6754, -36, 1, 2
Find s, given that 320*s**5 + 80240*s**4 - 12359275*s**3 + 27440615*s**2 - 6281440*s + 380540 = 0.
-359, 1/8, 2, 106
Factor x**2/5 - 33632*x/5 - 403728/5.
(x - 33644)*(x + 12)/5
Determine s, given that 4*s**3 + 7023192*s**2 + 3082812570372*s - 12331362652816 = 0.
-877901, 4
Factor -2*y**3/11 + 13044520*y**2/11 - 21269911664736*y/11 - 85079855371392/11.
-2*(y - 3261132)**2*(y + 4)/11
Solve -4*x**5 + 421640*x**4 - 11103675220*x**3 - 400223230000*x**2 - 1469322524560*x + 43052221722752 = 0.
-22, 8, 52723
Find a, given that 5*a**3 - 6240*a**2 + 1010620*a - 5840160 = 0.
6, 184, 1058
Factor -j**3/5 + 5793744*j**2/5 - 1678374635625*j + 16783723181282/5.
-(j - 2896871)**2*(j - 2)/5
What is b in b**3/6 + 263017*b**2/3 = 0?
-526034, 0
Factor -h**2/2 - 59370198*h - 1762410205279602.
-(h + 59370198)**2/2
Let -4563*h**5 + 588471*h**4 + 14844488*h**3/3 + 10170748*h**2 + 343392*h + 8768/3 = 0. What is h?
-4, -2/117, 137
Factor 2*o**5/7 - 150396*o**4/7 + 150394*o**3/7.
2*o**3*(o - 75197)*(o - 1)/7
Factor 4*s**3 - 2952*s**2 + 517376*s - 2022528.
4*(s - 458)*(s - 276)*(s - 4)
Suppose -2*b**4/17 + 27876*b**3/17 - 71333082*b**2/17 - 190479412160*b/17 - 11200473600 = 0. Calculate b.
-1581, -1, 7760
Factor -g**2/7 + 5676*g/7 + 153981/7.
-(g - 5703)*(g + 27)/7
Suppose 90*k**5/11 + 1457538*k**4/11 - 11858790*k**3/11 + 29261310*k**2/11 - 21193380*k/11 + 212112 = 0. Calculate k.
-16203, 2/15, 1, 3, 4
Factor -13*i**3 - 2044*i**2 - 8427*i - 1836.
-(i + 4)*(i + 153)*(13*i + 3)
Solve -2*p**3/5 - 526*p**2/5 - 5918*p - 27010 = 0.
-185, -73, -5
Let -g**2 + 1175262*g - 41132945 = 0. What is g?
35, 1175227
Factor w**2/4 + 21154*w - 380853.
(w - 18)*(w + 84634)/4
Determine u so that 2*u**4/9 + 2152*u**3/9 + 126688*u**2/3 + 2094944*u + 4022880 = 0.
-870, -102, -2
Determine h so that 239444397468081*h**2 - 61895964*h + 4 = 0.
2/15473991
Factor 3*b**4 - 37815*b**3 + 37812*b**2.
3*b**2*(b - 12604)*(b - 1)
Determine u, given that -3*u**2 + 6408180*u - 3422064242700 = 0.
1068030
Determine b, given that 39*b**2 + 125202*b - 86697 = 0.
-3211, 9/13
Let q**2 + 177887*q - 2846448 = 0. Calculate q.
-177903, 16
Factor q**3/2 + 149*q**2 + 25621*q/2 + 247104.
(q + 27)*(q + 128)*(q + 143)/2
Let 2*f**5/5 + 2708*f**4/15 + 352712*f**3/15 + 5118676*f**2/5 + 105834706*f/15 + 6717008/3 = 0. Calculate f.
-265, -89, -8, -1/3
Factor n**3 - 5331807*n**2 + 7107054800811*n - 35535140709005.
(n - 2665901)**2*(n - 5)
Let m**2/8 - 5689*m - 341790 = 0. What is m?
-60, 45572
Factor -2*h**2 + 155348*h - 3106160.
-2*(h - 77654)*(h - 20)
Factor 2*y**2/9 - 112210*y/9 + 187000/3.
2*(y - 56100)*(y - 5)/9
Find p, given that -2*p**4/9 + 77626360*p**3/9 - 251077131076612*p**2/3 - 1506463019338760*p/9 - 753231548482562/9 = 0.
-1, 19406591
Solve -u**4/4 + 16283133*u**3/4 + 65132543*u**2/4 + 81415683*u/4 + 16283137/2 = 0.
-2, -1, 16283137
Factor -2*b**2/11 + 36637520*b/11 - 167788483968800/11.
-2*(b - 9159380)**2/11
Factor -4*f**2/7 + 412548*f - 2887832/7.
-4*(f - 721958)*(f - 1)/7
Suppose a**2/2 + 3787376*a + 7172108482688 = 0. What is a?
-3787376
Solve h**5/3 + 1280*h**4 + 163017*h**3 - 1501736*h**2/3 + 5124*h + 667440 = 0 for h.
-3708, -135, -1, 2
Factor -3*p**2 + 25818*p - 50280552.
-3*(p - 5628)*(p - 2978)
Find s, given that -16614*s**4/7 - 34392*s**3/7 + 130568*s**2/7 + 9280*s/7 + 128/7 = 0.
-4, -2/39, -4/213, 2
Find h, given that 3*h**2 - 14628*h + 12753729 = 0.
1137, 3739
Factor 2*u**2/9 + 521840*u/9 - 11481448/9.
2*(u - 22)*(u + 260942)/9
What is z in z**2 + 143185426*z + 5125516554700369 = 0?
-71592713
Determine r, given that 2*r**2 - 2084594*r - 37523340 = 0.
-18, 1042315
What is z in -54*z**3/5 - 79086*z**2 + 527360*z/3 - 293000/3 = 0?
-7325, 10/9
Determine b so that 4*b**2 - 19022720*b = 0.
0, 4755680
Determine s, given that 5*s**4/3 - 18884*s**3 - 487525*s**2/3 - 196552*s + 317492/3 = 0.
-7, -2, 2/5, 11339
Let -i**5 - 3653*i**4 - 3648*i**3 + 14612*i**2 + 14608*i = 0. Calculate i.
-3652, -2, -1, 0, 2
Factor 4*t**3 + 3753008*t**2 + 63799980*t.
4*t*(t + 17)*(t + 938235)
Factor -4*a**2/5 - 305941176*a/5 - 5850000198266436/5.
-4*(a + 38242647)**2/5
Determine b so that 2*b**5/3 + 4322*b**4/3 - 199178*b**3/3 - 1358786*b**2/3 + 35752112*b - 35234232 = 0.
-2206, -22, 1, 33
Factor -3*b**3/7 - 419115*b**2/7 - 14637486576*b/7 + 43916231844/7.
-3*(b - 3)*(b + 69854)**2/7
Suppose 3*j**5/7 + 118*j**4 - 149053*j**3/7 + 5430468*j**2/7 - 3504996*j/7 - 1777248/7 = 0. What is j?
-408, -1/3, 1, 66
Factor 5*p**2 - 97865*p - 54408370.
5*(p - 20114)*(p + 541)
Factor 5*y**2 + 6617140*y + 6617135.
5*(y + 1)*(y + 1323427)
Let -3*v**2/2 + 8692785*v/2 - 4346391 = 0. What is v?
1, 2897594
Find q, given that 14*q**3 + 8030992*q**2 + 10325542*q + 2294564 = 0.
-573641, -1, -2/7
Suppose -m**3/2 - 661*m**2/2 + 97129*m/2 - 1599971/2 = 0. Calculate m.
-787, 19, 107
Determine g, given that -g**2/5 - 3787558*g/5 - 3586398900841/5 = 0.
-1893779
Factor -5*m**2 + 5645940*m - 101625300.
-5*(m - 1129170)*(m - 18)
Determine p so that 2*p**2 - 44422080*p + 246665148940800 = 0.
11105520
Factor -u**3/3 + 7435*u**2/3 - 22286*u/3 - 74320/3.
-(u - 7432)*(u - 5)*(u + 2)/3
Find o such that 20*o**5 - 935*o**4 + 8915*o**3 - 24905*o**2 + 26705*o - 9800 = 0.
1, 7/4, 8, 35
Find z such that -5*z**4 - 218725*z**3 + 3501260*z**2 + 16629580*z + 17504400 = 0.
-43761, -2, 20
Factor 4*i**3/3 + 2682032*i**2 + 16092176*i/3.
4*i*(i + 2)*(i + 2011522)/3
Let -5*t**5 + 5900*t**4 - 2443625*t**3 + 398813750*t**2 - 18395937500*t + 82311125000 = 0. What is t?
5, 65, 370
Find w such that -2*w**2/11 + 97780*w/11 - 293322/11 = 0.
3, 48887
Suppose -2*w**4/9 - 125678*w**3/9 + 2138074*w**2/3 - 3899090*w + 5660100 = 0. What is w?
-62890, 3, 45
Factor 3675*k**2 - 11578140*k + 9119273868.
3*(35*k - 55134)**2
Let -2*s**3/9 - 25596*s**2 - 23756230*s/3 - 5519599600/9 = 0. What is s?
-114872, -155
Factor p**4/8 + 3073*p**3/4 - 73861*p**2/8 + 107765*p/4.
p*(p - 7)*(p - 5)*(p + 6158)/8
Determine r so that 4*r**3 - 443496*r**2 + 9311868*r - 23944248 = 0.
3, 18, 110853
Factor -u**2/2 - 181571*u/2 - 1724744.
-(u + 19)*(u + 181552)/2
Factor 2040*h**3 - 10562*h**2 - 8472*h.
2*h*(17*h + 12)*(60*h - 353)
What is k in -3*k**3 - 4440150*k**2 = 0?
-1480050, 0
Solve -2*n**5 + 602842*n**4 + 4822838*n**3 + 7837142*n**2 + 3617148*n = 0.
-6, -1, 0, 301429
Determine y, given that -3*y**2/4 + 1539633*y/2 - 3079254 = 0.
4, 1026418
Solve -2*b**2/11 - 26444840*b/11 - 26444838/11 = 0 for b.
-13222419, -1
Solve -b**2 - 297394718*b - 22110904573574881 = 0 for b.
-148697359
Determine r so that 16*r**5/5 - 6825748*r**4/5 + 970642980468*r**3/5 - 9201921938141868*r**2 + 11502341757597708*r/5 = 0.
0, 1/4, 142203
Let 12*n**3 + 126781491*n**2 + 158476848*n + 31695369 = 0. What is n?
-10565123, -1, -1/4
Let 4*t**4 + 88764*t**3 + 11406180*t**2 + 489829684*t + 7016333736 = 0. Calculate t.
-22062, -43
Suppose 3*d**3 - 13281555*d**2 + 26563101*d - 13281549 = 0. What is d?
1, 4427183
Let h**2/8 - 211581*h/4 + 13963257/8 = 0. What is h?
33, 423129
Find o, given that o**4/7 - 1056*o**3/7 - 4471*o**2 - 26040*o = 0.
-21, -8, 0, 1085
Find m, given that 2*m**2/15 - 319214516*m/15 + 106404838/5 = 0.
1, 159607257
Determine s, given that 42021*s**3 - 1532715*s**2 - 1579908*s - 5172 = 0.
-1, -2/609, 862/23
Determine w so that -w**3/6 - 6895*w**2/2 + 3448*w + 20686/3 = 0.
-20686, -1, 2
Factor -5*g**3/2 + 8375*g**2/2 + 10970785*g/2 + 2787868845/2.
-5*(g - 2601)*(g + 463)**2/2
Solve -2*h**3/7 - 16300*h**2/7 + 26198016*h/7 + 312408539136/7 = 0 for h.
-6144, 4138
Solve 72*l**5 - 5712*l**4 - 285574*l**3 + 110670*l**2 + 766000*l + 399000 = 0 for l.
-35, -5/6, 2, 114
Factor 3*r**3/7 + 403923*r**2/7 + 13603215057*r/7 + 67945407135.
3*(r + 35)*(r + 67303)**2/7
What is u in -5*u**2 - 10275*u + 4852980 = 0?
-2451, 396
Determine i so that -5*i**3 - 2120*i**2 - 20645*i + 22770 = 0.
-414, -11, 1
Let -5*r**5/8 - 106*r**4 - 39385*r**3/8 - 154055*r**2/4 - 19440*r + 14256 = 0. What is r?
-88, -72, -9, -1, 2/5
Let 4*n**4 - 80504*n**3 + 433780816*n**2 - 283823883720*n + 847569797100 = 0. Calculate n.
3, 753, 9685
Factor -4*i**2/7 - 4905984*i/7 - 29435760/7.
-4*(i + 6)*(i + 1226490)/7
Suppose -2*b**4/3 + 1714*b**3/3 - 70570*b**2 - 24167238*b - 24096096 = 0. What is b?
-144, -1, 501
Solve 5*u**2 - 6875*u + 1724250 = 0 for u.
330, 1045
Determine