/3 + 5315818/3 = 0.
2066, 2573
Suppose -x**2/7 - 324147*x/7 - 231530 = 0. What is x?
-324142, -5
Let -k**3/4 + 5322696*k**2 + 21290787*k + 21290788 = 0. What is k?
-2, 21290788
Determine f, given that 3*f**2/8 + 213*f/2 + 1251/2 = 0.
-278, -6
Determine r so that -4*r**4 - 393740*r**3 + 17726232*r**2 - 16544992*r - 34664960 = 0.
-98480, -1, 2, 44
Solve t**5/4 + 363499*t**4/4 - 5*t**3/2 - 1817495*t**2/2 + 9*t/4 + 3271491/4 = 0.
-363499, -3, -1, 1, 3
Find x, given that -2*x**2/13 - 76*x/13 + 73776/13 = 0.
-212, 174
Solve -4*s**5 + 788*s**4 - 51088*s**3 + 1100928*s**2 - 1050624*s = 0.
0, 1, 48, 72, 76
Find g, given that 8*g**5 - 13342*g**4 + 5808224*g**3 - 204122710*g**2 + 1436470100*g + 371966000 = 0.
-1/4, 10, 28, 815
What is r in -2625*r**2 - 85567134*r - 293373 = 0?
-32597, -3/875
Factor f**2/5 + 366614*f + 10998384/5.
(f + 6)*(f + 1833064)/5
Solve 4*o**4/7 - 964*o**3/7 + 52956*o**2/7 - 103428*o = 0 for o.
0, 21, 51, 169
What is p in -p**3/5 - 68*p**2/5 + 819*p/5 + 3042/5 = 0?
-78, -3, 13
Factor 5*k**4 - 79920960*k**3 + 319367992366080*k**2.
5*k**2*(k - 7992096)**2
Factor -2*n**2/11 + 15762*n/11 + 3764432/11.
-2*(n - 8113)*(n + 232)/11
Determine n so that -94*n**2/9 + 1982710*n/3 + 126556/9 = 0.
-1/47, 63278
Solve -3*j**5 - 858*j**4 + 10596*j**3 + 4431954*j**2 - 155757537*j + 960602760 = 0 for j.
-277, -95, 8, 39
Let 3*z**2 + 2980812*z + 71537760 = 0. What is z?
-993580, -24
Find u such that 4*u**3 + 36916944*u**2/7 + 12168404865804*u/7 + 3476684090888/7 = 0.
-659231, -2/7
Solve 2*u**3 + 73154*u**2 - 292672*u - 877944 = 0 for u.
-36581, -2, 6
Suppose -506*t**2 + 18773111*t - 185505 = 0. Calculate t.
5/506, 37101
Factor m**5 + 305274*m**4 - 1221106*m**3 + 1831664*m**2 - 1221111*m + 305278.
(m - 1)**4*(m + 305278)
Factor 5*q**2 - 618360*q + 14837760.
5*(q - 123648)*(q - 24)
Factor 2*d**3/11 - 57528*d**2/11 + 424452810*d/11 - 153857743484/11.
2*(d - 14191)**2*(d - 382)/11
Let 2*u**2/13 - 45774*u/13 - 1650456/13 = 0. Calculate u.
-36, 22923
Factor -2*p**2/3 - 240100*p/3 + 80034.
-2*(p - 1)*(p + 120051)/3
Solve 4*w**3 + 844188*w**2 - 3376800*w + 3376816 = 0.
-211051, 2
Factor -3645*z**4 + 5760447435*z**3 - 3034547384380650*z**2 + 532857979004468031940*z - 532854944462844095080.
-5*(z - 1)*(9*z - 4741106)**3
Factor l**3 + 4482144*l**2 - 17928589*l + 13446444.
(l - 3)*(l - 1)*(l + 4482148)
Suppose 2*s**3/3 - 64*s**2 - 1918*s + 33320/3 = 0. What is s?
-28, 5, 119
Solve 5*n**4 - 165785*n**3 + 5465115*n**2 + 11427605*n + 5796700 = 0 for n.
-1, 35, 33124
Let -3*c**4/5 + 186*c**3/5 - 291*c**2/5 - 864*c + 2160 = 0. Calculate c.
-5, 3, 4, 60
Determine w so that 4276*w**4/3 + 2398838*w**3/3 - 1603126*w**2 + 2405138*w/3 + 1126/3 = 0.
-563, -1/2138, 1
Determine g so that g**5 + 133*g**4 - 8535*g**3 + 68771*g**2 - 169570*g + 109200 = 0.
-182, 1, 3, 5, 40
Suppose -6*x**5 - 37712*x**4/7 - 8975210*x**3/7 - 228835316*x**2/7 - 219403560*x + 21193200 = 0. Calculate x.
-435, -14, 2/21
Factor -2*c**2/21 - 40178*c/21 + 271660.
-2*(c - 141)*(c + 20230)/21
Factor 5*g**3 - 1128120*g**2 + 21432475*g.
5*g*(g - 225605)*(g - 19)
Find b such that -2*b**3/9 - 892*b**2/9 + 353600*b/9 - 26560256/9 = 0.
-718, 136
Let 4*i**2 + 12323356*i - 12323360 = 0. Calculate i.
-3080840, 1
Factor 4*d**3 - 9576*d**2 + 218660*d - 1251888.
4*(d - 