4, -1, 4
Factor 2*x**4 - 90*x**3 + 252*x**2 + 8*x - 336.
2*(x - 42)*(x - 2)**2*(x + 1)
Let a**2 - a - 42 = 0. Calculate a.
-6, 7
Factor 4*d**4 + 12*d**3 - 180*d**2 - 700*d.
4*d*(d - 7)*(d + 5)**2
Solve 2*u**4/3 - 2*u**3 - 4*u**2/3 + 8*u - 16/3 = 0 for u.
-2, 1, 2
Factor -4*j**2 + 2640*j - 2636.
-4*(j - 659)*(j - 1)
Factor -2*c**4/9 + 8*c**3/9 + 38*c**2/9 + 28*c/9.
-2*c*(c - 7)*(c + 1)*(c + 2)/9
Find o, given that 2*o**3/7 - 382*o**2/7 + 2522*o + 56454/7 = 0.
-3, 97
Factor 3*j**3 - 21*j**2 + 18*j.
3*j*(j - 6)*(j - 1)
Factor -8*j**2 - 196*j - 96.
-4*(j + 24)*(2*j + 1)
Suppose -5*o**3 - 60*o**2 - 105*o - 50 = 0. Calculate o.
-10, -1
Solve 2*w**2/7 + 492*w/7 + 30258/7 = 0 for w.
-123
Factor -g**2 - g + 2.
-(g - 1)*(g + 2)
Find a, given that -9*a**5 + 33*a**4 + 39*a**3 - 81*a**2 - 102*a - 24 = 0.
-1, -1/3, 2, 4
Find r such that 4*r**2/7 + 4*r/7 - 960/7 = 0.
-16, 15
Factor -j**3/7 - j**2.
-j**2*(j + 7)/7
Factor -15*m**4 - 65*m**3 - 10*m**2 + 40*m.
-5*m*(m + 1)*(m + 4)*(3*m - 2)
Factor 2*y**3 - 56*y**2 - 120*y.
2*y*(y - 30)*(y + 2)
Let 5*p**2/2 - 25*p - 55/2 = 0. What is p?
-1, 11
Factor i**4/2 + i**3 - 2*i**2 - i + 3/2.
(i - 1)**2*(i + 1)*(i + 3)/2
Let 3*c**4 - 75*c**3 - 243*c**2 - 249*c - 84 = 0. What is c?
-1, 28
Factor -3*j**5 - 624*j**4 - 43464*j**3 - 1027134*j**2 - 899829*j + 1971054.
-3*(j - 1)*(j + 2)*(j + 69)**3
Factor -2*i**2/9 + 16*i/3 - 46/9.
-2*(i - 23)*(i - 1)/9
Solve -4*b**5 + 72*b**4 + 744*b**3 + 2192*b**2 + 2460*b + 936 = 0.
-3, -1, 26
Factor 3*b**3/4 - 147*b**2 - 597*b/4 + 591/2.
3*(b - 197)*(b - 1)*(b + 2)/4
What is o in -2*o**3/9 - 38*o**2/3 - 74*o/3 - 110/9 = 0?
-55, -1
Factor 2*g**2/9 - 832*g/9 + 86528/9.
2*(g - 208)**2/9
Determine g so that g**3 - 17*g**2 - 165*g + 2925 = 0.
-13, 15
Solve -12*c**4 + 256*c**3 - 552*c**2 + 384*c - 76 = 0 for c.
1/3, 1, 19
Determine o so that 46*o**2/3 - 418*o/3 + 12 = 0.
2/23, 9
Factor -5*v**5 + 645*v**4 + 650*v**3.
-5*v**3*(v - 130)*(v + 1)
Factor -m**3 + 87*m**2 - 2091*m + 8405.
-(m - 41)**2*(m - 5)
Find s such that -5*s**3 + 75*s**2 + 1430*s = 0.
-11, 0, 26
Find s, given that s**3/6 + 7*s**2/6 - 10*s = 0.
-12, 0, 5
Factor -p**2/4 - 13*p/2 + 68.
-(p - 8)*(p + 34)/4
Factor d**2 - 615*d + 614.
(d - 614)*(d - 1)
Factor -2*v**4/9 - 4*v**3/9 + 2*v**2/3.
-2*v**2*(v - 1)*(v + 3)/9
Suppose -64*h**4/3 - 1120*h**3/3 - 548*h**2/3 - 68*h/3 = 0. Calculate h.
-17, -1/4, 0
Determine u so that -27*u**2 + 114*u - 24 = 0.
2/9, 4
Determine x, given that -x**4/8 + 13*x**2/8 - 3*x/2 = 0.
-4, 0, 1, 3
Determine y, given that y**5 - 2*y**4 - 2*y**3 + 4*y**2 + y - 2 = 0.
-1, 1, 2
Solve -i**2/8 - 113*i/4 - 225/8 = 0 for i.
-225, -1
Determine j, given that j**3/5 - 104*j**2/5 - j/5 + 104/5 = 0.
-1, 1, 104
Factor -4*f**5 - 68*f**4 - 372*f**3 - 748*f**2 - 632*f - 192.
-4*(f + 1)**3*(f + 6)*(f + 8)
Let 25*s**5/6 - 340*s**4/3 + 724*s**3 + 1904*s**2/3 + 392*s/3 = 0. What is s?
-2/5, 0, 14
Factor -16*x**2/3 + 44*x - 140/3.
-4*(x - 7)*(4*x - 5)/3
What is q in q**5/3 - 5*q**4/3 - q**3 + 41*q**2/3 - 58*q/3 + 8 = 0?
-3, 1, 2, 4
Suppose 25*u**3/3 + 1720*u**2/3 + 1364*u/3 + 272/3 = 0. Calculate u.
-68, -2/5
Determine z so that 10*z**4/7 + 174*z**3/7 + 858*z**2/7 + 946*z/7 + 36 = 0.
-9, -7, -1, -2/5
Factor 2*d**3/5 + 46*d**2/5 - 164*d/5 - 208/5.
2*(d - 4)*(d + 1)*(d + 26)/5
Find r such that 13*r**2/2 - 786*r - 121/2 = 0.
-1/13, 121
Let -5*j**4 + 90*j**3 - 480*j**2 + 800*j = 0. What is j?
0, 4, 10
What is l in l**5 - 6*l**4 - 8*l**3 + 6*l**2 + 7*l = 0?
-1, 0, 1, 7
Solve -2*l**4 - 6*l**3 + 18*l**2 + 54*l = 0 for l.
-3, 0, 3
Solve -n**5/5 - 3*n**4 - 10*n**3 = 0.
-10, -5, 0
Determine g so that -5*g**3 + 175*g**2 + 410*g - 1480 = 0.
-4, 2, 37
Solve -5*r**2 + 30*r - 45 = 0 for r.
3
Factor -4*t**2/3 - 37952*t/3 - 90022144/3.
-4*(t + 4744)**2/3
Suppose -128*g**5 - 784*g**4/5 + 1456*g**3/5 + 1924*g**2/5 - 36*g/5 - 72 = 0. What is g?
-3/2, -1, -5/8, 2/5, 3/2
What is v in 405*v**4 + 4680*v**3 + 12440*v**2 - 6240*v + 720 = 0?
-6, 2/9
Find g, given that -4*g**5 - 84*g**4 - 412*g**3 + 84*g**2 + 416*g = 0.
-13, -8, -1, 0, 1
Factor -i**2/6 + 205*i/6.
-i*(i - 205)/6
Let -u**5/4 - 35*u**4/4 - 33*u**3/2 = 0. Calculate u.
-33, -2, 0
Factor -21*j**5/4 + 19*j**4/4 + j**3/2.
-j**3*(j - 1)*(21*j + 2)/4
Factor 2*k**3/9 + 670*k**2/9 - 1358*k/3 + 682.
2*(k - 3)**2*(k + 341)/9
Factor -2*k**2/5 - 13*k/5 - 6/5.
-(k + 6)*(2*k + 1)/5
Solve -5*n**4 + 25*n**3 - 5*n**2 - 105*n + 90 = 0 for n.
-2, 1, 3
Determine c so that -6*c**4/7 + 184*c**3/21 - 40*c**2/21 = 0.
0, 2/9, 10
Factor 2*h**4/3 + 4*h**3 - 10*h**2 + 16*h/3.
2*h*(h - 1)**2*(h + 8)/3
Solve -9*u**3/5 + 204*u**2/5 - 63*u = 0 for u.
0, 5/3, 21
Let 3*r**4 + 11*r**3 + 6*r**2 - 12*r - 8 = 0. Calculate r.
-2, -2/3, 1
Let -21*k**5 - 45*k**4 + 63*k**3 + 93*k**2 - 90*k = 0. Calculate k.
-15/7, -2, 0, 1
Suppose z**2/4 - 51*z/2 - 103/4 = 0. What is z?
-1, 103
Find j such that -135*j**4 + 11205*j**3 - 297990*j**2 + 2181820*j + 9540840 = 0.
-3, 86/3
Solve 5*r**5 - 95*r**4 + 495*r**3 - 405*r**2 = 0.
0, 1, 9
Suppose -2*a**5/13 - 6*a**4/13 + 6*a**3/13 + 22*a**2/13 + 12*a/13 = 0. Calculate a.
-3, -1, 0, 2
Let -5*o**2 + 390*o + 395 = 0. What is o?
-1, 79
Factor -3*l**5/2 - 11*l**4/2 - 7*l**3 - 3*l**2 + l/2 + 1/2.
-(l + 1)**4*(3*l - 1)/2
Find t, given that 4*t**4 + 108*t**3 + 104*t**2 = 0.
-26, -1, 0
Let -2*c**4 - 16*c**3 - 14*c**2 = 0. What is c?
-7, -1, 0
Factor -3*v**2/5 + 138*v/5 + 141/5.
-3*(v - 47)*(v + 1)/5
Factor -4*p**5/3 - 40*p**4/3 - 160*p**3/3 - 320*p**2/3 - 320*p/3 - 128/3.
-4*(p + 2)**5/3
Factor 2*x**3 - 24*x**2 + 18*x + 324.
2*(x - 9)*(x - 6)*(x + 3)
Suppose 111*r**5/7 + 15*r**4 - 117*r**3/7 - 15*r**2 + 6*r/7 = 0. Calculate r.
-1, 0, 2/37, 1
Factor 5*s**3 - 260*s**2 + 245*s + 510.
5*(s - 51)*(s - 2)*(s + 1)
Factor -z**3/2 + 594*z**2 - 235224*z + 31049568.
-(z - 396)**3/2
Factor 4*k**3 + 36*k**2 - 192*k + 208.
4*(k - 2)**2*(k + 13)
Let -5*y**5 - 25*y**4 + 25*y**3 + 225*y**2 + 180*y = 0. Calculate y.
-4, -3, -1, 0, 3
Determine c so that 2*c**2/19 + 102*c/19 - 560/19 = 0.
-56, 5
Factor -2*j**4/13 + 58*j**3/13 + 192*j**2/13.
-2*j**2*(j - 32)*(j + 3)/13
Let -2*z**3 + 20*z**2 = 0. Calculate z.
0, 10
Let b**3/8 + b**2/2 - 11*b/8 + 3/4 = 0. Calculate b.
-6, 1
Suppose -3*d**3/2 + 660*d**2 - 1317*d/2 = 0. Calculate d.
0, 1, 439
Factor -3*d**2 - 555*d - 1638.
-3*(d + 3)*(d + 182)
Determine o so that -o**3 - 56*o**2 - 335*o + 392 = 0.
-49, -8, 1
Factor 4*g**2/3 - 160*g/3 + 52.
4*(g - 39)*(g - 1)/3
Let 2*s**2/3 - 13*s/3 + 20/3 = 0. What is s?
5/2, 4
Solve k**5/7 - 8*k**4 + 95*k**3 + 3302*k**2/7 + 4380*k/7 + 1800/7 = 0 for k.
-2, -1, 30
Factor -4*k**5 - 28*k**4 - 40*k**3 + 8*k**2 + 44*k + 20.
-4*(k - 1)*(k + 1)**3*(k + 5)
Suppose -4*r**5 - 98*r**4 - 2489*r**3/4 - 985*r**2/4 + 246*r - 36 = 0. Calculate r.
-12, -1, 1/4
Solve -t**2/4 - 455*t/2 - 207025/4 = 0.
-455
Factor -4*u**3/5 + 12*u**2/5 + 64*u/5 - 192/5.
-4*(u - 4)*(u - 3)*(u + 4)/5
Determine r, given that 12*r**3 - 183*r**2 - 147*r + 48 = 0.
-1, 1/4, 16
What is v in -4*v**5 + 8*v**4 - 8*v**2 + 4*v = 0?
-1, 0, 1
Factor x**4/4 - 31*x**3 - 1307*x**2/4 - 2193*x/2 - 1206.
(x - 134)*(x + 3)**2*(x + 4)/4
Factor b**5/4 + 251*b**4/4 - 63*b**3.
b**3*(b - 1)*(b + 252)/4
Determine l, given that -261*l**2 + 267*l - 6 = 0.
2/87, 1
Suppose 30*c**5 + 35*c**4 + 5*c**3 = 0. What is c?
-1, -1/6, 0
Find t, given that 4*t**3/7 - 16*t**2/7 - 4*t + 40/7 = 0.
-2, 1, 5
Suppose a**4/6 - 10*a**3/3 - 24*a**2 - 152*a/3 - 104/3 = 0. Calculate a.
-2, 26
Factor -2*k**3 + 8*k**2 + 24*k.
-2*k*(k - 6)*(k + 2)
Suppose 9*w**5 + 66*w**4 - 24*w**3 - 1014*w**2 - 1953*w - 540 = 0. What is w?
-5, -3, -1/3, 4
Factor 3*b**4 - 123*b**3 + 1425*b**2 - 3249*b.
3*b*(b - 19)**2*(b - 3)
Solve -2*t**2 + 276*t - 9522 = 0 for t.
69
Factor -243*d**3 + 623187*d**2 + 277008*d + 30780.
-3*(d - 2565)*(9*d + 2)**2
Factor 2*m**2/3 - 1980*m.
2*m*(m - 2970)/3
Factor -4*c**3/3 + 96*c**2 - 284*c/3.
-4*c*(c - 71)*(c - 1)/3
What is n in -8*n**5/3 - 26*n**4 + 28*n**3/3 + 26*n**2 - 20*n/3 = 0?
-10, -1, 0, 1/4, 1
Let 2*h**5/9 + 22*h**4/3 + 574*h**3/9 + 446*h**2/9 - 64*h - 512/9 = 0. Calculate h.
-16, -1, 1
Factor 2*q**4/3 + 20*q**3/3 + 34*q**2/3 + 16*q/3.
2*q*(q + 1)**2*(q + 8)/3
Find v such that 2*v**3/5 - 34*v**2/5 - 32*v - 168/5 = 0.
-2, 21
Find l, given that 14*l**4/9 - 220*l**3/9 - 64*l**2/9 = 0.
-2/7, 0, 16
Factor -h**2/2 - 11*h/2 -