Factor 2*r**3/7 - 150*r**2/7 + 432*r - 7776/7.
2*(r - 36)**2*(r - 3)/7
Factor m**3/2 + 81*m**2 - 163*m/2.
m*(m - 1)*(m + 163)/2
Solve -2*o**4/17 - 6*o**3/17 + 6*o**2/17 + 22*o/17 + 12/17 = 0 for o.
-3, -1, 2
Let 4*d**4 + 74*d**3 - 154*d**2 - 620*d + 1200 = 0. Calculate d.
-20, -3, 2, 5/2
Factor -d**4/4 - 61*d**3/4 + 64*d**2 - 65*d.
-d*(d - 2)**2*(d + 65)/4
Let -38*w**4/5 - 22*w**3/5 + 212*w**2/5 + 88*w/5 - 48 = 0. What is w?
-2, -30/19, 1, 2
Factor 5*x**2 - 31670*x + 50149445.
5*(x - 3167)**2
Factor 5*y**2 + 7350*y + 2701125.
5*(y + 735)**2
Find b, given that -74*b**3/9 - 1114*b**2/9 + 1124*b/9 + 64/9 = 0.
-16, -2/37, 1
Let -5*n**2 + 35990*n - 64764005 = 0. Calculate n.
3599
Factor -2*v**4 + 56*v**3 + 118*v**2 + 60*v.
-2*v*(v - 30)*(v + 1)**2
Determine q so that 2*q**2/3 + 42*q - 276 = 0.
-69, 6
Let -5*q**4 + 382*q**3 - 152*q**2 = 0. What is q?
0, 2/5, 76
Find g, given that 2*g**4 + 14*g**3 - 52*g**2 - 144*g = 0.
-9, -2, 0, 4
Let -4*p**5 + 68*p**4 + 644*p**3 - 7492*p**2 - 58240*p - 50176 = 0. Calculate p.
-7, -1, 16
Determine y, given that -5*y**4 + 245*y**3 - 2510*y**2 - 14820*y + 60840 = 0.
-6, 3, 26
Let -2*b**5/9 + 136*b**4/9 + 2272*b**3/9 + 1996*b**2/9 - 2270*b/9 - 2132/9 = 0. Calculate b.
-13, -1, 1, 82
Solve 2*d**2 + 102*d - 104 = 0.
-52, 1
Suppose -n**2/2 + 571*n/2 = 0. What is n?
0, 571
Factor 42*l**4 + 40*l**3 + 8*l**2.
2*l**2*(3*l + 2)*(7*l + 2)
Factor -w**2 - 1624*w - 659344.
-(w + 812)**2
Find u such that -3*u**3/2 - 63*u**2/2 - 108*u - 102 = 0.
-17, -2
What is r in 3*r**3 - 15*r**2 - 96*r - 108 = 0?
-2, 9
Factor 2*j**3 + 126*j**2 - 276*j - 1040.
2*(j - 4)*(j + 2)*(j + 65)
Let -3*q**4 - 549*q**3 - 1629*q**2 - 1623*q - 540 = 0. Calculate q.
-180, -1
Factor -4*b**3/7 + 24*b**2/7 + 4*b.
-4*b*(b - 7)*(b + 1)/7
Factor f**3/2 + 2*f**2 + 5*f/2 + 1.
(f + 1)**2*(f + 2)/2
Determine g, given that -20*g**2 + 14595*g + 3650 = 0.
-1/4, 730
Determine v, given that -v**2/2 - 227*v - 51529/2 = 0.
-227
Suppose 3*d**4 + 21*d**3 + 54*d**2 + 60*d + 24 = 0. Calculate d.
-2, -1
Find s, given that -4*s**2 - 44*s + 1104 = 0.
-23, 12
Determine x so that -3*x**4/5 + 12*x**3 - 111*x**2/5 + 54*x/5 = 0.
0, 1, 18
Determine n, given that 2*n**3 + 2354*n**2 - 2356*n = 0.
-1178, 0, 1
Factor -26*t**3/3 + 22*t**2/3 + 4*t/3.
-2*t*(t - 1)*(13*t + 2)/3
Find l such that -6*l**3/5 - 6*l**2 + 192*l/5 - 216/5 = 0.
-9, 2
Factor c**5/4 - 153*c**4/4 + 4477*c**3/2 - 121841*c**2/2 + 2887221*c/4 - 9370805/4.
(c - 37)**4*(c - 5)/4
Let -4*f**4 - 8*f**3 - 4*f**2 = 0. What is f?
-1, 0
Suppose -3*n**5 + 3*n**3 = 0. What is n?
-1, 0, 1
Let 4*f**5 + 12*f**4 - 28*f**3 - 44*f**2 + 24*f + 32 = 0. What is f?
-4, -1, 1, 2
Factor -2*v**4/7 + 3700*v**3/7 - 326304*v**2 + 67434752*v - 133568512.
-2*(v - 616)**3*(v - 2)/7
Factor 35*u**3 + 1200*u**2 - 885*u - 350.
5*(u - 1)*(u + 35)*(7*u + 2)
Solve -4*x**4 + 52*x**3 - 132*x**2 + 124*x - 40 = 0 for x.
1, 10
Solve -20*a**3 + 796*a**2 + 1840*a + 336 = 0.
-2, -1/5, 42
Solve s**4 - 16*s**3 - 61*s**2 + 76*s = 0.
-4, 0, 1, 19
Determine d so that 4*d**3 - 156*d**2 - 3264*d - 14080 = 0.
-8, 55
What is y in y**4 + 1042*y**3 + 271441*y**2 = 0?
-521, 0
Find y, given that y**2/3 - 8*y/3 - 3 = 0.
-1, 9
Let 46*u**2 + 88*u - 8 = 0. What is u?
-2, 2/23
Solve t**2/2 + 4*t + 8 = 0 for t.
-4
Factor 2*f**4/7 - 36*f**3/7 + 34*f**2/7.
2*f**2*(f - 17)*(f - 1)/7
What is y in 2*y**3 - 26*y**2 - 92*y - 64 = 0?
-2, -1, 16
Factor 5*t**5 + 1730*t**4 + 198365*t**3 + 7402540*t**2 - 15407120*t + 7804480.
5*(t - 1)**2*(t + 116)**3
Factor -4*j**2/9 + 848*j/9 - 44944/9.
-4*(j - 106)**2/9
Factor 3*v**3/4 - 201*v**2/4 + 381*v/4 + 585/4.
3*(v - 65)*(v - 3)*(v + 1)/4
Determine f, given that 2*f**5/11 - 6*f**4/11 - 30*f**3/11 - 34*f**2/11 - 12*f/11 = 0.
-1, 0, 6
Factor -r**4 + 2*r**3 + 12*r**2 + 14*r + 5.
-(r - 5)*(r + 1)**3
Factor -v**3/9 + 59*v**2/9 - 280*v/3 - 100.
-(v - 30)**2*(v + 1)/9
Find x, given that 3*x**2 + 6*x = 0.
-2, 0
Factor 2*a**4 + 60*a**3 + 648*a**2 + 2980*a + 4950.
2*(a + 5)**2*(a + 9)*(a + 11)
Let 2*t**2/17 + 28*t/17 + 26/17 = 0. What is t?
-13, -1
Factor -3*g**5/4 + 3*g**4 + 39*g**3/2 + 33*g**2 + 93*g/4 + 6.
-3*(g - 8)*(g + 1)**4/4
Suppose -3*v**2/5 - 6018*v/5 - 3018027/5 = 0. What is v?
-1003
Factor 3*g**5/2 + 39*g**4/2 - 87*g**3/2 + 45*g**2/2.
3*g**2*(g - 1)**2*(g + 15)/2
Suppose 4*s**4 + 424*s**3 + 10340*s**2 - 48400*s = 0. Calculate s.
-55, 0, 4
Find c, given that c**4/10 - c**3/2 + 3*c**2/5 = 0.
0, 2, 3
Factor -w**4/3 + 20*w**3/3 + 4*w**2 - 1120*w/3 - 3136/3.
-(w - 14)**2*(w + 4)**2/3
Factor -3*j**2 + 696*j - 40368.
-3*(j - 116)**2
Suppose 4*o**4 - 96*o**3 + 480*o**2 - 896*o + 576 = 0. What is o?
2, 18
Factor 2*i**4/5 + i**3 - i**2/5 - 6*i/5.
i*(i - 1)*(i + 2)*(2*i + 3)/5
Suppose 2*a**5 - 102*a**4 - 912*a**3 - 1888*a**2 = 0. What is a?
-4, 0, 59
Factor -v**2/4 + 81*v/2 - 6561/4.
-(v - 81)**2/4
Factor 2*x**2 + 2*x - 4.
2*(x - 1)*(x + 2)
Factor -2*q**2/7 - 2*q/7 + 12/7.
-2*(q - 2)*(q + 3)/7
Solve 4*k**3 + 596*k**2 - 4*k - 596 = 0 for k.
-149, -1, 1
Factor x**5/2 - 7*x**4/2 + 5*x**3/2 + 7*x**2/2 - 3*x.
x*(x - 6)*(x - 1)**2*(x + 1)/2
Factor -2*n**3/15 + 4*n**2/15 + 128*n/15 + 64/3.
-2*(n - 10)*(n + 4)**2/15
Let -72*t**5/19 + 96*t**4 + 9910*t**3/19 + 5186*t**2/19 - 2588*t/19 + 240/19 = 0. Calculate t.
-4, -1, 1/6, 30
Factor -4*b**2 - 282*b - 140.
-2*(b + 70)*(2*b + 1)
Factor 3*a**4 - 12*a**3 - 84*a**2 - 96*a.
3*a*(a - 8)*(a + 2)**2
Factor -2*w**2/13 - 1084*w/13 - 146882/13.
-2*(w + 271)**2/13
Factor 5*a**3/2 - 15*a**2/2 - 10*a + 30.
5*(a - 3)*(a - 2)*(a + 2)/2
Solve t**4/2 + 43*t**3/2 + 161*t**2/2 + 197*t/2 + 39 = 0 for t.
-39, -2, -1
Factor -2*s**3/15 + 6*s**2/5.
-2*s**2*(s - 9)/15
What is t in 3*t**5 + 27*t**4 + 45*t**3 - 87*t**2 - 216*t - 108 = 0?
-6, -3, -1, 2
Solve 12*z**4 + 20*z**3 - 68*z**2 - 52*z + 24 = 0.
-3, -1, 1/3, 2
Factor -3*z**4 + 3*z**3 + 78*z**2 + 72*z.
-3*z*(z - 6)*(z + 1)*(z + 4)
Factor -36*x**3 - 4688*x**2 - 10256*x - 2048.
-4*(x + 2)*(x + 128)*(9*x + 2)
Factor 4*z**3 + 268*z**2 + 4352*z - 4624.
4*(z - 1)*(z + 34)**2
Suppose 3*v**5 - 33*v**4 - 78*v**3 - 6*v**2 + 75*v + 39 = 0. Calculate v.
-1, 1, 13
Factor 6*m**4 + 80*m**3 + 326*m**2 + 420*m.
2*m*(m + 3)*(m + 7)*(3*m + 10)
Let 19*i**2 - 43*i + 10 = 0. Calculate i.
5/19, 2
Solve 2*a**2/19 + 1170*a/19 = 0 for a.
-585, 0
Factor 2*y**5 - 12*y**4 + 16*y**3 + 4*y**2 - 18*y + 8.
2*(y - 4)*(y - 1)**3*(y + 1)
Factor l**2/3 + 257*l/3.
l*(l + 257)/3
Factor w**3/4 + w**2/2 - 16*w - 32.
(w - 8)*(w + 2)*(w + 8)/4
Factor -2*t**3/3 + 8*t**2/3 + 40*t/3 - 32.
-2*(t - 6)*(t - 2)*(t + 4)/3
Factor -g**2/4 - 315*g/2 + 631/4.
-(g - 1)*(g + 631)/4
Let 2*l**3/3 + 86*l**2/3 + 430*l/3 - 518/3 = 0. What is l?
-37, -7, 1
Let -2*k**5/7 + 16*k**4/7 - 26*k**3/7 + 12*k**2/7 = 0. What is k?
0, 1, 6
Determine q so that 3*q**5 + 255*q**4 + 246*q**3 - 504*q**2 = 0.
-84, -2, 0, 1
Factor -y**5 - 12*y**4 - 36*y**3 + 32*y**2 + 192*y.
-y*(y - 2)*(y + 4)**2*(y + 6)
Factor 12*o**2 + 303*o - 315.
3*(o - 1)*(4*o + 105)
Find i such that -3*i**5 + 3*i**4 + 21*i**3 - 39*i**2 + 18*i = 0.
-3, 0, 1, 2
Let 4*v**3 + 192*v**2 + 540*v = 0. Calculate v.
-45, -3, 0
What is u in -2*u**4/7 + 4*u**3/7 + 78*u**2/7 + 136*u/7 + 64/7 = 0?
-4, -1, 8
Factor -k**4/2 - 3*k**3 - 6*k**2 - 5*k - 3/2.
-(k + 1)**3*(k + 3)/2
Determine n so that n**3/4 + n**2/4 - 3*n/2 = 0.
-3, 0, 2
What is y in -3*y**4 - 27*y**3/2 + 351*y**2/2 + 96*y - 90 = 0?
-10, -1, 1/2, 6
Factor 4*z**4 - 484*z**3 - 488*z**2.
4*z**2*(z - 122)*(z + 1)
Let 4*u**5 + 12*u**4 - 24*u**3 - 32*u**2 = 0. Calculate u.
-4, -1, 0, 2
Find u, given that -5*u**5 + 755*u**4 + 765*u**3 - 755*u**2 - 760*u = 0.
-1, 0, 1, 152
Factor 9*z**4 - 47*z**3 + 46*z**2 - 8*z.
z*(z - 4)*(z - 1)*(9*z - 2)
Factor -3*w**5 + 30*w**4 + 33*w**3.
-3*w**3*(w - 11)*(w + 1)
Suppose 3*p**4/8 + 6*p**3 - 3*p**2/8 - 6*p = 0. What is p?
-16, -1, 0, 1
Factor c**5 + 51*c**4 - c**3 - 51*c**2.
c**2*(c - 1)*(c + 1)*(c + 51)
Suppose -k**3/4 - 41*k**2/8 - 85*k/4 - 75/8 = 0. What is k?
-15, -5, -1/2
Factor -31*l**2/2 - 94*l - 6.
-(l + 6)*(31*l + 2)/2
Suppose -2*f**2 + 690*f + 692 = 0. Calculate f.
-1, 346
Suppose d**3/10 - 5261*d**2/10 + 692216*d - 691690 = 0. Calculate d.
1, 2630
Factor -5*v**4 + 70*v**3 - 120*v**2 - 630*v + 1485.
-5*(v - 11)*(v - 3)**2*(v + 3)
Factor -i**2 - 100*i - 99.
-(i + 1)*(i + 99)
Solve -35*u**3 + 559*u**2 + 16*u = 0.
-1/35