 4*c**2 - 856*c - 39468 = 0.
-39, 253
Factor -3*u**3 - 99*u**2 - 276*u - 180.
-3*(u + 1)*(u + 2)*(u + 30)
Determine f so that -5*f**2 + 133855*f - 133850 = 0.
1, 26770
Suppose 3*h**3 - 348*h**2 + 3777*h - 3432 = 0. What is h?
1, 11, 104
Suppose -14*j**5 - 260*j**4/9 - 16*j**3/9 + 28*j**2 + 142*j/9 + 8/9 = 0. Calculate j.
-1, -4/63, 1
Find l such that 2*l**4/3 + 182*l**3/3 - 3824*l**2/3 - 466760*l/3 + 156800 = 0.
-70, 1, 48
Find i, given that i**5/3 + 10*i**4 + 79*i**3 + 388*i**2/3 + 60*i = 0.
-18, -10, -1, 0
Factor -2*x**3 - 576*x**2 - 15418*x + 15996.
-2*(x - 1)*(x + 31)*(x + 258)
Suppose 3*t**2 - 12565*t - 8378 = 0. What is t?
-2/3, 4189
Factor -2*w**3 + 188*w**2 + 6352*w - 13440.
-2*(w - 120)*(w - 2)*(w + 28)
Factor c**3/3 + 1171*c**2/3 + 114465*c + 114075.
(c + 1)*(c + 585)**2/3
Determine o so that 3*o**2 - 44010*o + 161406675 = 0.
7335
Factor 3*x**5 - 51*x**4 - 2898*x**3 + 69882*x**2 - 72561*x - 4753287.
3*(x - 19)**3*(x + 7)*(x + 33)
Factor 12*l**3 - 560*l**2 - 2032*l + 1600.
4*(l - 50)*(l + 4)*(3*l - 2)
Determine w so that w**5 - 6*w**4 - 731*w**3 - 7152*w**2 - 12140*w - 5712 = 0.
-14, -12, -1, 34
Factor 2*y**2 + 23126*y + 161784.
2*(y + 7)*(y + 11556)
Factor -c**2 + 5940*c - 8820900.
-(c - 2970)**2
Solve 994050*f**2/7 + 614760*f/7 + 95048/7 = 0 for f.
-218/705
Find f such that -3*f**3/8 + 1977*f**2/8 + 2487*f/2 + 996 = 0.
-4, -1, 664
Factor -2*q**2/13 + 703522*q/13 + 703524/13.
-2*(q - 351762)*(q + 1)/13
Factor 2*c**3/3 - 17858*c**2/3 + 178430*c/3 - 148650.
2*(c - 8919)*(c - 5)**2/3
Factor 48*y**2 + 1564*y + 896.
4*(y + 32)*(12*y + 7)
Factor 5*r**4 + 1145*r**3 - 5815*r**2 + 8175*r - 3510.
5*(r - 3)*(r - 1)**2*(r + 234)
Factor 4*h**3 + 9292*h**2 - 16*h - 37168.
4*(h - 2)*(h + 2)*(h + 2323)
Suppose 50*o**2 - 63695*o - 6370 = 0. Calculate o.
-1/10, 1274
Factor 2*a**3/5 - 7984*a**2/5 - 23966*a/5 - 3196.
2*(a - 3995)*(a + 1)*(a + 2)/5
Find m such that -9*m**3/2 - 779*m**2/2 - 4402*m - 7282 = 0.
-662/9, -11, -2
Determine s so that -3*s**2/2 - 549*s - 44280 = 0.
-246, -120
Let 2*l**2/15 - 386*l/15 + 1224 = 0. What is l?
85, 108
Factor b**2 - 85084*b.
b*(b - 85084)
Find k, given that -3*k**5 - 9*k**4 + 162*k**3 - 96*k**2 - 864*k = 0.
-9, -2, 0, 4
What is s in -5*s**2 - 11755750*s - 6909882903125 = 0?
-1175575
Factor 2*x**4 + 296*x**3 + 9062*x**2 - 9360*x.
2*x*(x - 1)*(x + 45)*(x + 104)
Solve o**5/6 - 2*o**4/3 - 67*o**3/6 + 59*o**2/3 + 136*o - 144 = 0 for o.
-6, -4, 1, 4, 9
Find l, given that -2*l**3/5 + 10568*l**2 - 211336*l/5 + 211328/5 = 0.
2, 26416
Factor a**4 - 29*a**3 - 129*a**2 - 99*a.
a*(a - 33)*(a + 1)*(a + 3)
Let 2*k**5/9 - 10*k**4/9 - 70*k**3/3 + 10*k**2/9 + 208*k/9 = 0. Calculate k.
-8, -1, 0, 1, 13
Determine o, given that 25*o**4/3 + 18655*o**3/3 - 17462*o**2 + 32948*o/3 - 5992/3 = 0.
-749, 2/5, 2
Determine t, given that -8*t**5/3 - 44*t**4/3 + 2384*t**3/3 + 1220*t**2/3 - 400*t = 0.
-20, -1, 0, 1/2, 15
Suppose 3*k**3 + 12141*k**2 - 36462*k - 48600 = 0. What is k?
-4050, -1, 4
Factor 2*m**2 - 1176*m + 92872.
2*(m - 494)*(m - 94)
Let 25*s**2/3 + 1024*s + 2684/3 = 0. What is s?
-122, -22/25
Solve -6*o**3/5 + 3636*o**2/5 + 51786*o/5 + 36456 = 0 for o.
-7, 620
Let 4*x**5 - 72*x**4 - 4104*x**3 + 65232*x**2 + 492804*x + 787320 = 0. What is x?
-30, -3, 27
Factor -5*v**5 - 210590*v**4 + 842420*v**3 - 842440*v**2.
-5*v**2*(v - 2)**2*(v + 42122)
Determine t, given that 18*t**3/13 + 10472*t**2/13 - 87288*t/13 + 18880/13 = 0.
-590, 2/9, 8
Factor 156*w**2/19 + 4378*w/19 + 280/19.
2*(w + 28)*(78*w + 5)/19
Determine h, given that 18*h**4 - 88116*h**3 + 108454346*h**2 - 1505432488*h + 5253945032 = 0.
7, 7322/3
Solve 7*s**4 + 47*s**3 + 81*s**2 - 27*s - 108 = 0 for s.
-3, -12/7, 1
What is o in -2*o**3/13 - 372144*o**2/13 + 744296*o/13 = 0?
-186074, 0, 2
Suppose -28*n**5/11 - 78*n**4/11 + 386*n**3/11 + 354*n**2/11 - 142*n/11 - 60/11 = 0. What is n?
-5, -1, -2/7, 1/2, 3
Factor 3*v**4 + 3102*v**3 - 72933*v**2.
3*v**2*(v - 23)*(v + 1057)
Determine o so that -2*o**5/3 + 338*o**4/3 - 12638*o**3/3 - 47526*o**2 = 0.
-9, 0, 89
Factor -4*s**4/5 - 5932*s**3 - 55026688*s**2/5 - 164813232*s/5.
-4*s*(s + 3)*(s + 3706)**2/5
Determine i so that 3*i**4 - 3501*i**3 + 88917*i**2 + 92421*i = 0.
-1, 0, 27, 1141
What is i in 5*i**4 + 33755*i**3 + 202410*i**2 + 404740*i + 269800 = 0?
-6745, -2
Factor -4*t**3 + 740*t**2 - 18600*t.
-4*t*(t - 155)*(t - 30)
Suppose 5*x**2 + 12670*x + 238925 = 0. Calculate x.
-2515, -19
Factor -3*y**3 - 1404*y**2 - 5580*y - 5568.
-3*(y + 2)**2*(y + 464)
Let -m**4/4 - 3207*m**3/2 - 10272013*m**2/4 + 10291263*m - 10297681 = 0. What is m?
-3209, 2
Determine n, given that -5*n**4 - 5680*n**3 + 671550*n**2 - 25353880*n + 315821455 = 0.
-1247, 37
Factor -5*u**2 - 428710*u - 9189613205.
-5*(u + 42871)**2
Factor -36*m**2 + 2386*m + 5480.
-2*(2*m - 137)*(9*m + 20)
Find u, given that -2*u**3/5 + 3012*u**2/5 + 42704*u/5 - 43776 = 0.
-18, 4, 1520
Factor 2*d**5 - 50*d**4 + 312*d**3 + 640*d**2 - 6400*d - 12000.
2*(d - 10)**3*(d + 2)*(d + 3)
Solve 5*d**4 + 3855*d**3 - 2108025*d**2 + 309187125*d - 14467005000 = 0 for d.
-1176, 135
Factor -2*k**2/7 - 23284*k/7 + 23286/7.
-2*(k - 1)*(k + 11643)/7
Determine w, given that 3*w**3/5 - 3068802*w**2/5 + 156959709012*w - 1569584814936/5 = 0.
2, 511466
Let -3*q**3/2 - 141*q**2/2 - 168*q + 3870 = 0. What is q?
-43, -10, 6
Factor x**3/9 + 6*x**2 - 76*x/3 + 232/9.
(x - 2)**2*(x + 58)/9
Determine o so that -4*o**2 - 52*o + 360 = 0.
-18, 5
Determine h, given that -5*h**3 + 580*h**2 + 9825*h = 0.
-15, 0, 131
Suppose -14*b**2/3 - 112600*b/3 + 5362 = 0. Calculate b.
-8043, 1/7
Find q, given that 2*q**2 - 666764*q + 55571778962 = 0.
166691
Suppose -28*h**5 - 1124*h**4 - 7244*h**3 + 87860*h**2 + 12696*h = 0. What is h?
-23, -1/7, 0, 6
Find q such that 3*q**4/4 - 393*q**3/4 - 99*q**2 = 0.
-1, 0, 132
Factor -2*x**2 - 898*x - 100380.
-2*(x + 210)*(x + 239)
Factor 87*m**2 - 3606*m - 2016.
3*(m - 42)*(29*m + 16)
Solve -2*u**5/15 + 556*u**4/3 + 4*u**3/15 - 1112*u**2/3 - 2*u/15 + 556/3 = 0 for u.
-1, 1, 1390
Let 2*c**5 + 142*c**4 + 2884*c**3 + 19208*c**2 + 16464*c = 0. What is c?
-42, -14, -1, 0
Solve -b**5 - 2092*b**4 + 20984*b**3 - 75618*b**2 + 113481*b - 56754 = 0 for b.
-2102, 1, 3
Factor 5*t**2 - 695*t - 2130.
5*(t - 142)*(t + 3)
Factor -24*w**4/7 + 171*w**3/7 + 972*w**2/7 + 1068*w/7.
-3*w*(w + 2)**2*(8*w - 89)/7
Factor g**4/3 - 29194*g**3/3 + 71121383*g**2 - 4258528780*g/3 + 21278056900/3.
(g - 14587)**2*(g - 10)**2/3
Factor -4*p**3 + 536*p**2 + 2756*p + 3336.
-4*(p - 139)*(p + 2)*(p + 3)
Determine d so that -d**4/3 + 344*d**3/3 + d**2 - 1030*d/3 - 688/3 = 0.
-1, 2, 344
Factor 2*p**2/11 - 856*p/11 - 88408/11.
2*(p - 514)*(p + 86)/11
Factor -5*d**2 + 3815785*d + 3815790.
-5*(d - 763158)*(d + 1)
Find s such that 3*s**5 + 6438*s**4 - 25782*s**3 + 38688*s**2 - 25797*s + 6450 = 0.
-2150, 1
Let -2*j**3/9 - 38*j**2/3 + 1078*j/3 - 19118/9 = 0. Calculate j.
-79, 11
What is b in b**2/4 + 102970*b + 10602820900 = 0?
-205940
Factor -r**4 - 1758*r**3 + 232092*r**2 - 9896040*r + 139581792.
-(r - 42)**3*(r + 1884)
Solve o**4 - 274*o**3/3 - 1367*o**2/3 + 738*o - 192 = 0.
-6, 1/3, 1, 96
Determine s so that 169*s**2/2 - 96096*s + 27320832 = 0.
7392/13
Let -3*x**5 + 1089*x**4 + 10080*x**3 - 13332*x**2 - 22320*x = 0. What is x?
-10, -1, 0, 2, 372
Find i, given that 3*i**2 - 305568*i + 305565 = 0.
1, 101855
Determine c so that -c**3 - 282*c**2 - 839*c - 558 = 0.
-279, -2, -1
Factor -2*d**2/9 - 30716*d/9.
-2*d*(d + 15358)/9
Factor 21*g**3 + 13*g**2 - 21*g - 13.
(g - 1)*(g + 1)*(21*g + 13)
Factor m**4 + 343*m**3 + 5573*m**2 + 10121*m + 4890.
(m + 1)**2*(m + 15)*(m + 326)
What is p in -3*p**4/5 + 21*p**3 + 69*p**2 - 21*p - 342/5 = 0?
-3, -1, 1, 38
Determine y, given that -y**3 + 116*y**2 + 21276*y + 653184 = 0.
-54, 224
Suppose 4*i**2 - 2984*i + 14820 = 0. Calculate i.
5, 741
Find g such that -295*g**5 + 4710*g**4 - 20785*g**3 + 15810*g**2 + 560*g = 0.
-2/59, 0, 1, 7, 8
Solve 4*s**4 + 1996*s**3 + 9912*s**2 + 15824*s + 7904 = 0 for s.
-494, -2, -1
Factor -l**2/10 - 745*l + 201879/10.
-(l - 27)*(l + 7477)/10
Factor r**3/5 + 168*r**2/5 + 321*r - 526654/5.
(r - 46)*(r + 107)**2/5
Factor 4*p**3/3 + 50460*p**2 + 477338976*p - 1432471104.
4*(p - 3)*(p + 18924)**2/3
Find x, given that -13*x**5 + 28*x**4 + 139*x**3 - 178*x**2 - 444*x + 72 = 0.
-2, 2/13, 3
Fa