e f, given that -f**4 - 227*f**3 - 10136*f**2 - 37852*f - 36960 = 0.
-168, -55, -2
Factor 5*n**2 - 86584120*n + 374840491808720.
5*(n - 8658412)**2
Solve f**4 - 213*f**3 - 110063*f**2 + 25671525*f - 25561250 = 0 for f.
-338, 1, 275
Find q, given that -3*q**2/8 - 12961491*q/4 - 129614835/8 = 0.
-8640989, -5
Solve -g**4/2 - 128*g**3/5 + 9319*g**2/10 - 8547*g + 113256/5 = 0.
-78, 24/5, 11
Find h, given that 2*h**2/7 + 6898*h/7 + 1064988/7 = 0.
-3287, -162
Determine b, given that 5*b**5 + 3075515*b**4 + 472919634135*b**3 - 6148564210555*b**2 - 13715875021480*b - 7094394252300 = 0.
-307558, -1, 15
What is a in 765*a**5 + 45600*a**4 + 898570*a**3 + 6661220*a**2 + 12806905*a - 776580 = 0?
-28, -43/3, -3, 1/17
Suppose -14*x**4 + 8826334*x**3 - 1391174296422*x**2 + 8942946489506*x - 7551781019404 = 0. What is x?
1, 38/7, 315223
What is c in -3*c**3/4 + 5883*c**2/4 - 93525*c/4 + 320925/4 = 0?
5, 11, 1945
Let 48*r**4/7 + 19370*r**3 + 95535602*r**2/7 - 43943888*r + 30276568 = 0. Calculate r.
-1414, 1, 53/24
Factor 2*s**2/5 + 1885560*s + 2222085321000.
2*(s + 2356950)**2/5
Let 2*u**3/13 - 656*u**2/13 - 742*u/13 + 27636/13 = 0. Calculate u.
-7, 6, 329
What is g in -269*g**3 - 47880*g**2 + 1183956*g - 8800 = 0?
-200, 2/269, 22
Solve 2*j**4/3 - 6838*j**3/3 - 61754*j**2/3 + 171334*j/3 + 75416 = 0.
-11, -1, 3, 3428
Factor -a**2 - 381*a + 181332.
-(a - 276)*(a + 657)
Factor f**2/10 + 12024299*f/5 + 144583766441401/10.
(f + 12024299)**2/10
Factor -3*r**2/4 - 2572218*r - 5144433.
-3*(r + 2)*(r + 3429622)/4
Find g, given that g**2 + 48753634*g + 594229207051489 = 0.
-24376817
Find h, given that -2*h**3/9 - 1072*h**2/3 - 27766*h - 427560 = 0.
-1527, -60, -21
Suppose -343*n**4/4 + 1555603*n**3/4 - 581706279*n**2 + 277366143780*n + 14361993203184 = 0. Calculate n.
-47, 10692/7
Solve -3*n**5 + 756*n**4 - 43905*n**3 - 232524*n**2 - 378804*n - 190944 = 0.
-2, -1, 104, 153
Solve -3*a**3 + 49515090*a**2 - 204312060990756*a + 408623923921176 = 0 for a.
2, 8252514
What is g in -2*g**5/11 - 1264*g**4/11 + 438090*g**3/11 - 38696536*g**2/11 + 1063078912*g/11 - 1024819200/11 = 0?
-900, 1, 64, 139
What is c in -2*c**3/5 - 796*c**2/5 + 45798*c/5 = 0?
-449, 0, 51
Factor -m**2/10 + 23780307*m/5 + 47560616/5.
-(m - 47560616)*(m + 2)/10
Factor h**2/2 - 193605185*h + 37482967658884225/2.
(h - 193605185)**2/2
Suppose -8*i**5/3 + 94963*i**4/6 + 820401*i**3/2 + 685539*i**2 - 143064*i = 0. What is i?
-24, -2, 0, 3/16, 5961
Factor 13*r**2/3 + 29942*r + 20727.
(r + 6909)*(13*r + 9)/3
Let v**5/7 + 480730*v**4/7 = 0. Calculate v.
-480730, 0
Factor 4*f**2 + 504169840*f + 15886701722851600.
4*(f + 63021230)**2
Let -12*x**2/5 + 39190083*x/5 - 9797517 = 0. What is x?
5/4, 3265839
Suppose 9*x**4 + 250980*x**3 - 46493061*x**2 + 2153806296*x - 712778832 = 0. What is x?
-28071, 1/3, 92
Let -v**5/6 - 7130*v**4/3 - 25482515*v**3/3 - 456612770*v**2/3 - 1673613025*v/6 - 405669128/3 = 0. Calculate v.
-7121, -16, -1
Factor 3*m**2 + 145598262*m + 1766571158118387.
3*(m + 24266377)**2
Determine b, given that 2*b**4 - 16*b**3 - 158*b**2 + 844*b + 3360 = 0.
-7, -3, 8, 10
Determine a, given that -4*a**5 - 24876*a**4 - 148632*a**3 + 2986336*a**2 + 25454592*a + 38172672 = 0.
-6213, -8, -2, 12
Factor -269*x**2/6 + 1116265*x/2 - 87143/3.
-(x - 12449)*(269*x - 14)/6
Factor -3*m**3 + 794172*m**2 - 9529740*m + 28588896.
-3*(m - 264712)*(m - 6)**2
Let -6*x**3 + 53978*x**2/3 + 94100*x + 228304/3 = 0. Calculate x.
-38/9, -1, 3004
Solve 401*p**4/7 - 400*p**3/7 - 3610*p**2/7 + 3600*p/7 + 9/7 = 0.
-3, -1/401, 1, 3
Let z**4 + 291*z**3 + 2733*z**2 - 21931*z - 82614 = 0. What is z?
-281, -14, -3, 7
Factor 12*d**2 + 57561824*d + 38374544.
4*(d + 4796818)*(3*d + 2)
Let x**4/7 - 4407*x**3/7 + 699588*x**2/7 + 1452100*x/7 - 809616 = 0. What is x?
-4, 2, 167, 4242
Factor -5*r**2 - 147989695*r - 147989690.
-5*(r + 1)*(r + 29597938)
Factor -2*l**2 + 12104*l - 18170774.
-2*(l - 3293)*(l - 2759)
Find h, given that -10*h**5/7 + 80768*h**4/7 - 225906*h**3/7 - 1340132*h**2/7 - 1227224*h/7 - 193776/7 = 0.
-2, -1, -1/5, 6, 8074
Find j, given that j**3/2 - 11723*j**2/2 + 52702*j + 128854 = 0.
-2, 11, 11714
Factor 18*k**3/7 + 10596*k**2/7 + 1551104*k/7 + 67188032/7.
2*(k + 394)*(3*k + 292)**2/7
Factor -5*d**3 - 213655*d**2 + 854680*d - 854700.
-5*(d - 2)**2*(d + 42735)
Determine o so that 7*o**4/3 + 332*o**3/3 - 3484*o**2/3 - 94640*o/3 = 0.
-52, -14, 0, 130/7
Let 58*j**5/7 - 42866*j**4/7 + 425776*j**3/7 - 29160*j**2/7 = 0. Calculate j.
0, 2/29, 10, 729
Suppose -2*x**4/13 - 101700*x**3/13 + 70416*x**2 - 2746332*x/13 + 2746386/13 = 0. What is x?
-50859, 3
Find i, given that -2*i**3 - 8452*i**2 + 2251774*i - 107815680 = 0.
-4480, 63, 191
What is m in 2*m**3/15 + 7028*m**2/3 + 897814*m/5 - 559776 = 0?
-17493, -80, 3
What is i in i**5/10 - 5139*i**4/10 + 154611*i**3/5 + 1360352*i**2/5 + 2803056*i/5 = 0?
-4, 0, 69, 5078
Determine t so that -2*t**4/7 + 164650*t**3 + 2*t**2 - 8067862*t/7 + 987900 = 0.
-3, 1, 2, 576275
Factor 144431*l**3/2 + 288877*l**2/2 + 144461*l/2 + 15/2.
(l + 1)**2*(144431*l + 15)/2
Factor -2*g**3/9 - 37462*g**2/3 - 526031954*g/3 + 20534243834/9.
-2*(g - 13)*(g + 28103)**2/9
Let -m**5 - 147*m**4 - 1339*m**3 + 344127*m**2 + 345320*m = 0. Calculate m.
-97, -89, -1, 0, 40
Let -7026*r**2/5 + 9695882*r/5 - 552 = 0. What is r?
1/3513, 1380
Factor -4*a**2/5 + 73441048*a/5 - 337099220708644/5.
-4*(a - 9180131)**2/5
Suppose 8724*h**3 + 2971*h**2 + 21*h = 0. Calculate h.
-1/3, -21/2908, 0
Factor -x**3/7 + 1028*x**2 + 580480*x/7 + 11641600/7.
-(x - 7276)*(x + 40)**2/7
Find q such that -4*q**3 - 3056464*q**2 - 583867148480*q + 2335517497600 = 0.
-382060, 4
Determine c so that c**2/5 + 20407*c/5 - 753594 = 0.
-20590, 183
Let -20*a**5 - 16535*a**4 - 143465*a**3 - 257580*a**2 + 73620*a = 0. What is a?
-818, -6, -3, 0, 1/4
Determine d so that -3*d**5/5 + 7992*d**4/5 + 713328*d**3/5 + 12926502*d**2/5 - 119924589*d/5 + 36461754 = 0.
-47, 2, 5, 2751
Solve 3*f**3 + 9459*f**2 + 2087892*f - 4213644 = 0.
-2914, -241, 2
What is v in v**5/3 - 15900*v**4 - 1240744*v**3/3 - 6299584*v**2/3 - 3945296*v - 7636160/3 = 0?
-20, -2, 47726
Suppose -20*h**5/7 + 2703348*h**4/7 + 4325444*h**3/7 - 4866052*h**2/7 - 4325424*h/7 + 2162704/7 = 0. What is h?
-2, -1, 2/5, 1, 135169
Factor -3*p**3/8 - 16551063*p**2/8 + 297919863*p/8 - 1340640477/8.
-3*(p - 9)**2*(p + 5517039)/8
Suppose f**3 + 2099*f**2 + 1128567*f + 180918837 = 0. Calculate f.
-1373, -363
Find r, given that -r**3/5 + 260002*r**2/5 - 3380883853*r + 108135041440 = 0.
32, 129985
Factor -4*q**3 - 46276*q**2 - 159595520*q - 140900891600.
-4*(q + 1349)*(q + 5110)**2
Suppose -2*q**4 - 2016*q**3 - 626100*q**2 - 54799472*q + 289903110 = 0. What is q?
-427, -159, 5
Factor 2*a**3 + 3120*a**2 + 1201816*a - 2416128.
2*(a - 2)*(a + 704)*(a + 858)
Suppose -2*f**2/3 - 19716*f - 96795552 = 0. Calculate f.
-23358, -6216
Determine a, given that 12*a**5 + 39764*a**4 - 816556*a**3 - 10200836*a**2 + 4016224*a + 6961392 = 0.
-3334, -9, -2/3, 1, 29
Factor 8*q**3 - 3726724*q**2 + 14906800*q - 14906768.
4*(q - 2)**2*(2*q - 931673)
Factor -j**2 + 3127490*j - 6254976.
-(j - 3127488)*(j - 2)
Factor 2*a**2 + 3679776*a + 1692593926272.
2*(a + 919944)**2
Factor -v**3 + 233196*v**2 + 233197*v.
-v*(v - 233197)*(v + 1)
Factor 4*l**2/7 + 1799136*l + 1416139526592.
4*(l + 1574244)**2/7
Factor -2*b**3/7 - 94134*b**2/7 - 158134986*b + 2375051490.
-2*(b - 15)*(b + 23541)**2/7
Suppose -9*t**5/2 - 1335*t**4/2 - 1713*t**3/2 + 7515*t**2/2 + 1323*t = 0. What is t?
-147, -3, -1/3, 0, 2
Factor -o**3 - 778414*o**2 + 3113668*o - 3113672.
-(o - 2)**2*(o + 778418)
Factor 2*f**3/3 + 50*f**2/3 - 6424*f/3 - 37944.
2*(f - 54)*(f + 17)*(f + 62)/3
Determine z so that 2*z**5/7 - 416*z**4/7 - 23796*z**3/7 - 44640*z**2/7 + 68850*z/7 = 0.
-45, -3, 0, 1, 255
Factor -f**2/9 - 8862650*f/3 - 19636641255625.
-(f + 13293975)**2/9
Suppose -i**4/5 - 9*i**3 + 105684*i**2/5 - 5724656*i/5 + 79036608/5 = 0. Calculate i.
-372, 28, 271
Find v, given that -30*v**3 - 22105*v**2 - 826925*v - 407940 = 0.
-2092/3, -39, -1/2
Determine w, given that 1764*w**4 - 56750925*w**3 - 15539082*w**2 + 193032*w = 0.
-2/7, 0, 1/84, 32172
Factor -t**3/4 - 75977*t**2/4 - 361322260*t - 20533702800.
-(t + 57)*(t + 37960)**2/4
Factor -o**4/4 - 1465*o**3/2 + 26126123*o**2/4 + 10354747455*o - 4995785383