*3 - 29040*j**2 - 44928*j + 15360 = 0.
-8, -5, 2/7
Determine f so that 3*f**2 - 330*f - 2457 = 0.
-7, 117
Factor r**3/4 + 17*r**2/4 - r/4 - 17/4.
(r - 1)*(r + 1)*(r + 17)/4
Factor -2*h**3/5 - 54*h**2/5 + 114*h/5 - 58/5.
-2*(h - 1)**2*(h + 29)/5
Let -3*m**2 - 72*m + 75 = 0. Calculate m.
-25, 1
Factor -2*u**3/7 - 80*u**2/7 - 506*u/7 + 6348/7.
-2*(u - 6)*(u + 23)**2/7
Suppose 4*v**3 - 316*v**2 + 6080*v + 6400 = 0. Calculate v.
-1, 40
Determine u, given that -28*u**3 + 4112*u**2 - 8140*u + 4056 = 0.
1, 1014/7
Suppose 36*b**4/11 - 178*b**3/11 - 478*b**2/11 - 278*b/11 - 14/11 = 0. What is b?
-1, -1/18, 7
Suppose 2*c**3 + 393*c**2/2 - 149*c - 99/2 = 0. What is c?
-99, -1/4, 1
Suppose 4*y**5/3 - 92*y**4/3 + 180*y**3 - 868*y**2/3 - 544*y/3 + 320 = 0. Calculate y.
-1, 1, 4, 15
Let t**3/3 + 20*t**2/3 + 36*t + 48 = 0. Calculate t.
-12, -6, -2
Determine q, given that -15*q**2 + 85*q + 30 = 0.
-1/3, 6
Factor -5*n**3 + 320*n**2 - 6720*n + 46080.
-5*(n - 24)**2*(n - 16)
What is f in -5*f**5 + 10*f**4 - 10*f**2 + 5*f = 0?
-1, 0, 1
Let 2*t**4 - 14*t**3 - 36*t**2 + 216*t + 432 = 0. Calculate t.
-3, -2, 6
Determine u, given that u**4/3 - 13*u**3 + 86*u**2 + 2684*u/3 - 968 = 0.
-6, 1, 22
Let 4*l**4 - 24*l**3 + 20*l**2 + 48*l = 0. Calculate l.
-1, 0, 3, 4
Suppose 2*s**3 + 20*s**2 - 46*s + 24 = 0. What is s?
-12, 1
Solve 15*h**5 + 5*h**4 - 10*h**3 = 0.
-1, 0, 2/3
What is z in -72*z**4 + 276*z**3 - 330*z**2 + 99*z + 27 = 0?
-1/6, 1, 3/2
Factor 2*r**2/5 + 172*r - 862/5.
2*(r - 1)*(r + 431)/5
Factor 5*s**3 - 55*s**2/6 - 155*s/6 + 25.
5*(s - 3)*(s + 2)*(6*s - 5)/6
What is v in v**5 - 100*v**4/3 + 43*v**3 - 32*v**2/3 = 0?
0, 1/3, 1, 32
Determine q, given that -2*q**2/15 + 106*q/15 - 20 = 0.
3, 50
Factor -2*c**2 + 32*c - 30.
-2*(c - 15)*(c - 1)
Let 2*p**4/5 - 18*p**3/5 + 22*p**2/5 + 42*p/5 = 0. What is p?
-1, 0, 3, 7
What is s in 3*s**3 + 1683*s**2 + 235197*s - 236883 = 0?
-281, 1
Solve r**3/2 + 23*r**2/2 + 60*r - 72 = 0 for r.
-12, 1
Factor -c**4 + 533*c**3 + 1074*c**2 - 2132*c - 4280.
-(c - 535)*(c - 2)*(c + 2)**2
Factor 266*w**3/15 - 268*w**2/15 + 2*w/15.
2*w*(w - 1)*(133*w - 1)/15
Factor -4*z**2 - 1568*z + 1572.
-4*(z - 1)*(z + 393)
Factor s**3/7 - 9*s**2/7 - 165*s/7 - 475/7.
(s - 19)*(s + 5)**2/7
Factor l**3/3 - 2*l**2 + 8*l/3.
l*(l - 4)*(l - 2)/3
Find i, given that 2*i**2 - 20*i + 18 = 0.
1, 9
Let -q**4/3 - 22*q**3 + 497*q**2/3 - 338*q + 584/3 = 0. What is q?
-73, 1, 2, 4
Suppose 2*z**3/13 + 170*z**2/13 - 28*z - 1392/13 = 0. What is z?
-87, -2, 4
Solve 5*d**4 + 105*d**3 = 0.
-21, 0
Suppose -2*p**5/13 - 28*p**4/13 + 14*p**3/13 + 16*p**2 + 168*p/13 = 0. Calculate p.
-14, -2, -1, 0, 3
What is h in -2*h**4/3 - 2*h**3/3 + 26*h**2/3 + 2*h/3 - 8 = 0?
-4, -1, 1, 3
What is s in -3*s**4/8 - 33*s**3/4 + 9*s**2 + 33*s/4 - 69/8 = 0?
-23, -1, 1
Factor 3*z**3/2 + 3999*z**2/2 + 667332*z + 665334.
3*(z + 1)*(z + 666)**2/2
Find z, given that z**3/2 + 76*z**2 - 307*z/2 + 77 = 0.
-154, 1
Factor 105*g**4 + 1690*g**3 + 6775*g**2 + 630*g.
5*g*(g + 7)*(g + 9)*(21*g + 2)
Solve -15*p**3 - 114*p**2 + 48*p = 0 for p.
-8, 0, 2/5
Factor n**2/6 + 5*n/6.
n*(n + 5)/6
What is n in -n**2 - 31*n = 0?
-31, 0
Find q such that 2*q**3/3 + 656*q**2/3 - 662*q = 0.
-331, 0, 3
Factor 3*v**2/4 - 15*v/2 + 12.
3*(v - 8)*(v - 2)/4
Find u, given that -u**5/4 + 9*u**4/4 - 29*u**3/4 + 39*u**2/4 - 9*u/2 = 0.
0, 1, 2, 3
Suppose -4*n**4 + 288*n**3 - 280*n**2 - 288*n + 284 = 0. Calculate n.
-1, 1, 71
Let -2*v**2 + 6926*v = 0. What is v?
0, 3463
Factor 4*z**2 - 80*z + 384.
4*(z - 12)*(z - 8)
Solve -d**3/4 + 3*d**2/2 - 11*d/4 + 3/2 = 0.
1, 2, 3
Suppose -3*l**2 + 3*l + 90 = 0. Calculate l.
-5, 6
What is f in -5*f**3 + 100*f**2 - 95*f = 0?
0, 1, 19
Determine v, given that 2*v**3/9 + 2*v**2/3 - 56*v/9 = 0.
-7, 0, 4
Factor d**3/10 - 74*d**2/5.
d**2*(d - 148)/10
Let 6*r**4/5 - 20*r**3 + 376*r**2/5 - 496*r/5 + 192/5 = 0. What is r?
2/3, 2, 12
What is n in n**5 + 12*n**4 - 74*n**3 - 132*n**2 + 433*n - 240 = 0?
-16, -3, 1, 5
Let 295*h**2 - 580*h - 20 = 0. What is h?
-2/59, 2
What is m in 10*m**2/13 - 242*m/13 + 232/13 = 0?
1, 116/5
Solve p**2/2 + 2*p - 6 = 0.
-6, 2
What is a in 4*a**5 + 56*a**4 - 140*a**3 - 176*a**2 + 272*a + 256 = 0?
-16, -1, 2
Suppose 2*l**2 + 52*l + 138 = 0. Calculate l.
-23, -3
What is c in -c**4/5 + 7*c**3/5 - 18*c**2/5 + 4*c - 8/5 = 0?
1, 2
Determine d, given that 2*d**3/7 + 10*d**2/7 + 4*d/7 - 16/7 = 0.
-4, -2, 1
Let -21*m**2/5 + 177*m - 126/5 = 0. Calculate m.
1/7, 42
Find s, given that 81*s**4 + 6120*s**3 + 114232*s**2 - 51680*s + 5776 = 0.
-38, 2/9
Factor -5*f**3 - 1770*f**2 - 208860*f - 8215160.
-5*(f + 118)**3
Find n such that 8*n**5 + 2100*n**4 + 184792*n**3 + 5541552*n**2 + 7992864*n + 2634012 = 0.
-87, -1, -1/2
Factor -b**3/6 - 7*b**2/3 + 7*b/2 + 15.
-(b - 3)*(b + 2)*(b + 15)/6
Factor -361*v**2/7 - 4940*v/7 - 16900/7.
-(19*v + 130)**2/7
Suppose -2*z**4/5 - 62*z**3/5 - 58*z**2/5 + 62*z/5 + 12 = 0. Calculate z.
-30, -1, 1
Solve 4*g**5/3 + 34*g**4/3 + 14*g**3/3 - 16*g**2/3 = 0.
-8, -1, 0, 1/2
Factor 5*m**4/4 - 497*m**3/4 + 1062*m**2 - 405*m.
m*(m - 90)*(m - 9)*(5*m - 2)/4
Factor 6*z**2 + 932*z/3 - 208/3.
2*(z + 52)*(9*z - 2)/3
Factor 36*a**2 + 507*a + 42.
3*(a + 14)*(12*a + 1)
Solve -l**3 + 21*l**2 + 360*l - 7600 = 0.
-19, 20
Factor -3*k**3 + 138*k**2 - 435*k - 30276.
-3*(k - 29)**2*(k + 12)
Determine q so that q**4/7 + 3860*q**3/7 + 5587350*q**2/7 + 3594528500*q/7 + 867180000625/7 = 0.
-965
Suppose -4*l**3 - 72*l**2 - 420*l - 784 = 0. Calculate l.
-7, -4
Factor -20*w**2 + 75*w - 45.
-5*(w - 3)*(4*w - 3)
Suppose -2*w**4/9 - 8*w**3/9 - 4*w**2/9 + 8*w/9 + 2/3 = 0. Calculate w.
-3, -1, 1
Factor -2*s**3 - 5130*s**2 - 4386150*s - 1250052750.
-2*(s + 855)**3
Factor 2*j**4/13 - 200*j**3/13 + 5736*j**2/13 - 36800*j/13 + 67712/13.
2*(j - 46)**2*(j - 4)**2/13
Factor 10*j**2 + 40055*j - 20030.
5*(j + 4006)*(2*j - 1)
Suppose 3*j**2 - 6108*j + 3108972 = 0. What is j?
1018
Factor -14*n**3 - 396*n**2 + 294*n + 116.
-2*(n - 1)*(n + 29)*(7*n + 2)
Factor 2*f**4 - 8*f**3 - 38*f**2 - 28*f.
2*f*(f - 7)*(f + 1)*(f + 2)
Solve 2*o**5 + 16*o**4 - 102*o**3 - 52*o**2 + 256*o + 192 = 0.
-12, -1, 2, 4
Factor v**4/3 - 2*v**3/3 - 4*v**2/3 + 8*v/3.
v*(v - 2)**2*(v + 2)/3
Let -2*u**2/5 + 8*u/5 + 312 = 0. Calculate u.
-26, 30
Factor -4*q**2 + 37328*q - 87086224.
-4*(q - 4666)**2
Factor 3*y**2 - 13962*y + 16244787.
3*(y - 2327)**2
Let 2*p**5/3 + 14*p**4/3 + 12*p**3 + 44*p**2/3 + 26*p/3 + 2 = 0. Calculate p.
-3, -1
Find n such that 2*n**2/15 - 152*n/15 - 104/5 = 0.
-2, 78
Let 2*t**5/11 + 136*t**4/11 + 2690*t**3/11 + 13036*t**2/11 + 24056*t/11 + 15376/11 = 0. Calculate t.
-31, -2
Determine r so that -3*r**4 + 15*r**3 + 27*r**2 - 243*r + 324 = 0.
-4, 3
What is b in 2*b**5 + 18*b**4 + 36*b**3 - 8*b**2 - 48*b = 0?
-6, -2, 0, 1
What is z in 3*z**4 + 450*z**3 - 1851*z**2 - 450*z + 1848 = 0?
-154, -1, 1, 4
Factor -361*v**4/7 - 2812*v**3/7 - 5172*v**2/7 + 1184*v/7 - 64/7.
-(v + 4)**2*(19*v - 2)**2/7
Find c such that 5*c**5/3 - 85*c**4/3 + 380*c**3/3 + 20*c**2/3 - 1600*c/3 + 1280/3 = 0.
-2, 1, 2, 8
Factor -2*w**2 - 44*w.
-2*w*(w + 22)
Factor -3*h**4 + 510*h**3 - 507*h**2.
-3*h**2*(h - 169)*(h - 1)
Factor 5*l**3 + 12690*l**2 + 10735740*l + 3027478680.
5*(l + 846)**3
What is s in 27*s**2/2 + 15153*s/2 + 1683 = 0?
-561, -2/9
Factor -6*m**4/11 + 24*m**3/11 - 18*m**2/11.
-6*m**2*(m - 3)*(m - 1)/11
Factor z**3/5 + 46*z**2/5 + 133*z + 2888/5.
(z + 8)*(z + 19)**2/5
Determine l, given that -5*l**2/6 - 3395*l/6 - 3385/3 = 0.
-677, -2
Factor 3*f**2/4 + 8733*f/2 + 25421763/4.
3*(f + 2911)**2/4
Suppose 8*m**3/3 - 514*m**2/3 + 128*m/3 = 0. Calculate m.
0, 1/4, 64
Factor -2*y**2/15 + 26*y/15 - 44/15.
-2*(y - 11)*(y - 2)/15
Factor -g**3/2 - 5*g**2/2 + 3*g.
-g*(g - 1)*(g + 6)/2
Determine h, given that h**4/3 - 2*h**3 + 4*h**2/3 + 8*h - 32/3 = 0.
-2, 2, 4
Solve -45*p**2 + 96*p - 12 = 0.
2/15, 2
Determine k, given that -2*k**3 + 170*k**2 + 1456*k + 2976 = 0.
-4, 93
Suppose -3*c**3/2 - 6*c**2 + 3*c/2 + 6 = 0. Calculate c.
-4, -1, 1
Factor -3*y**2 + 225*y - 852.
-3*(y - 71)*(y - 4)
Factor -2*t**5 - 26*t**4 - 8*t**3 + 1152*t**2 + 5184*t + 6048.
-2*(t - 7)*(t + 2)*(t + 6)**3
Find j such that -5*j**5 - 20*j**4 + 60*j**3 = 0.
-6, 0, 2
Factor 3*p**4 - 45*p**3 + 201*p**2 - 279*p + 120.
3*(p - 8)*(p - 5)*(p - 1)**2
Suppose 2*n**2 - 2720*n + 924800 = 0. Calculate n.
68