ctor 3*l**2 - 1518*l + 14880.
3*(l - 496)*(l - 10)
Factor b**4/4 - 83*b**3/2 + 2029*b**2/4 - 1530*b.
b*(b - 153)*(b - 8)*(b - 5)/4
Determine h so that -h**4/4 - 287*h**3/4 - 5253*h**2 - 112175*h + 117500 = 0.
-188, -50, 1
Determine j, given that -5*j**4/4 - 43*j**3 + 1767*j**2/4 - 1783*j/2 - 430 = 0.
-43, -2/5, 4, 5
Determine v so that 4*v**5 + 5096*v**4 - 15348*v**3 - 30616*v**2 + 40864*v = 0.
-1277, -2, 0, 1, 4
Find n such that 2*n**2/5 - 227832*n/5 + 6488427528/5 = 0.
56958
Factor b**2/6 + 17*b/6 - 19270/3.
(b - 188)*(b + 205)/6
Factor p**4 - 26*p**3 - 54096*p**2 + 108266*p - 54145.
(p - 245)*(p - 1)**2*(p + 221)
Solve -2*u**3/13 - 466*u**2 + 6064*u/13 + 12120/13 = 0.
-3030, -1, 2
Let -42*q**4 - 634*q**3 - 1908*q**2 - 176*q = 0. Calculate q.
-11, -4, -2/21, 0
Factor -16*u**2 + 535884*u + 133972.
-4*(u - 33493)*(4*u + 1)
Suppose n**3/7 + 786*n**2/7 + 29295*n + 2538200 = 0. What is n?
-296, -245
Factor -4*r**2 + 76*r + 1008.
-4*(r - 28)*(r + 9)
Suppose 7921*y**5 - 292721*y**4 + 1064088*y**3 - 997304*y**2 - 46448*y - 528 = 0. Calculate y.
-2/89, 2, 33
Determine t, given that t**4 - 21658*t**3 + 117418724*t**2 - 1640139032*t + 2810776416 = 0.
2, 12, 10822
What is q in 405*q**5 - 36378090*q**4 + 16167980*q**3 - 1796440*q**2 = 0?
0, 2/9, 89822
Factor 2*u**2/7 + 4020*u/7 + 8032/7.
2*(u + 2)*(u + 2008)/7
Factor 3*t**4 - 183*t**3 + 699*t**2 - 861*t + 342.
3*(t - 57)*(t - 2)*(t - 1)**2
Factor -16725*w**2 + 66897*w + 12.
-3*(w - 4)*(5575*w + 1)
Factor 20*s**3 - 1412*s**2 + 7280*s.
4*s*(s - 65)*(5*s - 28)
Find o such that -2*o**2/9 + 11972*o - 161244882 = 0.
26937
Factor t**3/7 - 885*t**2/7 + 27909*t + 196249/7.
(t - 443)**2*(t + 1)/7
Solve 2*y**2/5 - 804*y - 16240 = 0 for y.
-20, 2030
Factor 4*f**4 + 2024*f**3 - 6100*f**2 + 4072*f.
4*f*(f - 2)*(f - 1)*(f + 509)
Suppose -177*k**2/5 - 1413*k/5 + 24/5 = 0. What is k?
-8, 1/59
Suppose y**4/3 - 1761*y**3 - 10575*y**2 - 15867*y = 0. Calculate y.
-3, 0, 5289
Factor -i**2/5 - 14541*i/5 + 11636.
-(i - 4)*(i + 14545)/5
Factor 4*u**3/5 + 376*u**2/5 - 4668*u/5 - 1008.
4*(u - 12)*(u + 1)*(u + 105)/5
Factor -3*n**2/4 - 13065*n/4 - 418275/2.
-3*(n + 65)*(n + 4290)/4
Solve 3*q**3/4 - 14139*q**2/4 + 16566993*q/4 + 217766991/4 = 0.
-13, 2363
Determine m, given that 4*m**2 - 6304*m - 192720 = 0.
-30, 1606
Factor 3*y**2 - 30048*y + 30045.
3*(y - 10015)*(y - 1)
Solve 2*r**2/7 + 6406*r/7 - 378276/7 = 0.
-3261, 58
What is z in 5*z**4/7 - 394*z**3/7 - 79*z**2/7 = 0?
-1/5, 0, 79
Factor 2*s**5/5 + 1782*s**4/5 + 394254*s**3/5 - 1198854*s**2/5.
2*s**2*(s - 3)*(s + 447)**2/5
Let x**4/6 - 1070027*x**3/6 + 63608706150*x**2 - 7562523885662808*x - 7562587494547296 = 0. What is x?
-1, 356676
Factor 5*m**4 + 274245*m**3 + 274240*m**2.
5*m**2*(m + 1)*(m + 54848)
Factor -4*a**3 + 1824*a**2 + 9276*a - 25816.
-4*(a - 461)*(a - 2)*(a + 7)
Solve 14*s**4/5 + 760*s**3 + 5406*s**2/5 + 324*s = 0 for s.
-270, -1, -3/7, 0
Find h, given that 2*h**3/5 - 862*h**2/5 + 99008*h/5 - 259584 = 0.
15, 208
Suppose -2*q**5/5 - 62*q**4/5 + 1572*q**3/5 - 576*q**2 = 0. What is q?
-48, 0, 2, 15
Factor -2*v**3/11 - 76326*v**2/11 - 728321760*v/11 - 2184278400/11.
-2*(v + 3)*(v + 19080)**2/11
Factor 94*v**3 + 842*v**2 - 8496*v + 360.
2*(v - 6)*(v + 15)*(47*v - 2)
Determine v so that -2*v**3/5 + 998*v**2/5 - 1988*v/5 = 0.
0, 2, 497
Factor 5*j**2 + 7290*j + 7285.
5*(j + 1)*(j + 1457)
Suppose 7*w**4/2 + 122971*w**3/2 - 702897*w**2/2 + 404189*w/2 + 87865 = 0. Calculate w.
-17573, -2/7, 1, 5
Find m such that 2*m**5/11 - 10*m**4/11 - 164*m**3/11 + 712*m**2/11 - 720*m/11 = 0.
-9, 0, 2, 10
Factor 2*i**2/9 + 64*i + 39160/9.
2*(i + 110)*(i + 178)/9
Factor -4*t**3/5 - 12*t**2 + 45144*t/5.
-4*t*(t - 99)*(t + 114)/5
Factor 4*z**2 + 64820*z - 64824.
4*(z - 1)*(z + 16206)
Factor 2*s**2 - 256*s - 1608.
2*(s - 134)*(s + 6)
Find h, given that -2*h**3/21 + 21086*h**2/21 + 21088*h/21 = 0.
-1, 0, 10544
Factor -2*r**2 + 36008*r - 36006.
-2*(r - 18003)*(r - 1)
Factor q**2 + 368*q + 3927.
(q + 11)*(q + 357)
What is b in 2*b**4/5 + 144*b**3/5 + 2098*b**2/5 - 5244*b/5 - 1440 = 0?
-50, -24, -1, 3
What is n in 2*n**2/7 + 32780*n/7 + 134316050/7 = 0?
-8195
Factor 5*y**3 + 1660*y**2 + 47380*y - 16974400.
5*(y - 80)*(y + 206)**2
Factor -4*o**3/3 - 80*o**2/3 + 4048*o/3 - 7744/3.
-4*(o - 22)*(o - 2)*(o + 44)/3
Factor 4*w**3 + 18296*w**2 - 4*w - 18296.
4*(w - 1)*(w + 1)*(w + 4574)
Suppose m**3/2 + 8598*m**2 - m/2 - 8598 = 0. What is m?
-17196, -1, 1
Factor 2*s**2/15 + 8474*s + 127104/5.
2*(s + 3)*(s + 63552)/15
Let -5*q**5/3 - 800*q**4/3 + 4955*q**3/3 - 4150*q**2/3 = 0. Calculate q.
-166, 0, 1, 5
What is t in t**2/6 + 440933*t + 583265731467/2 = 0?
-1322799
Factor -p**3/3 - 52214*p**2/3 - 681836444*p/3 - 6813144040/3.
-(p + 10)*(p + 26102)**2/3
Let -2*d**5 - 2330*d**4 + 47296*d**3 - 124200*d**2 - 1138752*d - 1365120 = 0. Calculate d.
-1185, -2, 12
Suppose 2*v**5/3 + 644*v**4/3 + 12368*v**3/3 + 29280*v**2 + 87264*v + 86976 = 0. What is v?
-302, -6, -2
Solve 3*q**2 - 2580*q - 7767 = 0 for q.
-3, 863
Factor b**3/8 - 55*b**2/8.
b**2*(b - 55)/8
Suppose 2*x**2 + 660*x - 1998 = 0. Calculate x.
-333, 3
Factor 80*z**3 - 2367160*z**2 - 1183595*z - 147950.
5*(z - 29590)*(4*z + 1)**2
Find w, given that -8*w**3 + 452*w**2 - 592*w - 191660 = 0.
-35/2, 37
Determine y, given that -4*y**2 - 704*y + 333840 = 0.
-390, 214
Factor 2*z**3/5 - 1706*z**2/5 - 3436*z/5 + 2736.
2*(z - 855)*(z - 2)*(z + 4)/5
Factor b**3/4 - 1097*b**2/4 - 204680*b - 30351936.
(b - 1641)*(b + 272)**2/4
Factor 4*p**4 + 1296*p**3 - 14740*p**2.
4*p**2*(p - 11)*(p + 335)
Solve 30*w**3 + 1646*w**2 + 19760*w - 2664 = 0.
-37, -18, 2/15
Suppose -1628*u**4/5 + 8148*u**3/5 + 21124*u**2/5 + 11292*u/5 - 56/5 = 0. What is u?
-1, 2/407, 7
Suppose 5*i**4 - 55*i**3 - 300*i**2 + 1260*i = 0. Calculate i.
-6, 0, 3, 14
Suppose -4*a**2 - 4096*a - 52572 = 0. Calculate a.
-1011, -13
Find n, given that 4*n**2 - 4096*n - 8208 = 0.
-2, 1026
Suppose -f**3/3 + 14*f**2 + 951*f + 5530/3 = 0. Calculate f.
-35, -2, 79
Factor -2*y**3/5 + 746*y**2/5 - 72102*y/5 + 468846/5.
-2*(y - 183)**2*(y - 7)/5
Determine h, given that 39*h**3/5 - 3220*h**2 + 13188*h/5 - 1648/5 = 0.
2/13, 2/3, 412
What is m in -990*m**4 - 135945*m**3 - 690940*m**2 + 533220*m - 7920 = 0?
-132, -6, 1/66, 2/3
Factor k**2/7 + 1637*k/7 - 89570/7.
(k - 53)*(k + 1690)/7
Let -6*d**5/5 - 512*d**4/5 - 142*d**3/5 + 2388*d**2/5 + 664*d/5 - 272 = 0. Calculate d.
-85, -2, -1, 2/3, 2
Find t such that 20*t**4 + 1315*t**3 - 20270*t**2 + 52385*t - 11850 = 0.
-79, 1/4, 3, 10
Let r**3/3 + 35*r**2/3 - 364*r/3 - 860/3 = 0. Calculate r.
-43, -2, 10
Suppose 2*f**5 - 1352*f**4 + 119816*f**3 + 77534660*f**2 - 13831143050*f + 27351210500 = 0. Calculate f.
-241, 2, 305
Determine n, given that -n**4 - 2510*n**3 + 30243*n**2 - 52952*n + 25220 = 0.
-2522, 1, 10
Factor 4*a**2 + 4976*a - 423680.
4*(a - 80)*(a + 1324)
Determine h so that -2*h**5 + 56*h**4 - 12*h**3 - 1224*h**2 + 2430*h = 0.
-5, 0, 3, 27
Factor 2*s**2/3 + 12175*s/6 - 1522/3.
(s + 3044)*(4*s - 1)/6
Suppose -2*d**5/7 - 36*d**4/7 + 32*d**3/7 + 1796*d**2/7 + 3810*d/7 - 800 = 0. Calculate d.
-16, -5, 1, 7
Factor -r**2/2 + 2088*r - 4175/2.
-(r - 4175)*(r - 1)/2
Factor 5*x**2/2 - 7410*x + 44415/2.
5*(x - 2961)*(x - 3)/2
Factor -1280*c**3 + 3733840*c**2 - 933445*c/4 + 14585/4.
-5*(c - 2917)*(32*c - 1)**2/4
Find y, given that 6*y**2/5 + 5902*y/5 - 1968/5 = 0.
-984, 1/3
Suppose a**4/9 + 6*a**3 - 169*a**2/9 + 38*a/3 = 0. What is a?
-57, 0, 1, 2
Factor -13*g**2 + 1844*g + 284.
-(g - 142)*(13*g + 2)
Factor t**3 + 4769*t**2 - 33426*t + 28656.
(t - 6)*(t - 1)*(t + 4776)
Find c, given that 3*c**4 + 840*c**3 + 53496*c**2 - 749856*c + 1278960 = 0.
-146, 2, 10
Suppose p**5/4 - 8*p**4 + 179*p**3/4 + 308*p**2 - 735*p = 0. Calculate p.
-5, 0, 2, 14, 21
Determine d so that -98*d**4/3 + 2269918*d**3/3 - 5511920*d**2/3 - 1235192*d - 185280 = 0.
-2/7, 3, 23160
Let -5*n**3 - 4775*n**2 - 1355715*n - 97516305 = 0. What is n?
-423, -109
Find s such that -2*s**5/15 - 20*s**4/3 + 498*s**3/5 + 304*s**2/15 - 4264*s/15 - 992/5 = 0.
-62, -1, 2, 12
Find u, given that -2*u**3/7 + 76*u**2/7 + 5042*u/7 + 4964/7 = 0.
-34, -1, 73
Find z, given that -z**5/4 + 72*z**4 + 2653*z**3/4 + 1482*z**2 + 891*z = 0.
-6, -2, -1, 0, 297
Factor 3*c**2/8 + 15483*c/2 + 30963/2.
3*(c + 2)*(c + 20642)/8
Solve -g**2/11 + 934*g/11 - 