 a so that -6*a**4/7 - 526*a**3/7 - 13644*a**2/7 - 99944*a/7 - 60720/7 = 0.
-46, -30, -11, -2/3
Factor 2*f**2/3 + 862*f/3 - 38704/3.
2*(f - 41)*(f + 472)/3
Determine l so that -l**3/2 + 1089*l**2/2 + 546*l - 1090 = 0.
-2, 1, 1090
Let 2*r**5 - 68*r**4 + 318*r**3 + 1620*r**2 = 0. Calculate r.
-3, 0, 10, 27
Let 5*q**3 + 415*q**2 + 3730*q + 5840 = 0. Calculate q.
-73, -8, -2
Factor f**2 + 22866*f + 130713489.
(f + 11433)**2
Factor 4*j**2/5 - 13344*j/5 + 39996/5.
4*(j - 3333)*(j - 3)/5
Suppose -5*j**2 - 3910100*j - 764444100500 = 0. What is j?
-391010
Factor -3*n**3 + 117768*n**2 + 706689*n + 1060074.
-3*(n - 39262)*(n + 3)**2
Solve 5*p**3 - 60*p**2 - 3420*p + 7040 = 0.
-22, 2, 32
Factor -3*f**3 - 420*f**2 - 3189*f - 2772.
-3*(f + 1)*(f + 7)*(f + 132)
Find x such that -x**2 + 7455*x + 59704 = 0.
-8, 7463
Factor 3*b**2 + 2607*b + 10380.
3*(b + 4)*(b + 865)
Find w such that 4*w**3 + 236*w**2 + 880*w = 0.
-55, -4, 0
Factor 6*a**4 - 410193*a**3/2 + 153819*a**2.
3*a**2*(a - 34182)*(4*a - 3)/2
Solve 2*l**2/9 - 65744*l/3 + 540284192 = 0 for l.
49308
Let 3*h**4/5 + 168*h**3/5 + 2403*h**2/5 + 4158*h/5 = 0. Calculate h.
-33, -21, -2, 0
Factor -4*d**2/17 - 101994*d/17 + 50998/17.
-2*(d + 25499)*(2*d - 1)/17
Suppose -48*v**5 - 21747*v**4 - 66159*v**3 - 4050*v**2 = 0. What is v?
-450, -3, -1/16, 0
Solve -4*v**2 + 65584*v - 268828816 = 0 for v.
8198
Find q such that 5*q**3/4 + 560178*q**2 + 251039961489*q/4 + 50207813041/2 = 0.
-224071, -2/5
Solve w**5/5 - 67*w**4/5 + 903*w**3/5 + 1215*w**2 + 4428*w/5 - 2268 = 0.
-3, 1, 30, 42
Factor -4*l**2 - 215308*l + 861296.
-4*(l - 4)*(l + 53831)
Find c, given that -4*c**4 - 50080*c**3 - 156900504*c**2 - 939250784*c + 1096201372 = 0.
-6257, -7, 1
What is s in 3*s**5/7 + 2607*s**4/7 + 16431*s**3 + 1184277*s**2/7 - 2724048*s/7 + 1422144/7 = 0?
-823, -24, 1
Factor 4*u**2 + 2775264*u + 481380641856.
4*(u + 346908)**2
Find s such that s**2/3 + 459190*s/3 + 52713864025/3 = 0.
-229595
Factor -u**3/3 + 217*u**2/3 - 4322*u/3 - 27160/3.
-(u - 194)*(u - 28)*(u + 5)/3
Factor 402*y**2 - 42202*y - 840.
2*(y - 105)*(201*y + 4)
Factor -k**2/2 + 12847*k - 165045409/2.
-(k - 12847)**2/2
Find y, given that 32*y**4 + 252*y**3 + 420*y**2 - 284*y - 420 = 0.
-5, -3, -7/8, 1
What is m in 5*m**3 + 1475*m**2 - 1490*m - 2960 = 0?
-296, -1, 2
Find h such that 4*h**2 - 5900*h - 150000 = 0.
-25, 1500
Factor -2*n**5 + 90*n**4 + 12*n**3 - 524*n**2 - 714*n - 270.
-2*(n - 45)*(n - 3)*(n + 1)**3
Factor 345*r**2/4 - 13111*r/2 + 38.
(r - 76)*(345*r - 2)/4
Factor -4*f**4/5 - 84192*f**3/5 - 590691072*f**2/5 - 1381429520384*f/5.
-4*f*(f + 7016)**3/5
Factor -394805*m**3 - 11443725*m**2 + 162960*m - 580.
-5*(m + 29)*(281*m - 2)**2
Factor 21*f**4 + 3*f**3 - 63*f**2 + 33*f + 6.
3*(f - 1)**2*(f + 2)*(7*f + 1)
What is z in -105*z**2 - 66890*z - 3185 = 0?
-637, -1/21
Factor 15*g**3 + 3367*g**2 + 4890*g - 3568.
(g + 2)*(g + 223)*(15*g - 8)
Factor -2*k**3/7 + 8990*k**2/7.
-2*k**2*(k - 4495)/7
Find y such that 2*y**5/9 + 164*y**4/9 + 298*y**3/9 - 1784*y**2/9 - 640*y/3 = 0.
-80, -4, -1, 0, 3
Let 5*u**4 - 7845*u**3 - 20*u**2 + 31380*u = 0. Calculate u.
-2, 0, 2, 1569
Let -3*z**2 + 528*z + 531 = 0. What is z?
-1, 177
Let 459*i**5 + 14490*i**4 + 88044*i**3 + 114168*i**2 + 51552*i + 6912 = 0. What is i?
-24, -6, -2/3, -4/17
Factor f**5/2 + 4860*f**4 + 11804939*f**3 - 23624460*f**2 + 23629321*f/2.
f*(f - 1)**2*(f + 4861)**2/2
What is o in -o**2 - 44814*o - 502073649 = 0?
-22407
Find u such that -6*u**4 + 228340*u**3 + 532840*u**2 - 532820*u - 228354 = 0.
-3, -1/3, 1, 38059
Determine w, given that w**5/2 + 387*w**4/2 + 30171*w**3/2 - 1484315*w**2/2 - 1528800*w - 771750 = 0.
-210, -1, 35
Factor 3*d**3 + 7272*d**2 + 414207*d + 5969418.
3*(d + 29)**2*(d + 2366)
Find o, given that 32*o**2 - 8852*o - 8884 = 0.
-1, 2221/8
Solve y**4/5 - 161*y**3/5 + 6234*y**2/5 + 19844*y/5 + 13448/5 = 0.
-2, -1, 82
Factor -2*w**3 - 496*w**2 - 22410*w - 282852.
-2*(w + 27)**2*(w + 194)
Factor x**2/4 + 85517*x/2 + 7313157289/4.
(x + 85517)**2/4
Factor p**2/4 + 10869*p/4 - 98145.
(p - 36)*(p + 10905)/4
Factor 20*n**2 + 2406395*n - 601600.
5*(n + 120320)*(4*n - 1)
Suppose 3*h**5 + 759*h**4 + 41037*h**3 - 893919*h**2 + 2383020*h - 1530900 = 0. What is h?
-135, 1, 2, 14
Solve j**2 - 29852*j + 222785476 = 0.
14926
Suppose 4*k**4 - 396*k**3 + 3660*k**2 + 342332*k = 0. Calculate k.
-23, 0, 61
Let 3*z**4/2 + 16215*z**3/2 + 16209*z**2 = 0. Calculate z.
-5403, -2, 0
Factor -s**3/2 - 64*s**2 - 706*s - 1160.
-(s + 2)*(s + 10)*(s + 116)/2
Determine j so that 4*j**5 - 172*j**4 - 73756*j**3 - 3014180*j**2 - 2940600*j = 0.
-65, -1, 0, 174
What is m in -m**2/4 + 8153*m/4 + 89925/2 = 0?
-22, 8175
Factor -2*a**2/9 - 2804*a/9 - 982802/9.
-2*(a + 701)**2/9
Solve -3*p**4/4 - 1671*p**3/2 + 4191*p**2 - 11745*p/2 + 10071/4 = 0 for p.
-1119, 1, 3
Suppose -125*f**5 - 52475*f**4 + 63330*f**3 + 75820*f**2 + 16840*f = 0. Calculate f.
-421, -2/5, 0, 2
Determine v so that v**2 + 9717*v + 97070 = 0.
-9707, -10
Suppose -15*q**4 - 2365*q**3 + 42245*q**2 + 1380965*q + 901170 = 0. What is q?
-171, -17, -2/3, 31
Solve -4*p**3 + 5512*p**2 + 4*p - 5512 = 0 for p.
-1, 1, 1378
Solve 2*q**4/5 - 24*q**3/5 + 4*q**2/5 + 216*q/5 - 198/5 = 0 for q.
-3, 1, 3, 11
Factor 5*b**4/4 - 60*b**3 + 115*b**2.
5*b**2*(b - 46)*(b - 2)/4
Solve -4*g**3/3 - 704*g**2/3 + 6020*g/3 + 8096 = 0 for g.
-184, -3, 11
Suppose 147*s**4/2 - 3927*s**3 - 47889*s**2/2 - 12714*s - 1770 = 0. What is s?
-5, -2/7, 59
Let 4*i**4 - 7764*i**3 - 46828*i**2 + 194772*i - 140184 = 0. Calculate i.
-9, 1, 2, 1947
Factor z**3/2 - 2789*z**2/2 + 13883*z + 33348.
(z - 2779)*(z - 12)*(z + 2)/2
Determine o so that o**2 + 14361*o + 14360 = 0.
-14360, -1
Factor -3*a**2 - 526371*a - 2105436.
-3*(a + 4)*(a + 175453)
Let l**5 - 473*l**4 - 950*l**3 - 2*l**2 + 949*l + 475 = 0. Calculate l.
-1, 1, 475
Determine t so that 3*t**5/4 + 20127*t**4/2 + 67556265*t**3/2 + 135001851*t**2 + 674838219*t/4 + 134951547/2 = 0.
-6707, -2, -1
Determine c so that 5*c**4/2 - 6295*c**3/2 - 96835*c**2 + 206240*c = 0.
-32, 0, 2, 1289
Factor t**4/3 + 517*t**3/3 + 172*t**2.
t**2*(t + 1)*(t + 516)/3
Let 11445*n**2/2 + 1870*n - 25/2 = 0. Calculate n.
-1/3, 5/763
Factor -2*w**4/15 + 338*w**3/15 - 15088*w**2/15 + 13448*w/3.
-2*w*(w - 82)**2*(w - 5)/15
Suppose 3*f**2 - 130971*f + 1047576 = 0. What is f?
8, 43649
What is i in i**3 + 31*i**2 - 1426*i - 1456 = 0?
-56, -1, 26
What is h in 2*h**4 + 612*h**3 + 2414*h**2 - 612*h - 2416 = 0?
-302, -4, -1, 1
Determine k so that -2*k**5/9 + 436*k**4/9 + 7336*k**3/9 + 11792*k**2/3 + 4992*k = 0.
-8, -6, -2, 0, 234
Find v such that -4*v**5 + 21924*v**4 + 109684*v**3 + 197468*v**2 + 153600*v + 43888 = 0.
-2, -1, 5486
Factor 2*a**3/7 - 7312*a**2/7 + 7450624*a/7 - 1359958016/7.
2*(a - 1712)**2*(a - 232)/7
Factor s**2/2 - 118*s + 912.
(s - 228)*(s - 8)/2
Determine i so that -i**2/3 + 2600*i - 15596/3 = 0.
2, 7798
Factor -d**3 + 354*d**2 - 27599*d + 27246.
-(d - 239)*(d - 114)*(d - 1)
Factor -2*t**2 - 30562*t + 30564.
-2*(t - 1)*(t + 15282)
Factor 2*y**2/13 + 3430*y/13 + 79500.
2*(y + 390)*(y + 1325)/13
Suppose 3*c**3 - 95397*c**2 + 757379640*c + 15947070300 = 0. What is c?
-21, 15910
Solve -15*x**3 + 5394*x**2 - 137280*x - 55776 = 0 for x.
-2/5, 28, 332
Find c, given that 3*c**5 - 10020*c**4 + 8316450*c**3 + 83917500*c**2 + 210421875*c = 0.
-5, 0, 1675
Factor 3*v**2 - 249513*v.
3*v*(v - 83171)
Let -4*h**3/3 - 6136*h**2 + 49152*h - 295040/3 = 0. What is h?
-4610, 4
Factor -2*j**2/3 - 460*j/3 - 6254.
-2*(j + 53)*(j + 177)/3
Suppose -4*i**4/7 + 14804*i**3/7 + 14832*i**2 = 0. Calculate i.
-7, 0, 3708
Let -8*o**4/7 + 50*o**3 - 1922*o**2/7 - 47424*o/7 + 36504/7 = 0. Calculate o.
-9, 3/4, 26
Solve 118*g**3/11 - 7662*g**2/11 + 41252*g/11 + 2832/11 = 0 for g.
-4/59, 6, 59
Factor 65*u**3 - 64790*u**2 - 79825*u - 14970.
5*(u - 998)*(u + 1)*(13*u + 3)
Let 5*o**4 + 372790*o**3 + 6949364745*o**2 + 27792985660*o + 27791494580 = 0. What is o?
-37277, -2
Factor v**4 - 19115*v**3/3 + 12742*v**2/3.
v**2*(v - 6371)*(3*v - 2)/3
Suppose 110*x**3 + 16065*x**2 + 63210*x + 2840 = 0. Calculate x.
-142, -4, -1/22
Let 4*k**3/5 + 9164*k**2/5 + 18316*k/5 + 9156/5 = 0. Calculate k.
-2289, -1
Factor -4*m**3 - 1832*m**2 - 28288*m.
-4*m*(m + 16)*(m + 442)
Solve 2*o**2/5 - 12844*o + 103105210 = 0.
16055
What is k in 14*k**5 - 1993