252994*y**2 - 6738004*y + 4488008.
(y - 1498)**2*(y - 2)*(y - 1)
Suppose 154*u**3 - 12048*u**2 + 2808*u = 0. Calculate u.
0, 18/77, 78
Find m, given that 3*m**4 + 240*m**3 - 579*m**2 - 7044*m + 7380 = 0.
-82, -5, 1, 6
Let 2*y**3 + 3684*y**2 + 1703826*y + 6756488 = 0. Calculate y.
-919, -4
Factor -5*y**2 - 558220*y - 15580478420.
-5*(y + 55822)**2
Suppose 2*h**5 + 8674*h**4 - 52090*h**3 + 112894*h**2 - 104224*h + 34744 = 0. What is h?
-4343, 1, 2
Let -2*j**3/5 - 588*j**2/5 - 3474*j/5 - 5184/5 = 0. What is j?
-288, -3
Factor -w**3/6 - 40*w**2 + 8729*w/2 + 3420347/3.
-(w - 166)*(w + 203)**2/6
Let 4*d**2 - 80664*d + 406667556 = 0. What is d?
10083
Factor -2*s**3/3 - 15110*s**2/3 + 60464*s/3 - 60472/3.
-2*(s - 2)**2*(s + 7559)/3
What is j in 2*j**2/11 + 2672*j/11 + 2670/11 = 0?
-1335, -1
Determine g so that -30*g**4 - 4371*g**3/2 - 2655*g**2 + 4371*g/2 + 2685 = 0.
-358/5, -5/4, -1, 1
Let 49*a**5 - 315*a**4 - 2152*a**3 + 3752*a**2 + 2640*a + 400 = 0. Calculate a.
-5, -2/7, 2, 10
Determine x so that 3*x**3 - 549*x**2 - 8868*x - 8316 = 0.
-14, -1, 198
Let 4*z**4 - 112*z**3 - 52*z**2 + 1408*z + 1344 = 0. What is z?
-3, -1, 4, 28
Factor s**4/5 - 23*s**3/5 + 71*s**2/5 + 19*s.
s*(s - 19)*(s - 5)*(s + 1)/5
Solve -i**2/8 + 2241*i/8 + 10125/4 = 0.
-9, 2250
Factor 5*r**2 - 95840*r + 459265280.
5*(r - 9584)**2
What is h in h**4/5 - 366*h**3/5 + 8700*h**2 - 306250*h - 3515625 = 0?
-9, 125
Factor 2*q**4/3 - 42*q**3 - 1856*q**2 - 48640*q/3.
2*q*(q - 95)*(q + 16)**2/3
Find q, given that 5*q**3 - 2950*q**2 + 31785*q + 34740 = 0.
-1, 12, 579
Factor 3*j**4 + 978*j**3 + 951*j**2 - 7836*j - 11700.
3*(j - 3)*(j + 2)**2*(j + 325)
Factor v**2 - 72242*v + 72241.
(v - 72241)*(v - 1)
Solve 3*k**4 - 495*k**3 + 12366*k**2 + 12864*k = 0.
-1, 0, 32, 134
Find h such that -2*h**2 - 14706*h + 44136 = 0.
-7356, 3
Determine r so that -8*r**3/11 + 2402*r**2/11 - 600*r/11 = 0.
0, 1/4, 300
Find u such that -4*u**4 + 952*u**3 + 7788*u**2 + 20592*u + 17712 = 0.
-3, -2, 246
Determine l, given that 350*l**4/13 + 3628*l**3/13 + 1008*l**2/13 = 0.
-252/25, -2/7, 0
Let 5*s**5 - 615*s**4 + 7135*s**3 + 105255*s**2 - 111780*s = 0. Calculate s.
-9, 0, 1, 23, 108
Factor -v**3 + 940*v**2 - 3748*v + 3744.
-(v - 936)*(v - 2)**2
Determine d so that -4*d**2 + 17752*d - 511444 = 0.
29, 4409
Solve -g**3/2 - 59*g**2/2 + 125*g/2 + 183/2 = 0.
-61, -1, 3
Solve 2*f**2 + 618*f + 8260 = 0 for f.
-295, -14
Determine i so that 2*i**4 + 104*i**3 + 1486*i**2 + 3064*i - 25536 = 0.
-28, -19, -8, 3
Determine q so that -3*q**5 - 11*q**4 + 129*q**3 + 615*q**2 + 350*q = 0.
-5, -2/3, 0, 7
Suppose -30*g**5 - 4076*g**4 - 139226*g**3 - 109044*g**2 + 288584*g - 36208 = 0. What is g?
-73, -62, -2, 2/15, 1
Suppose 15*n**2 - 107*n + 92 = 0. What is n?
1, 92/15
Determine v so that -8*v**2 - 187*v/3 + 40/3 = 0.
-8, 5/24
Factor 2*l**4/3 + 2402*l**3 - 4806*l**2 + 7210*l/3.
2*l*(l - 1)**2*(l + 3605)/3
Solve -l**3 + 234*l**2 - 2873*l = 0 for l.
0, 13, 221
Find z such that 9*z**2/7 + 2462361*z/7 + 234510 = 0.
-273595, -2/3
Find t such that -6*t**3 - 28*t**2 + 3874*t - 1288 = 0.
-28, 1/3, 23
Determine x so that -2*x**3/7 - 447886*x**2/7 - 25075457566*x/7 - 25075009682/7 = 0.
-111971, -1
Determine t, given that t**4/5 + 19*t**3/5 - t**2/5 - 1111*t/5 - 1092/5 = 0.
-13, -12, -1, 7
Factor -x**5/5 - 458*x**4/5 - 913*x**3/5 - 456*x**2/5.
-x**2*(x + 1)**2*(x + 456)/5
Factor -4*g**3 - 532424*g**2 - 17717739648*g - 35433349632.
-4*(g + 2)*(g + 66552)**2
Solve j**5/2 + 483*j**4/2 - 253*j**3 - 5304*j**2 + 9680*j = 0.
-484, -5, 0, 2, 4
Let -m**4/2 - 32*m**3 - 224*m**2 = 0. What is m?
-56, -8, 0
Factor -4*i**3 + 2044*i**2 - 33256*i - 165984.
-4*(i - 494)*(i - 21)*(i + 4)
Factor -3*f**2 - 1300260*f - 140889672300.
-3*(f + 216710)**2
Determine l, given that 212*l**4/7 + 30*l**3 - 1910*l**2/7 - 270*l + 18/7 = 0.
-3, -1, 1/106, 3
Factor 25*v**3 + 903620*v**2 + 722884*v + 144576.
(v + 36144)*(5*v + 2)**2
Factor 6*n**2/13 - 12172*n/13 + 68782/13.
2*(n - 2023)*(3*n - 17)/13
Determine g, given that 2*g**3 - 2912*g**2 + 162392*g - 313152 = 0.
2, 56, 1398
Solve 4*t**2/7 - 468668*t/7 + 937320/7 = 0 for t.
2, 117165
Factor -3*d**2 - 89712*d - 358800.
-3*(d + 4)*(d + 29900)
What is a in -3*a**5 + 621*a**4 + 7749*a**3 + 29391*a**2 + 38034*a + 15768 = 0?
-6, -4, -1, 219
Determine y, given that -2*y**4/9 + 32*y**3/9 + 46*y**2 + 100*y = 0.
-6, -3, 0, 25
Find x, given that -5*x**2 - 449195*x - 449190 = 0.
-89838, -1
Factor -2*s**3 + 104*s**2 + 862*s - 2124.
-2*(s - 59)*(s - 2)*(s + 9)
Let -2*j**4/3 - 478*j**3 - 47668*j**2/3 + 16368*j = 0. What is j?
-682, -36, 0, 1
Factor f**4/2 + 2*f**3 - 33*f**2 + 58*f - 55/2.
(f - 5)*(f - 1)**2*(f + 11)/2
What is o in -3*o**3/5 + 27*o**2 + 174*o/5 - 1656/5 = 0?
-4, 3, 46
Solve -u**3 + 332*u**2 + 1003*u + 670 = 0.
-2, -1, 335
Factor 5*z**2 + 24070*z - 48160.
5*(z - 2)*(z + 4816)
Let -2*s**2/5 - 1816*s/5 + 19160 = 0. What is s?
-958, 50
What is a in -3*a**3 - 3825*a**2 + 7659*a - 3831 = 0?
-1277, 1
Solve -u**3 - 1922*u**2 + 145635*u = 0.
-1995, 0, 73
Factor -u**4/4 - 2121*u**3 - 9001523*u**2/2 - 8995161*u - 17986081/4.
-(u + 1)**2*(u + 4241)**2/4
Find y such that 3*y**5/5 - 3459*y**4/5 + 963624*y**3/5 + 19291992*y**2/5 + 16553328*y - 20603760 = 0.
-10, 1, 586
Factor 3*z**4 - 8097*z**3 + 7353423*z**2 - 2307812067*z + 55173141738.
3*(z - 891)**3*(z - 26)
Factor -5*g**4/3 - 130*g**3/3 - 245*g**2/3 - 40*g.
-5*g*(g + 1)**2*(g + 24)/3
Find f such that -f**5/2 + 2701*f**4/2 + 2703*f**3/2 - 2701*f**2/2 - 1351*f = 0.
-1, 0, 1, 2702
Determine z so that -7*z**4/4 - 295*z**3/2 - 35*z**2 + 590*z + 168 = 0.
-84, -2, -2/7, 2
Let 3*p**2 + 6159*p/2 = 0. What is p?
-2053/2, 0
Factor 5*y**2 - 3005*y - 24360.
5*(y - 609)*(y + 8)
What is l in 100*l**2 - 926*l - 740 = 0?
-37/50, 10
Factor -2*y**3/5 - 826*y**2/5 + 2040*y.
-2*y*(y - 12)*(y + 425)/5
Suppose -b**4/3 - 10*b**3/3 + b**2/3 + 250*b/3 + 200 = 0. Calculate b.
-6, -5, -4, 5
Solve -5*u**3 + 53655*u**2 - 268180*u + 321780 = 0.
2, 3, 10726
Find t, given that -3042*t**5 - 1209*t**4/2 + 4637*t**3/2 - 235*t**2/2 + 3*t/2 = 0.
-1, 0, 1/39, 3/4
Factor -c**4 + 376*c**3 - 6742*c**2 - 14616*c - 7497.
-(c - 357)*(c - 21)*(c + 1)**2
Factor -z**3/2 + 25285*z**2/2.
-z**2*(z - 25285)/2
Factor -242*a**3 - 99572*a**2 + 54366*a - 7416.
-2*(a + 412)*(11*a - 3)**2
Factor -b**2/10 + 808*b/5 + 2282.
-(b - 1630)*(b + 14)/10
Factor 2*b**2/13 + 75968*b/13.
2*b*(b + 37984)/13
Suppose j**5/2 - 22*j**4 - 282*j**3 + 648*j**2 = 0. What is j?
-12, 0, 2, 54
Let -4*z**5 - 45572*z**4 + 45596*z**3 + 227892*z**2 + 136728*z = 0. Calculate z.
-11394, -1, 0, 3
What is j in -2*j**4/17 - 6*j**3/17 + 36*j**2/17 - 8*j/17 - 48/17 = 0?
-6, -1, 2
Factor -2*p**3/19 + 11972*p**2/19 - 736498*p/19 + 11385928/19.
-2*(p - 5924)*(p - 31)**2/19
Factor h**3 + 60937*h**2.
h**2*(h + 60937)
Find m, given that 4*m**3 - 592*m**2 + 4964*m + 5560 = 0.
-1, 10, 139
Factor -3*l**3 + 3597*l**2 + 18210*l - 180600.
-3*(l - 1204)*(l - 5)*(l + 10)
Find m such that 3*m**3 + 2757*m**2 + 48897*m + 218943 = 0.
-901, -9
What is t in t**4 - 1774*t**3 + 21165*t**2 - 37012*t + 17620 = 0?
1, 10, 1762
Factor -8*c**3 + 1165*c**2 - 725*c.
-c*(c - 145)*(8*c - 5)
Factor -r**3/4 - 799*r**2/2 - 157584*r + 1616040.
-(r - 10)*(r + 804)**2/4
Solve -5*v**2 - 57435*v - 57430 = 0.
-11486, -1
Let 2*v**5/17 - 26*v**4/17 - 50*v**3/17 + 530*v**2/17 + 1488*v/17 + 936/17 = 0. What is v?
-3, -2, -1, 6, 13
Determine j so that 28*j**3 + 124*j**2 - 152*j = 0.
-38/7, 0, 1
Factor 4*a**4/7 + 2628*a**3/7 + 164832*a**2/7 + 2723536*a/7.
4*a*(a + 34)**2*(a + 589)/7
Factor -4*o**3 + 7608*o**2 + 84172*o.
-4*o*(o - 1913)*(o + 11)
Find r such that -2*r**3 - 342*r**2 - 670*r + 1014 = 0.
-169, -3, 1
Determine x, given that -2*x**5/23 + 62*x**4/23 - 478*x**3/23 - 62*x**2/23 + 480*x/23 = 0.
-1, 0, 1, 15, 16
Let 12*a**5 - 3160*a**4 - 16028*a**3/3 + 33968*a**2/3 - 4240*a = 0. What is a?
-3, 0, 2/3, 265
Determine l, given that l**4 + 82*l**3 - 309*l**2 - 4590*l = 0.
-85, -6, 0, 9
Factor a**2/7 + 3*a - 1078.
(a - 77)*(a + 98)/7
Factor f**4 - 180*f**3 + 177*f**2 + 358*f.
f*(f - 179)*(f - 2)*(f + 1)
Determine w so that -4*w**4 - 100*w**3 - 196*w**2 + 3540*w + 12600 = 0.
-21, -5, 6
Suppose 2*k**3/7 - 146*k**2/7 + 1180*k/7 - 256 = 0. Calculate k.
2, 7, 64
Factor 3*i**3 + 153*i**2 - 174*i - 936.
3*(i - 3)*(i + 2)*(i + 52