 - 2*v**2 - 30*v = 0. Calculate v.
-15, -1, 0, 1
Solve 5*l**4 + 85*l**3 - 5*l**2 - 85*l = 0.
-17, -1, 0, 1
Find r such that -2*r**4/9 - 26*r**3/3 = 0.
-39, 0
Suppose 4*z**4/3 - 41*z**3/3 + 22*z**2/3 + 71*z - 18 = 0. Calculate z.
-2, 1/4, 3, 9
Suppose -36*r**3 - 35*r**2 + r = 0. Calculate r.
-1, 0, 1/36
Let -l**2/4 + 4927*l - 24275329 = 0. Calculate l.
9854
Solve -2*s**3/5 - 1636*s**2/5 + 1642*s/5 + 3276/5 = 0 for s.
-819, -1, 2
Solve z**4/7 + z**3 - 51*z**2/7 - 67*z/7 + 110/7 = 0 for z.
-11, -2, 1, 5
Factor 5*x**4 - 100*x**3 + 500*x**2.
5*x**2*(x - 10)**2
Factor 2*s**5 - 12*s**4 + 18*s**3 + 8*s**2 - 24*s.
2*s*(s - 3)*(s - 2)**2*(s + 1)
Let 2*h**4 + 26*h**3 + 66*h**2 + 62*h + 20 = 0. Calculate h.
-10, -1
Determine y so that 5*y**2 + 87910*y + 386408405 = 0.
-8791
Determine q so that q**2/5 - 463*q/5 = 0.
0, 463
Find i such that 2*i**4 - 1340*i**3 + 297000*i**2 - 21262500*i - 113906250 = 0.
-5, 225
Factor 2*o**3/3 + 14*o**2/3 - 44*o - 48.
2*(o - 6)*(o + 1)*(o + 12)/3
Factor u**2 + 150*u + 149.
(u + 1)*(u + 149)
Factor -2*t**3/13 - 6*t**2/13 + 2*t/13 + 6/13.
-2*(t - 1)*(t + 1)*(t + 3)/13
Factor -5*a**2 - 3490*a - 609005.
-5*(a + 349)**2
Determine n so that 15*n**5 + 879*n**4 + 15126*n**3 + 58548*n**2 - 107016*n + 32448 = 0.
-26, -8, 2/5, 1
Find g, given that -5*g**2 - 355*g = 0.
-71, 0
Factor x**2 - 5*x.
x*(x - 5)
Factor 4*y**4 - 364*y**3 - 372*y**2 + 364*y + 368.
4*(y - 92)*(y - 1)*(y + 1)**2
Factor 3*l**2 - 390*l - 393.
3*(l - 131)*(l + 1)
Find h such that 4*h**4/7 + 108*h**3/7 - 332*h**2/7 - 19836*h/7 - 37544/7 = 0.
-19, -2, 13
Find k, given that 3*k**2/5 - 762*k/5 + 48387/5 = 0.
127
Let 3*m**2/7 + 246*m + 1719/7 = 0. What is m?
-573, -1
Determine n, given that -200*n**5/7 - 4320*n**4/7 - 2934*n**3 + 11222*n**2/7 + 11820*n/7 + 288 = 0.
-14, -8, -3/10, 1
Suppose -4*x**2 - 244*x + 4560 = 0. Calculate x.
-76, 15
Determine u so that 3*u**4 + 21*u**3 - 144*u**2 - 84*u + 528 = 0.
-11, -2, 2, 4
Determine v so that 3*v**3/7 - 4611*v**2/7 + 9213*v/7 - 4605/7 = 0.
1, 1535
Factor -27*u**3/5 - 36*u**2/5 + 1428*u/5 + 4704/5.
-3*(u - 8)*(3*u + 14)**2/5
Solve o**4/7 + 881*o**3/7 + 36918*o**2 + 3593268*o - 3630312 = 0.
-294, 1
Suppose -t**5 - 2*t**4 + t**3 + 2*t**2 = 0. What is t?
-2, -1, 0, 1
Factor -w**4/4 - 103*w**3/4 - 2491*w**2/4 + 8427*w/4.
-w*(w - 3)*(w + 53)**2/4
Determine h, given that 38025*h**4/2 + 51285*h**3 + 53829*h**2/2 + 792*h + 6 = 0.
-2, -2/3, -1/65
Suppose -3*k**2 - 1038*k - 89787 = 0. What is k?
-173
Factor -3*f**2 + 3*f.
-3*f*(f - 1)
Factor -5*j**2/2 - 930*j - 1850.
-5*(j + 2)*(j + 370)/2
Let -a**2/3 + 4*a/3 = 0. Calculate a.
0, 4
Suppose -3*x**3 - 21*x**2 - 12*x + 36 = 0. Calculate x.
-6, -2, 1
Factor -98*f**3/5 + 2688*f**2/5 + 312*f + 224/5.
-2*(f - 28)*(7*f + 2)**2/5
Solve p**5/2 - 2*p**4 - 14*p**3 - 16*p**2 = 0 for p.
-2, 0, 8
Factor -3*s**3/2 + 45*s**2/2 - 21*s.
-3*s*(s - 14)*(s - 1)/2
Determine g so that -4*g**5 - 100*g**4 - 744*g**3 - 1352*g**2 + 748*g + 1452 = 0.
-11, -3, -1, 1
Factor 7*i**2/2 + i/2.
i*(7*i + 1)/2
Let -5*r**4 - 130*r**3 + 280*r**2 = 0. Calculate r.
-28, 0, 2
Factor -2*r**3/15 - 274*r**2/5 - 27456*r/5 + 86528/3.
-2*(r - 5)*(r + 208)**2/15
Solve -4*h**3 + 2508*h**2 + 7560*h = 0.
-3, 0, 630
Factor 5*i**3 + 20*i**2 + 20*i.
5*i*(i + 2)**2
Factor -i**3 + 108*i**2.
-i**2*(i - 108)
Find p, given that 4*p**2/7 + 20*p/7 - 8 = 0.
-7, 2
Find g such that g**3/8 + 15*g**2/4 - 567*g/8 + 539/2 = 0.
-44, 7
Suppose -4*q**5 + 4*q**4 = 0. Calculate q.
0, 1
Factor 4*b**2 + 292*b + 840.
4*(b + 3)*(b + 70)
Solve q**4 - 47*q**3 + 46*q**2 = 0.
0, 1, 46
Factor -1587*s**4/4 + 69*s**3/2 - 3*s**2/4.
-3*s**2*(23*s - 1)**2/4
Factor -j**3/5 + 21*j**2/5 - 74*j/5 - 96/5.
-(j - 16)*(j - 6)*(j + 1)/5
Factor -5*x**4 - 140*x**3 - 260*x**2.
-5*x**2*(x + 2)*(x + 26)
Factor -2*g**4 + 2388*g**3 - 715202*g**2 + 1423248*g - 710432.
-2*(g - 596)**2*(g - 1)**2
Determine i, given that i**5 - 58*i**4 + 1191*i**3 - 9882*i**2 + 26244*i - 17496 = 0.
1, 3, 18
Find n, given that -30*n**2 - 35*n + 50 = 0.
-2, 5/6
What is q in 2*q**3/15 - 14*q**2/15 - 656*q/15 + 544/3 = 0?
-17, 4, 20
Determine z, given that 60*z**4 - 141*z**3 - 111*z**2 - 18*z = 0.
-2/5, -1/4, 0, 3
Let 2*c**5/3 + 2*c**4/3 - 2*c**3/3 - 2*c**2/3 = 0. Calculate c.
-1, 0, 1
Find i, given that -492980*i**2 + 15700*i - 125 = 0.
5/314
Factor 35*q**4 + 305*q**3 + 435*q**2 + 95*q - 70.
5*(q + 1)**2*(q + 7)*(7*q - 2)
Suppose 2*g**4 + 154*g**3 - 530*g**2 - 162922*g = 0. Calculate g.
-53, 0, 29
Let -2*c**2/5 - 42*c/5 - 36 = 0. What is c?
-15, -6
Suppose -9*i**5/5 - 3*i**4 - 6*i**3/5 = 0. Calculate i.
-1, -2/3, 0
Suppose -n**2/10 - 27*n/10 = 0. What is n?
-27, 0
Solve 121*x**3 + 127578*x**2 + 46380*x + 4216 = 0.
-1054, -2/11
Factor v**3/9 - 9*v**2 - 166*v/9.
v*(v - 83)*(v + 2)/9
Factor 2*n**4/5 + 628*n**3/5 + 49298*n**2/5.
2*n**2*(n + 157)**2/5
Suppose -2*m**2 + 78*m - 448 = 0. What is m?
7, 32
What is w in 2*w**5/5 - 1928*w**4/5 + 616292*w**3/5 - 64274416*w**2/5 - 334478774*w/5 - 269586136/5 = 0?
-4, -1, 323
Solve 3*s**3/2 - 27*s**2/2 - 24*s + 90 = 0 for s.
-3, 2, 10
Solve -3*m**4/2 - 105*m**3 + 429*m**2/2 - 108*m = 0 for m.
-72, 0, 1
Factor 3*k**4 - 24*k**3 + 39*k**2 - 18*k.
3*k*(k - 6)*(k - 1)**2
Solve -2*l**3 + 206*l**2/7 - 444*l/7 - 144/7 = 0.
-2/7, 3, 12
Factor 5*z**5 - 380*z**4 + 2160*z**3 - 4240*z**2 + 2800*z.
5*z*(z - 70)*(z - 2)**3
Factor 3*y**3 + 6*y**2 - 48*y - 96.
3*(y - 4)*(y + 2)*(y + 4)
Factor -10*b**3/3 - 72*b**2 - 374*b + 484/3.
-2*(b + 11)**2*(5*b - 2)/3
Factor 6*r**3/5 + 84*r**2/5 - 294*r/5 + 204/5.
6*(r - 2)*(r - 1)*(r + 17)/5
What is s in -s**3/5 + 67*s**2 - 29503*s/5 + 239121/5 = 0?
9, 163
Let -98*f**5/3 + 287*f**4/3 + 520*f**3 + 1400*f**2/3 + 448*f/3 + 16 = 0. Calculate f.
-2, -1/2, -2/7, 6
Determine i, given that -4*i**4/5 + 92*i**3/5 - 348*i**2/5 - 2444*i/5 + 2704/5 = 0.
-4, 1, 13
Solve -d**3 - 5*d**2/4 + 23*d/4 + 3/2 = 0 for d.
-3, -1/4, 2
Factor -55*t**3 - 1720*t**2 - 10795*t + 43350.
-5*(t + 17)**2*(11*t - 30)
Let y**4 + 4480*y**3 + 5026552*y**2 + 20052480*y + 20034576 = 0. What is y?
-2238, -2
Factor 4*s**2 + 932*s.
4*s*(s + 233)
Factor -l**4/3 + 10*l**3/3 - 16*l**2/3.
-l**2*(l - 8)*(l - 2)/3
Factor -2*p**4 - 38*p**3 - 234*p**2 - 594*p - 540.
-2*(p + 3)**3*(p + 10)
Determine h so that 100*h**5 + 105*h**4 - 64*h**3 - 101*h**2 - 36*h - 4 = 0.
-1, -2/5, -1/4, 1
Determine d so that 176*d**4 + 1756*d**3 + 2952*d**2 + 1340*d - 32 = 0.
-8, -1, 1/44
Determine l, given that -5*l**4 - 18*l**3 - 24*l**2 - 14*l - 3 = 0.
-1, -3/5
Factor 4*f**3/21 - 26*f**2/21 + 4*f/7.
2*f*(f - 6)*(2*f - 1)/21
Factor -20*p**2 + 445*p - 110.
-5*(p - 22)*(4*p - 1)
Let -45*v**5 - 123*v**4 + 216*v**3 - 48*v**2 = 0. Calculate v.
-4, 0, 4/15, 1
What is x in -x**5/2 - 19*x**4/4 - 51*x**3/4 - 59*x**2/4 - 31*x/4 - 3/2 = 0?
-6, -1, -1/2
Factor 4*p**4 - 18048*p**3 + 30537216*p**2 - 22963986432*p + 6475844173824.
4*(p - 1128)**4
Suppose 3*o**5 - 3*o**4 - 36*o**3 - 12*o**2 + 48*o = 0. Calculate o.
-2, 0, 1, 4
Solve 3*g**3 + 3573*g**2 - 3*g - 3573 = 0 for g.
-1191, -1, 1
Suppose 3*n**3/5 - 111*n**2/5 - 234*n/5 = 0. Calculate n.
-2, 0, 39
Suppose 2*f**2/5 - 172*f/5 + 1248/5 = 0. Calculate f.
8, 78
Let -10*l**5 - 621*l**4 + 3898*l**3 - 7684*l**2 + 4632*l + 544 = 0. What is l?
-68, -1/10, 2
Factor -2*q**3/15 + 86*q**2/15 - 16*q.
-2*q*(q - 40)*(q - 3)/15
Determine y, given that 2*y**3/3 + 620*y**2 + 192200*y + 59582000/3 = 0.
-310
Solve -3*r**3/7 + 75*r**2/7 = 0 for r.
0, 25
Factor -2*k**3/5 - 296*k**2/5 + 2*k/5 + 296/5.
-2*(k - 1)*(k + 1)*(k + 148)/5
Factor 2*g**2 + 24*g + 64.
2*(g + 4)*(g + 8)
Suppose -2*c**3/9 + 88*c**2/9 - 130*c/3 = 0. What is c?
0, 5, 39
Factor -3*o**3/5 + 333*o**2/5 + 276*o.
-3*o*(o - 115)*(o + 4)/5
Factor 95*u**2/4 - 45*u/2 - 5/4.
5*(u - 1)*(19*u + 1)/4
Factor -b**2/5 + 31*b - 154/5.
-(b - 154)*(b - 1)/5
Factor -5*a**3 + 1410*a**2 + 8675*a - 10080.
-5*(a - 288)*(a - 1)*(a + 7)
Factor -j**3/3 - 2*j**2 - 5*j/3.
-j*(j + 1)*(j + 5)/3
Find i, given that 3*i**2 - 1272*i - 2556 = 0.
-2, 426
Factor -2*h**2 + 50*h + 52.
-2*(h - 26)*(h + 1)
Determine i so that 2*i**5 - 14*i**4/3 - 34*i**3 + 18*i**2 + 256*i/3 + 40 = 0.
-3, -1, -2/3, 2, 5
Suppose 4*p**2/3 + 272*p + 13872 = 0. Calculate p.
-102
Factor -3*v**3 - 9*v**2 + 99*v + 105.
-3*(v - 5)*(v + 1)*(v + 7)
Factor 21*f**5 - 48*f**4 + 33*f**3 - 6*f**2.
3*f**2*(f - 1)