
-777, 0, 1121
Find y, given that y**3/3 - 18011*y**2/3 + 80945720*y/3 + 1381287332/3 = 0.
-17, 9014
Determine b, given that -36*b**3 + 3220160*b**2 + 13239028*b + 1431248 = 0.
-4, -1/9, 89453
What is p in 4*p**2 - 17044*p - 121060280 = 0?
-3769, 8030
Factor -3*h**3/2 + 57*h**2/2 + 11832*h - 489462.
-3*(h - 58)**2*(h + 97)/2
Suppose 4*k**5/7 - 2668136*k**4/7 - 58700576*k**3/7 - 234803544*k**2/7 - 112066020*k/7 + 408238272/7 = 0. What is k?
-17, -3, 1, 667056
Suppose -n**5 + 133*n**4 - 1998*n**3 + 2948*n**2 + 8008*n - 13920 = 0. What is n?
-2, 2, 15, 116
Find k, given that 9*k**3/2 - 7298*k**2 - 16238*k - 3248 = 0.
-2, -2/9, 1624
Factor 2*s**3/3 - 9710*s**2/3 + 3283082*s + 1626616794.
2*(s - 2607)**2*(s + 359)/3
Determine u so that -2*u**4/5 + 246*u**3/5 - 3144*u**2/5 - 272992*u/5 - 2356608/5 = 0.
-17, -12, 76
Find u such that -3*u**4/2 + 825*u**3/2 + 1082595*u**2/2 - 7623825*u/2 - 4352796 = 0.
-483, -1, 8, 751
Solve -2*j**5/11 - 468*j**4 - 2353308*j**3/11 + 118984960*j**2 - 7788911250*j/11 + 11651179500/11 = 0.
-1445, 3, 310
Factor -u**3/4 + 617*u**2/4 + 3428689*u/4 + 1857998887/4.
-(u - 2383)*(u + 883)**2/4
Factor -q**2/4 - 614827*q/4 - 1075935.
-(q + 7)*(q + 614820)/4
Factor -t**4 - 96737908*t**3 - 2339555711054116*t**2.
-t**2*(t + 48368954)**2
Let -k**3 - 9938509*k**2 - 39754024*k - 39754020 = 0. Calculate k.
-9938505, -2
Factor 5*g**3 - 1954005*g**2 - 15632405*g + 17586405.
5*(g - 390809)*(g - 1)*(g + 9)
Let 12*m**3 + 85010247*m**2 + 21252561*m = 0. What is m?
-7084187, -1/4, 0
Let -3*n**4/7 + 104424*n**3/7 - 995736573*n**2/7 + 1476504909000*n/7 + 1477500750000/7 = 0. Calculate n.
-1, 1809, 16500
Factor -6*s**5/7 + 1692*s**4 - 6770952*s**3/7 + 286978140*s**2/7 + 495123384942*s/7.
-6*s*(s - 729)**3*(s + 213)/7
Factor y**2/3 + 12778*y/3 + 11660755.
(y + 3973)*(y + 8805)/3
Solve -v**5 + 193*v**4 + 6501*v**3 - 69901*v**2 + 161332*v - 98124 = 0.
-37, 1, 2, 6, 221
Factor -4*f**2/7 - 8388*f/7 - 2434608/7.
-4*(f + 348)*(f + 1749)/7
Find g, given that -g**3/5 + 166084*g**2 - 1660837*g/5 + 830418/5 = 0.
1, 830418
Let 2*j**3 - 11434*j**2 - 2058848*j - 91270784 = 0. What is j?
-88, 5893
Solve 9112500*r**5 - 391851000*r**4 + 2296930505*r**3 - 3402215*r**2 + 1260*r = 0.
0, 1/1350, 7, 36
Determine w so that w**2 - 1338892*w + 448157946916 = 0.
669446
Factor -q**2 - 6974994*q - 34874945.
-(q + 5)*(q + 6974989)
Solve 3*m**3/2 - 873*m**2/2 + 8040*m + 125550 = 0 for m.
-10, 31, 270
Find h, given that h**2/5 - 21372*h/5 + 4506867/5 = 0.
213, 21159
Factor 14*g**2/5 - 3669418*g/5 - 3669432/5.
2*(g + 1)*(7*g - 1834716)/5
Find m, given that -14*m**5/5 - 73237*m**4/5 - 127760174*m**3/5 - 74417099148*m**2/5 - 164309842116*m/5 - 90020429919/5 = 0.
-1743, -17/14, -1
Suppose 2*m**3/21 - 8102716*m**2/21 - 2*m/21 + 8102716/21 = 0. Calculate m.
-1, 1, 4051358
What is n in 2*n**3 - 2712*n**2/11 + 26042*n/11 - 56952/11 = 0?
36/11, 7, 113
Determine s so that 274683*s**2/4 + 1510757*s/2 + 11/4 = 0.
-11, -1/274683
Determine q so that -3*q**2 + 18033*q + 35871336 = 0.
-1576, 7587
Determine b, given that 5*b**4 - 405*b**3 + 7545*b**2 + 45305*b - 756450 = 0.
-10, 9, 41
Solve -63*w**4 + 2075781*w**3 + 4351725*w**2 - 72261333*w - 6919710 = 0.
-7, -2/21, 5, 32951
What is w in w**5/7 - 10541*w**4/7 + 27751807*w**3/7 + 138938281*w**2/7 + 222394048*w/7 + 111218116/7 = 0?
-2, -1, 5273
Factor f**3/2 - 89856*f**2 + 4032373800*f + 420339320128.
(f - 89908)**2*(f + 104)/2
Suppose 3*b**3/8 + 68313*b**2/8 - 752001*b/4 + 957306 = 0. What is b?
-22793, 8, 14
What is d in d**2/3 + 3817*d/3 - 537608/3 = 0?
-3953, 136
Find b, given that 20*b**2 - 3646052*b + 53228096 = 0.
73/5, 182288
Find h such that 4*h**4 + 5788*h**3 + 1227992*h**2 + 79735040*h + 1028708352 = 0.
-1206, -112, -17
Let -g**4/2 - 25858*g**3 - 333826419*g**2 + 12713421854*g - 241732505569/2 = 0. Calculate g.
-25877, 19
Determine b so that 2*b**4 + 1620*b**3 + 299488*b**2 + 3381324*b + 3083454 = 0.
-537, -261, -11, -1
Find y, given that 148*y**2/9 - 16208*y/3 - 394160 = 0.
-2274/37, 390
Factor -s**2/3 + 3508*s/3 - 1018689.
-(s - 1897)*(s - 1611)/3
Find p such that -3*p**3/2 + 1539*p**2/4 - 1650*p - 12852 = 0.
-4, 17/2, 252
Let i**4/4 - 956*i**3 - 15359*i**2 - 3924*i + 322560 = 0. Calculate i.
-14, -6, 4, 3840
Determine o so that -2*o**5 - 3694*o**4 - 188150*o**3 + 3622470*o**2 + 16788312*o + 12981384 = 0.
-1794, -67, -3, -1, 18
Let 14*p**5 + 14320*p**4 + 626456*p**3 - 761324*p**2 - 1189798*p + 183676 = 0. Calculate p.
-977, -47, -1, 1/7, 2
Let 5*f**2 - 1080800*f - 160067920 = 0. What is f?
-148, 216308
Determine o so that 4*o**3 - 88000*o**2 + 491049268*o - 77257515528 = 0.
162, 10919
Solve 5*u**2 - 358667900*u + 6432133124520500 = 0.
35866790
Suppose 7*q**5/2 - 74857*q**4 - 342229*q**3/2 - 117644*q**2 - 21390*q = 0. What is q?
-1, -2/7, 0, 21390
Determine g, given that -3*g**2/2 + 13013451*g - 56449968976467/2 = 0.
4337817
Determine j, given that -4*j**3 + 120*j**2 + 2236*j = 0.
-13, 0, 43
Solve -24*k**3/7 + 171730*k**2/7 + 1992336*k/7 + 645030/7 = 0.
-45/4, -1/3, 7167
Determine w, given that 3*w**5 - 6729*w**4 + 80478*w**3 - 361746*w**2 + 723087*w - 542133 = 0.
3, 2231
Factor -5*v**3 - 1362405*v**2 + 35425065*v - 230268415.
-5*(v - 13)**2*(v + 272507)
Find b, given that 5476*b**4 + 5424851792*b**3 + 1343544159653776*b**2 - 580992829866240*b + 62810063078400 = 0.
-495330, 8/37
Let 54*x**2 + 10175534*x + 8291140 = 0. What is x?
-188435, -22/27
Solve -964*v**3/3 + 241715*v**2/3 + 62497*v/3 + 502/3 = 0 for v.
-1/4, -2/241, 251
Suppose -i**3/3 + 1700644*i**2 - 5101931*i/3 = 0. Calculate i.
0, 1, 5101931
Solve 4*c**5 - 5500*c**4 + 1886716*c**3 + 1892220*c**2 = 0.
-1, 0, 671, 705
Let -4*d**2 + 380988*d - 1523888 = 0. What is d?
4, 95243
Solve -q**2/11 - 1129512*q/11 - 15812972/11 = 0.
-1129498, -14
Factor 2*v**2/5 - 21186*v/5 + 56105824/5.
2*(v - 5297)*(v - 5296)/5
Solve k**4/2 - 10121*k**3/2 - 702742*k**2 + 707802*k = 0 for k.
-138, 0, 1, 10258
Find a, given that -435*a**4/2 + 65421*a**3/2 - 1234311*a**2 + 715878*a + 485940 = 0.
-2/5, 1, 70, 2314/29
Factor -2*z**2 - 620358*z - 24190920.
-2*(z + 39)*(z + 310140)
Factor 2*w**2 - 10970*w/3 + 48400.
2*(w - 1815)*(3*w - 40)/3
Find z such that z**3 + 85*z**2 - 16797*z + 425799 = 0.
-187, 33, 69
Factor -5*n**3/2 + 175341*n**2 - 70136*n.
-n*(n - 70136)*(5*n - 2)/2
Determine j so that 2*j**2/5 - 332970996*j/5 + 13858710522154002/5 = 0.
83242749
Solve -5*o**5 + 3725*o**4 - 256590*o**3 - 187638020*o**2 + 1898364200*o = 0 for o.
-181, 0, 10, 458
Determine x, given that -67*x**3/4 - 133*x**2/2 + 48583*x/4 - 725/2 = 0.
-29, 2/67, 25
Find j, given that 5*j**2 + 1199089880*j + 71890827015920720 = 0.
-119908988
Suppose 378634*k**4 + 2936382*k**3 - 13597875*k**2/2 - 1153100*k - 47250 = 0. Calculate k.
-1890/197, -5/62, 2
Factor -2*m**3 + 81594*m**2 + 408012*m + 326416.
-2*(m - 40802)*(m + 1)*(m + 4)
Suppose 4*u**4 + 1100*u**3 + 85400*u**2 + 2224000*u + 18480000 = 0. What is u?
-165, -70, -20
Find z such that -4*z**5 + 518924*z**4 + 2075772*z**3 - 1556780*z**2 - 5189432*z + 4151520 = 0.
-4, -2, 1, 129735
Factor -5*x**2 - 6073595*x + 24294460.
-5*(x - 4)*(x + 1214723)
Suppose 2*l**2/5 - 152284*l/5 + 304528 = 0. Calculate l.
10, 76132
Let -16*x**5/3 - 7784*x**4 + 3790245*x**3 - 5672223*x**2 + 2125440*x = 0. Calculate x.
-1845, 0, 3/4, 384
Determine l, given that -998*l**3/13 - 45054*l**2/13 - 50392*l/13 - 6336/13 = 0.
-44, -1, -72/499
Determine c so that 98*c**5 - 27580*c**4 - 3977434*c**3 + 26786044*c**2 + 16277800*c + 2371600 = 0.
-110, -2/7, 7, 385
Let 2197*h**4 + 137145190*h**3 + 2721227652*h**2 + 18000695432*h + 39692438624 = 0. Calculate h.
-62404, -86/13
Factor -663*c**2 + 33849*c.
-3*c*(221*c - 11283)
Factor -4*h**2 - 19228*h + 57720.
-4*(h - 3)*(h + 4810)
Factor r**2/7 + 34763*r/7 + 417012/7.
(r + 12)*(r + 34751)/7
Find s, given that -33*s**4/2 - 498*s**3 + 8688*s**2 + 21000*s + 3528 = 0.
-42, -2, -2/11, 14
Factor -64*u**2/7 + 2686787*u/7 - 125943/7.
-(u - 41981)*(64*u - 3)/7
Let b**5/9 + 40130*b**4/3 + 3611053*b**3/9 + 3383500*b**2 + 50551396*b/9 + 7863520/3 = 0. What is b?
-120360, -14, -1
Suppose -g**2/4 + 6725391*g - 45230884102881 = 0. What is g?
13450782
Solve 2*r**5/7 + 9784*r**4/7 + 5742812*r**3/7 + 907156280*r**2/7 + 1797123250*r/7 + 895700000/7 = 0.
-4240, -325, -1
Suppose -7*o**3/2 