/4.
-5*(d - 33)*(7*d + 5)**2/4
Solve 6945*b**2 - 13900*b + 20 = 0 for b.
2/1389, 2
Solve -l**3 - 4872*l**2 - 9741*l - 4870 = 0 for l.
-4870, -1
Factor -4*d**2/7 - 64768*d/7 - 262180864/7.
-4*(d + 8096)**2/7
Factor 2*z**4/3 - 4834*z**3/3 - 19360*z**2/3 - 6456*z.
2*z*(z - 2421)*(z + 2)**2/3
Determine t, given that -1521*t**5/7 + 937651*t**4/7 + 497162*t**3/7 + 86372*t**2/7 + 4936*t/7 = 0.
-2/9, -2/13, 0, 617
Factor -5*m**2 - 17795*m - 1135550.
-5*(m + 65)*(m + 3494)
Suppose 2*v**3/15 - 374*v**2/15 - 388*v/15 + 752/5 = 0. Calculate v.
-3, 2, 188
Determine o so that -2*o**4/3 + 1520*o**3/3 - 73630*o**2/3 - 1520*o/3 + 24544 = 0.
-1, 1, 52, 708
Factor k**3/4 - 35*k**2/2 + 557*k/4 - 122.
(k - 61)*(k - 8)*(k - 1)/4
Solve 4*z**2 + 58228*z - 815976 = 0 for z.
-14571, 14
Solve 2*i**4 + 3290*i**3 + 3278*i**2 - 16434*i + 9864 = 0 for i.
-1644, -3, 1
Factor 65*m**4/3 - 120*m**3 - 60*m**2.
5*m**2*(m - 6)*(13*m + 6)/3
Find x such that 9*x**2/8 - 341121*x/4 + 56853 = 0.
2/3, 75804
Factor -3*r**3 - 270*r**2 - 504*r + 2112.
-3*(r - 2)*(r + 4)*(r + 88)
Determine p so that -2*p**4 + 137822*p**3 - 3166138800*p**2 + 24254729465472*p - 169628012725248 = 0.
7, 22968
Factor 2*m**2/13 - 222724*m/13 + 6200747522/13.
2*(m - 55681)**2/13
Suppose 4*u**3/7 + 14404*u**2/7 + 8224*u + 57552/7 = 0. Calculate u.
-3597, -2
What is h in 2*h**5/17 - 20*h**4 + 11436*h**3/17 + 259704*h**2/17 + 838674*h/17 - 2802276/17 = 0?
-9, 2, 93
Factor p**3/5 + 17*p**2/5 + 82*p/5 + 24.
(p + 3)*(p + 4)*(p + 10)/5
Solve 3*x**5/4 + 1149*x**4/4 - 9315*x**3/4 + 26895*x**2/4 - 8202*x + 3519 = 0.
-391, 1, 2, 3
Determine o so that 95*o**5 + 45880*o**4 - 48490*o**3 - 43460*o**2 + 48395*o - 2420 = 0.
-484, -1, 1/19, 1
Solve -a**2/3 - 20198*a/3 - 20197/3 = 0.
-20197, -1
Factor 19845*w**3 + 52605*w**2 + 46280*w + 13520.
5*(w + 1)*(63*w + 52)**2
Suppose 2*z**2/11 + 2613128*z/11 + 853554743048/11 = 0. Calculate z.
-653282
Factor t**2/7 - 1070*t/7 + 10600/7.
(t - 1060)*(t - 10)/7
Solve -5*m**4 - 13344*m**3 + 29374*m**2 - 18696*m + 2671 = 0 for m.
-2671, 1/5, 1
Let -3*d**2 + 3843*d + 62256 = 0. What is d?
-16, 1297
Factor 4*x**3/3 - 5372*x**2/3 + 16088*x/3 - 10720/3.
4*(x - 1340)*(x - 2)*(x - 1)/3
Factor -2*y**2/5 + 788*y/5 + 167382/5.
-2*(y - 547)*(y + 153)/5
Suppose -c**3 - 4492*c**2 + 35984*c - 72000 = 0. Calculate c.
-4500, 4
Factor i**2/2 - 239314*i - 478629/2.
(i - 478629)*(i + 1)/2
Factor s**4/8 + 519*s**3/8 + 3599*s**2/8 + 7689*s/8 + 576.
(s + 1)*(s + 3)**2*(s + 512)/8
Factor 2*b**3/9 - 2314*b**2/9 + 4622*b/9 - 770/3.
2*(b - 1155)*(b - 1)**2/9
Factor 9*j**2/8 + 74811*j/8 - 24939/4.
3*(j + 8313)*(3*j - 2)/8
Determine n, given that -5*n**4/6 - 205*n**3/6 - 595*n**2/3 + 30*n + 1020 = 0.
-34, -6, -3, 2
Suppose -3*n**2 + 283644*n - 6704493228 = 0. Calculate n.
47274
Factor -m**4/3 - 58*m**3/3 + 61*m**2/3 + 118*m/3.
-m*(m - 2)*(m + 1)*(m + 59)/3
Factor -t**2/6 - 833*t/3 + 70805/2.
-(t - 119)*(t + 1785)/6
Let u**2/7 + 1520*u + 191196/7 = 0. Calculate u.
-10622, -18
Find q, given that -q**3 - 90*q**2 - 1307*q - 4818 = 0.
-73, -11, -6
Factor a**2 - 7124*a - 214620.
(a - 7154)*(a + 30)
Let 30*q**5/13 - 1052*q**4/13 + 4646*q**3/13 - 184*q**2 - 440*q + 2400/13 = 0. Calculate q.
-1, 2/5, 5/3, 4, 30
Factor -35*f**2 + 126265*f.
-5*f*(7*f - 25253)
Factor 5*x**4 + 505*x**3 - 20295*x**2 + 236555*x - 891770.
5*(x - 11)**3*(x + 134)
Let -b**2/2 - 8401*b/2 + 21015 = 0. What is b?
-8406, 5
Suppose 4*i**3 - 584*i**2 - 4928*i = 0. Calculate i.
-8, 0, 154
Solve -2*z**3/5 + 5376*z**2 + 134438*z/5 + 32268 = 0.
-3, -2, 13445
Suppose -4*h**5 + 2248*h**4 - 404796*h**3 + 20012264*h**2 + 615273328*h - 2015181984 = 0. What is h?
-23, 3, 194
Factor g**2/9 - 361310*g/9 + 32636229025/9.
(g - 180655)**2/9
Solve -5*y**2 - 793490*y - 793485 = 0.
-158697, -1
Find f such that -10*f**4/23 + 2686*f**3/23 - 35114*f**2/23 + 110474*f/23 + 49980/23 = 0.
-2/5, 7, 255
Find o, given that 2*o**2 + 395796*o + 1187370 = 0.
-197895, -3
Find p such that 2*p**5 + 30*p**4 - 20*p**3 - 940*p**2 + 18*p + 910 = 0.
-13, -7, -1, 1, 5
Determine k, given that k**4/4 - 45*k**3/2 + 79*k**2/4 + 441*k/2 + 178 = 0.
-2, -1, 4, 89
Suppose 2*p**3 + 34340*p**2 + 68674*p + 34336 = 0. What is p?
-17168, -1
Determine l, given that l**5/7 - 18*l**4/7 + 110*l**3/7 - 268*l**2/7 + 39*l - 14 = 0.
1, 2, 7
Factor -2*v**4/7 - 108*v**3/7 - 1560*v**2/7 - 2704*v/7.
-2*v*(v + 2)*(v + 26)**2/7
Factor -4*k**3/7 + 1044*k**2/7 - 85536*k/7 + 2247696/7.
-4*(k - 129)*(k - 66)**2/7
What is x in 10*x**5 - 172*x**4 + 760*x**3 - 796*x**2 - 770*x + 968 = 0?
-1, 1, 11/5, 4, 11
Factor -7*p**3 + 124812*p**2 - 160463*p + 35658.
-(p - 17829)*(p - 1)*(7*p - 2)
Suppose -5*g**3 + 2390*g**2 - 283200*g - 576000 = 0. What is g?
-2, 240
What is w in -3*w**5 + 2550*w**4 + 10254*w**3 - 5088*w**2 - 30771*w + 23058 = 0?
-3, 1, 854
Determine j so that -j**5 + 19*j**4 - 38*j**3 - 334*j**2 + 39*j + 315 = 0.
-3, -1, 1, 7, 15
Suppose -n**5/4 + 879*n**4/4 - 201199*n**3/4 + 3477861*n**2/4 + 1890710*n + 970725 = 0. Calculate n.
-1, 21, 430
What is c in -c**4 - 167*c**3 - 3533*c**2 - 14317*c + 18018 = 0?
-143, -18, -7, 1
Factor 3*v**2 + 588*v + 5580.
3*(v + 10)*(v + 186)
Factor -2*m**4/11 - 4432*m**3/11 + 13308*m**2/11 - 13312*m/11 + 4438/11.
-2*(m - 1)**3*(m + 2219)/11
Suppose 6*g**4 + 26*g**3 + 16*g**2 - 24*g = 0. What is g?
-3, -2, 0, 2/3
What is n in -27*n**5/5 + 39396*n**4/5 - 14392626*n**3/5 + 15912588*n**2/5 + 11195253*n/5 - 12754584/5 = 0?
-8/9, 1, 729
Suppose -12*i**2 + 279813*i + 69954 = 0. Calculate i.
-1/4, 23318
Find r such that -21*r**3/2 + 774*r**2 + 8901*r/2 - 5214 = 0.
-44/7, 1, 79
Factor i**2/7 + 9*i/7 - 76.
(i - 19)*(i + 28)/7
Factor -2*x**4/9 + 1402*x**3 + 25284*x**2 + 151800*x + 303696.
-2*(x - 6327)*(x + 6)**3/9
Determine t, given that t**2/3 - 22*t + 689/3 = 0.
13, 53
Let 2*r**4/11 + 14*r**3/11 - 2806*r**2/11 + 5562*r/11 - 252 = 0. Calculate r.
-42, 1, 33
Determine f so that -6*f**3/7 + 126*f**2 - 246*f - 2610/7 = 0.
-1, 3, 145
Let 5*l**3 - 11250*l**2 - 22515*l - 11260 = 0. Calculate l.
-1, 2252
Solve -34*h**5/7 + 134*h**4/7 - 28*h**3 + 124*h**2/7 - 26*h/7 - 2/7 = 0 for h.
-1/17, 1
Factor 70*w**2 - 1233955*w - 88140.
5*(w - 17628)*(14*w + 1)
Let 2*d**3/13 - 108*d**2/13 + 922*d/13 + 1032/13 = 0. What is d?
-1, 12, 43
What is q in -5*q**4 + 1725*q**3 + 152210*q**2 + 150480*q = 0?
-72, -1, 0, 418
Factor -2*a**3/5 + 338*a**2 + 3388*a/5.
-2*a*(a - 847)*(a + 2)/5
Factor -2*q**3 + 658*q**2 + 6730*q + 16950.
-2*(q - 339)*(q + 5)**2
Solve -3*i**3/5 - 468*i**2 + 30891*i/5 - 28548/5 = 0 for i.
-793, 1, 12
Determine p, given that 4*p**5/5 - 76*p**4 - 4608*p**3/5 - 6112*p**2/5 + 18368*p/5 + 30528/5 = 0.
-9, -2, 2, 106
Factor 5*u**3 - 640*u**2 + 23755*u - 268640.
5*(u - 73)*(u - 32)*(u - 23)
Factor 3*s**4/7 - 27*s**3 + 3825*s**2/7 - 24375*s/7.
3*s*(s - 25)**2*(s - 13)/7
Suppose 2*k**3/5 + 116*k**2/5 - 16798*k/5 + 361416/5 = 0. Calculate k.
-132, 37
Factor 2*i**2 - 194*i - 115836.
2*(i - 294)*(i + 197)
Determine y, given that y**3 - 195*y**2 + 6314*y = 0.
0, 41, 154
Factor 2*l**2 + 154*l - 19720.
2*(l - 68)*(l + 145)
Let c**3/2 - 309*c**2 + 1229*c/2 + 924 = 0. Calculate c.
-1, 3, 616
Factor -147*x**2/2 + 48580*x - 24081800/3.
-(21*x - 6940)**2/6
Determine y, given that 2*y**4/9 + 8*y**3 - 166*y**2/9 - 60*y - 304/9 = 0.
-38, -1, 4
Factor 54*c**4 + 9876*c**3 + 1294106*c**2/3 - 5537144*c/3 + 5658248/3.
2*(c - 2)**2*(9*c + 841)**2/3
Suppose -24*i**4 - 6628*i**3 + 67536*i**2 + 11440*i = 0. What is i?
-286, -1/6, 0, 10
Let 2*j**3/17 - 108*j**2/17 - 74*j/17 + 9540/17 = 0. What is j?
-9, 10, 53
Solve p**3 - 2051*p**2 + 4095*p + 6147 = 0.
-1, 3, 2049
Factor -9476*g**2 - 28420*g + 24.
-4*(g + 3)*(2369*g - 2)
Solve -q**3/3 + 94*q**2/3 - 1169*q/3 + 3920/3 = 0.
7, 80
Factor -2*a**4/3 + 718*a**3/3 + 5840*a**2/3 + 11744*a/3.
-2*a*(a - 367)*(a + 4)**2/3
Suppose 2*o**2/11 - 25064*o/11 + 100224/11 = 0. What is o?
4, 12528
Let x**5 - 422*x**4/3 - 4601*x**3/3 - 12076*x**2/3 - 652*x/3 + 2416 = 0. Calculate x.
-6, -4, -1, 2/3, 151
Determine k so that -k**2 + 37051*k = 0.
0, 37051
Suppose -2*n**5 + 6338*n**4 + 19026*n**3 + 19030*n**2 + 6344*n = 0. What is n?
-1, 0, 3172
Determine o so that 2*o**4/9 + 10*o**3 + 88*o**2/9 = 0.
-44, -1, 0
Determine u so that 15*u**3 - 448758*u**2 - 807801*u - 359028 = 0.
-1, -4/5, 29919
Solve 3*h**2 + 1899*h