*4 - 160*s**3 + 1475*s**2 - 4740*s + 3420.
5*(s - 19)*(s - 6)**2*(s - 1)
Factor a**2/3 + 20*a/3 + 12.
(a + 2)*(a + 18)/3
Factor -21*b**3 - 162*b**2 - 321*b - 180.
-3*(b + 1)*(b + 5)*(7*b + 12)
Factor 2*j**4 + 54*j**3 + 36*j**2 - 440*j - 624.
2*(j - 3)*(j + 2)**2*(j + 26)
What is i in -5*i**2 - 27190*i - 36964805 = 0?
-2719
Let -g**2/2 - 249*g = 0. What is g?
-498, 0
What is b in 8*b**5/13 - 2*b**4 - 34*b**3/13 + 34*b**2/13 + 2*b - 8/13 = 0?
-1, 1/4, 1, 4
Let -k**4 + 4*k**3 - 5*k**2 + 2*k = 0. What is k?
0, 1, 2
What is d in -8*d**3 + 206*d**2 - 500*d - 138 = 0?
-1/4, 3, 23
Factor -2*j**2/5 + 278*j/5.
-2*j*(j - 139)/5
What is m in -2*m**5/5 + m**4 + 138*m**3/5 + 481*m**2/5 + 614*m/5 + 264/5 = 0?
-4, -2, -3/2, -1, 11
What is m in m**3/7 + 37*m**2/7 + 36*m/7 = 0?
-36, -1, 0
Determine y, given that -3*y**4 + 87*y**3 + 981*y**2 + 1785*y - 2850 = 0.
-5, 1, 38
Let -2*c**4 + 2356*c**3/3 - 76568*c**2 - 103228*c - 77618/3 = 0. What is c?
-1, -1/3, 197
Suppose -2*l**3/17 - 14*l**2/17 - 14*l/17 + 30/17 = 0. What is l?
-5, -3, 1
Factor r**2/3 - 26*r/3 + 169/3.
(r - 13)**2/3
Solve 285*a**2 - 865*a + 30 = 0.
2/57, 3
Find g, given that 3*g**4 - 12*g**3 - 3*g**2 + 12*g = 0.
-1, 0, 1, 4
Determine w, given that w**2 + 26*w + 25 = 0.
-25, -1
Factor 3*h**2/4 - 13761*h/4 + 6879/2.
3*(h - 4586)*(h - 1)/4
Suppose 6*t**3 - 111*t**2/2 - 93*t/2 + 15 = 0. What is t?
-1, 1/4, 10
Factor -f**5 - 2*f**4 + 35*f**3 + 72*f**2 + 36*f.
-f*(f - 6)*(f + 1)**2*(f + 6)
Let -w**5 + 3*w**4 - 3*w**3 + w**2 = 0. What is w?
0, 1
Solve 2*g**2/11 + 30*g/11 - 68/11 = 0.
-17, 2
Factor -3*b**3/5 - 426*b**2/5 - 423*b/5.
-3*b*(b + 1)*(b + 141)/5
Factor -5*m**4 - 15*m**3 + 20*m**2.
-5*m**2*(m - 1)*(m + 4)
Factor d**3/6 + 41*d**2/3 + 79*d/6 - 27.
(d - 1)*(d + 2)*(d + 81)/6
Find h such that 3*h**3/2 - 220*h**2 + 1579*h/2 - 429 = 0.
2/3, 3, 143
Factor v**2/8 - 245*v/8 - 93.
(v - 248)*(v + 3)/8
Factor -u**2/4 - 27*u/4 + 7.
-(u - 1)*(u + 28)/4
Factor -75*p**4/2 - 435*p**3/2 - 2343*p**2/8 + 261*p/4 - 27/8.
-3*(p + 3)**2*(10*p - 1)**2/8
Find v, given that -2*v**2/17 - 336*v/17 - 14112/17 = 0.
-84
Suppose 2*n**3 - 48*n**2 - 50*n = 0. What is n?
-1, 0, 25
Solve t**3/5 + 11*t**2 + 728*t/5 - 784/5 = 0.
-28, 1
Solve -3*t**4 + 126*t**3 - 123*t**2 = 0 for t.
0, 1, 41
Determine v so that v**4/2 - 3*v**3/2 - v**2 + 6*v - 4 = 0.
-2, 1, 2
Let 2*x**5 - 6*x**4 - 2*x**3 + 22*x**2 - 24*x + 8 = 0. Calculate x.
-2, 1, 2
Factor -2*w**3/3 + 124*w**2/3 - 878*w/3 + 252.
-2*(w - 54)*(w - 7)*(w - 1)/3
Factor -3*n**2 - 186*n + 189.
-3*(n - 1)*(n + 63)
Solve 2960*a**5 + 10004*a**4 + 12228*a**3 + 6260*a**2 + 1052*a - 24 = 0.
-1, -2/5, 3/148
Solve -y**4/7 + 72*y**3/7 - 1432*y**2/7 + 4896*y/7 - 4624/7 = 0 for y.
2, 34
Factor 5*m**2 + 27680*m + 38309120.
5*(m + 2768)**2
Factor -3*y**3 + 411*y**2 - 14280*y + 13872.
-3*(y - 68)**2*(y - 1)
Suppose 57*w**2/8 - 3711*w/8 + 195/4 = 0. What is w?
2/19, 65
Solve -f**4/6 - 8*f**3/3 + 35*f**2/6 - 3*f = 0 for f.
-18, 0, 1
Factor -4*s**3/5 + 56*s**2/5 - 52*s/5.
-4*s*(s - 13)*(s - 1)/5
Factor -4*l**3/7 + 108*l**2/7 - 204*l/7 + 100/7.
-4*(l - 25)*(l - 1)**2/7
Factor -3*q**2/2 + 165*q/2 - 564.
-3*(q - 47)*(q - 8)/2
Suppose 19652*u**3 + 5202*u**2 + 459*u + 27/2 = 0. What is u?
-3/34
Suppose 2*g**4/11 + 6*g**3/11 - 150*g**2/11 - 950*g/11 - 1500/11 = 0. Calculate g.
-5, -3, 10
Solve s**3/2 - 32*s**2 - 67*s/2 + 65 = 0 for s.
-2, 1, 65
Determine l, given that 2*l**3 + 216*l**2 - 440*l = 0.
-110, 0, 2
Find b, given that 2*b**5/23 - 62*b**4/23 - 146*b**3/23 + 422*b**2/23 + 1296*b/23 + 792/23 = 0.
-2, -1, 3, 33
Factor -3*p**5/2 + 33*p**4/2 - 81*p**3/2 + 75*p**2/2 - 12*p.
-3*p*(p - 8)*(p - 1)**3/2
Suppose -2*d**5/3 + 52*d**4/9 - 134*d**3/9 + 128*d**2/9 - 40*d/9 = 0. Calculate d.
0, 2/3, 1, 2, 5
What is b in -2*b**5/5 + 64*b**4/15 + 12*b**3/5 - 152*b**2/15 - 2*b + 88/15 = 0?
-4/3, -1, 1, 11
Solve 4*v**3/5 - 124*v**2/5 + 224*v - 2352/5 = 0.
3, 14
Factor -3*r**3 + 3771*r**2 - 7533*r + 3765.
-3*(r - 1255)*(r - 1)**2
Factor -48*v**4/7 - 312*v**3 - 24291*v**2/7 + 1794*v - 1587/7.
-3*(v + 23)**2*(4*v - 1)**2/7
Factor w**3/4 - 175*w**2/2 + 30625*w/4.
w*(w - 175)**2/4
Determine h, given that -28*h**5 - 636*h**4 - 2028*h**3 - 964*h**2 + 456*h = 0.
-19, -3, -1, 0, 2/7
Factor w**5/5 - 8*w**4/5 + 22*w**3/5 - 28*w**2/5 + 17*w/5 - 4/5.
(w - 4)*(w - 1)**4/5
Find x, given that -x**3/5 - 98*x**2/5 + 40*x = 0.
-100, 0, 2
Factor -p**5 - 219*p**4 - 1079*p**3 - 1933*p**2 - 1500*p - 428.
-(p + 1)**3*(p + 2)*(p + 214)
Factor 2*k**3 - 30*k**2 + 46*k + 78.
2*(k - 13)*(k - 3)*(k + 1)
Determine w so that 2*w**4/13 - 940*w**3/13 + 11376*w**2 - 606528*w + 1168128 = 0.
2, 156
Suppose -7*q**3 + 79*q**2 - 22*q = 0. What is q?
0, 2/7, 11
Find w such that -w**2 - 57*w - 782 = 0.
-34, -23
Find m such that 2*m**3 + 66*m**2 + 510*m - 578 = 0.
-17, 1
Let -p**3/3 - 37*p**2/3 - 176*p/3 + 3388/3 = 0. What is p?
-22, 7
Suppose 6*d**5/7 + 9*d**4/7 + 3*d**3/7 = 0. What is d?
-1, -1/2, 0
Solve -2*k**5/11 - 2*k**4/11 + 28*k**3/11 + 12*k**2/11 - 90*k/11 + 54/11 = 0 for k.
-3, 1, 3
Let u**2/4 + 2019*u/2 + 4076361/4 = 0. What is u?
-2019
Factor p**2/3 + 2680*p/3 + 1795600/3.
(p + 1340)**2/3
Factor 2*l**2 + 46*l - 1360.
2*(l - 17)*(l + 40)
Solve 2*u**5/13 - 34*u**4/13 - 74*u**3/13 - 38*u**2/13 = 0.
-1, 0, 19
Factor -4*l**3 + 12504*l**2 - 9771876*l.
-4*l*(l - 1563)**2
Suppose 4*h**5 - 8*h**4 = 0. Calculate h.
0, 2
Solve -4*d**4/9 + 70*d**3/9 - 124*d**2/3 + 776*d/9 - 560/9 = 0.
2, 7/2, 10
Factor -y**3/6 - 35*y**2/6 - 275*y/6 - 625/6.
-(y + 5)**2*(y + 25)/6
Find o, given that -35*o**4/4 - 580*o**3 - 345*o**2/4 + 5220*o + 1485 = 0.
-66, -3, -2/7, 3
Factor 10*w**3/3 - 154*w**2/3 + 128*w + 96.
2*(w - 12)*(w - 4)*(5*w + 3)/3
Find n, given that -2*n**5 - 18*n**4 - 40*n**3 - 24*n**2 = 0.
-6, -2, -1, 0
Factor 9*d**4 + 46*d**3 + 59*d**2 + 6*d.
d*(d + 2)*(d + 3)*(9*d + 1)
Solve 2*f**2 - 6628*f + 5491298 = 0.
1657
Solve j**2 + 558*j - 2815 = 0.
-563, 5
Determine g, given that -g**4 + 63*g**3 - 123*g**2 + 61*g = 0.
0, 1, 61
Factor -h**2/3 + 7*h/3 + 20.
-(h - 12)*(h + 5)/3
Factor -4*k**2 + 472*k - 13924.
-4*(k - 59)**2
Solve 3*b**3/7 - 81*b**2/7 + 540*b/7 = 0.
0, 12, 15
Factor -10793861*z**3 - 439569*z**2 - 5967*z - 27.
-(221*z + 3)**3
Factor -2*f**3 - 8*f**2 - 8*f.
-2*f*(f + 2)**2
Let 2*q**4/7 - 94*q**3/7 + 418*q**2/7 + 94*q/7 - 60 = 0. Calculate q.
-1, 1, 5, 42
Determine s, given that -10*s**5 - 286*s**4 + 1116*s**3 + 880*s**2 - 512*s = 0.
-32, -1, 0, 2/5, 4
Factor 5*q**2 - 195*q - 860.
5*(q - 43)*(q + 4)
Factor 2*b**3/11 + 32*b**2/11 + 168*b/11 + 288/11.
2*(b + 4)*(b + 6)**2/11
Let r**5/2 - r**4/4 - 7*r**3/2 + 19*r**2/4 - 3*r/2 = 0. What is r?
-3, 0, 1/2, 1, 2
Suppose 2*l**5 + 2*l**4 - 2*l**3 - 2*l**2 = 0. What is l?
-1, 0, 1
Factor 2*y**3/11 + 10*y**2/11 + 6*y/11 - 18/11.
2*(y - 1)*(y + 3)**2/11
Factor -3*k**2 - 312*k + 963.
-3*(k - 3)*(k + 107)
Find m such that -m**3/8 + 57*m**2/8 - 207*m/8 - 265/8 = 0.
-1, 5, 53
Solve -3*t**2 - 48*t = 0.
-16, 0
Factor 2*t**3 - 4*t**2 - 2*t + 4.
2*(t - 2)*(t - 1)*(t + 1)
Solve q**3 - 16*q**2 + 55*q + 72 = 0.
-1, 8, 9
Factor 3*q**4/4 + 39*q**3/2 + 399*q**2/4.
3*q**2*(q + 7)*(q + 19)/4
Factor m**4/3 + 127*m**3/3 - 656*m**2/3 + 176*m.
m*(m - 4)*(m - 1)*(m + 132)/3
Determine y so that -5*y**4 - 25*y**3 + 50*y**2 + 100*y - 120 = 0.
-6, -2, 1, 2
Solve 2*b**3/7 - 430*b**2/7 + 1264*b/7 + 1696/7 = 0 for b.
-1, 4, 212
Find c such that 3*c**3/4 + 183*c**2/2 + 11163*c/4 = 0.
-61, 0
Factor 3*b**2 - 648*b - 651.
3*(b - 217)*(b + 1)
What is w in -56*w**3 - 74*w**2 - 10*w + 8 = 0?
-1, -4/7, 1/4
Solve -4*r**4 - 188*r**3 - 2688*r**2 - 9920*r + 12800 = 0 for r.
-20, -8, 1
What is g in -20*g**5/17 - 202*g**4/17 - 666*g**3/17 - 820*g**2/17 - 152*g/17 + 240/17 = 0?
-5, -2, -3/2, 2/5
What is a in 2*a**3 - 66*a**2 - 216*a = 0?
-3, 0, 36
Suppose 16*c**3 - 62*c**2 - 88*c - 10 = 0. Calculate c.
-1, -1/8, 5
Factor -2*p**4 + 196*p**3 + 1248*p**2.
-2*p**2*(p - 104)*(p + 6)
Find l, given that 88*l**5/9 + 26*l**4 + 184*l**3/9 + 2*l**2 - 20*l/9 = 0.
-1, -10/11, 0, 1/4
Let -a**2/5 - 17*a/5 = 0. What is a?
-17, 0
Determine q so that -5*q**5 + 50*q**4 - 155*q**3 + 130*q**2 + 140*q - 200 = 0.
-1, 2, 5
Determine j, given that -10*j**2 + 6124*j/3 - 272 = 0.
2/15, 204
Determine r so that 5*r**5 + 235*r**4 + 860*r**3 - 80*r**2 - 3520*r - 3440 = 0.
-43, -2, 2
Factor -a