 = 0.
-19, -1
Factor 3*u**4 - 1785*u**3 + 354618*u**2 - 23640012*u + 23287176.
3*(u - 198)**3*(u - 1)
Determine q, given that -5*q**2 - 1560*q - 121680 = 0.
-156
Factor 5*w**4 + 455*w**3 + 5915*w**2 - 6375*w.
5*w*(w - 1)*(w + 17)*(w + 75)
Find j such that j**4/2 - 85*j**3/2 + 763*j**2 - 4510*j + 6300 = 0.
2, 10, 63
Factor 29*z**3/6 - 49*z**2/2 + 21*z - 4/3.
(z - 4)*(z - 1)*(29*z - 2)/6
Factor -3*q**5/7 + 33*q**4/7 + 162*q**3/7 + 258*q**2/7 + 177*q/7 + 45/7.
-3*(q - 15)*(q + 1)**4/7
Suppose -3*z**5 - 15*z**4 - 18*z**3 = 0. Calculate z.
-3, -2, 0
Factor 3*u**3 + 87*u**2 - 90*u.
3*u*(u - 1)*(u + 30)
Suppose z**2 - 28*z + 52 = 0. What is z?
2, 26
Factor 2*o**4/5 - 4*o**2/5 + 2/5.
2*(o - 1)**2*(o + 1)**2/5
Solve -u**4 + 2*u**3 + 19*u**2 + 28*u + 12 = 0 for u.
-2, -1, 6
Find n, given that n**2/3 - 71*n/3 + 368 = 0.
23, 48
Factor -c**3 + 37*c**2 + 461*c + 423.
-(c - 47)*(c + 1)*(c + 9)
Factor -6*c**3/5 + 1296*c**2/5 + 522*c + 1308/5.
-6*(c - 218)*(c + 1)**2/5
Determine s so that -1038*s**3/23 - 4156*s**2/23 - 3130*s/23 - 12/23 = 0.
-3, -1, -2/519
Let -18*j**4 + 249*j**3 - 834*j**2 - 231*j + 294 = 0. What is j?
-2/3, 1/2, 7
Solve -5*o**2 + 7495*o = 0.
0, 1499
Factor -4*z**2 + 12*z + 280.
-4*(z - 10)*(z + 7)
Determine x so that -16*x**2/5 + 708*x/5 - 176/5 = 0.
1/4, 44
Factor c**3/6 - 136*c**2/3 + 541*c/6 - 45.
(c - 270)*(c - 1)**2/6
Factor 8*k**4/5 - 664*k**3/5 + 14106*k**2/5 - 13612*k/5 + 3362/5.
2*(k - 41)**2*(2*k - 1)**2/5
Determine w, given that w**5 - 162*w**4 + 8739*w**3 - 156006*w**2 - 78732*w + 1417176 = 0.
-3, 3, 54
Factor -4*o**2 + 124*o.
-4*o*(o - 31)
Determine f, given that -4*f**4 + 8*f**3 - 8*f + 4 = 0.
-1, 1
Solve t**4 - 39*t**3 + 399*t**2 - 361*t = 0.
0, 1, 19
Find v, given that 4*v**5 - 40*v**4 + 128*v**3 - 104*v**2 - 132*v + 144 = 0.
-1, 1, 3, 4
Suppose x**5/4 - x**4/4 - x**3/4 + x**2/4 = 0. What is x?
-1, 0, 1
Factor l**4/5 + 8*l**3/5 - 33*l**2/5 + 4*l/5 + 44/5.
(l - 2)**2*(l + 1)*(l + 11)/5
Let r**3 - 584*r**2/3 + 1165*r/9 - 194/9 = 0. Calculate r.
1/3, 194
Let -q**3 - 9*q**2 + 66*q - 56 = 0. What is q?
-14, 1, 4
Factor 3*l**2/4 - 12.
3*(l - 4)*(l + 4)/4
Factor g**2/3 + 5*g/3 - 8.
(g - 3)*(g + 8)/3
Solve -k**2/5 + 874*k/5 - 190969/5 = 0.
437
Let -3*o**5/5 + 36*o**4/5 - 18*o**3 + 84*o**2/5 - 27*o/5 = 0. What is o?
0, 1, 9
Solve 4*v**4/3 - 12*v**3 + 24*v**2 + 16*v/3 - 32 = 0 for v.
-1, 2, 6
Factor -3*i**2 - 135*i.
-3*i*(i + 45)
Factor -4*o**4/5 - 296*o**3/5 - 3796*o**2/5 + 12432*o - 35280.
-4*(o - 5)**2*(o + 42)**2/5
Let 4*s**5 + 8*s**4 - 12*s**3 - 16*s**2 + 16*s = 0. Calculate s.
-2, 0, 1
Factor 2*h**4/3 + 67*h**3/6 + 101*h**2/2 + 88*h/3 - 32/3.
(h + 1)*(h + 8)**2*(4*h - 1)/6
Determine b so that -2*b**2/13 - 200*b/13 + 408/13 = 0.
-102, 2
What is d in -5*d**4 - 155*d**3 - 150*d**2 = 0?
-30, -1, 0
Solve -36*k**5 + 132*k**4 + 260*k**3 - 52*k**2 - 224*k - 80 = 0.
-1, -2/3, 1, 5
Find u such that -u**4/3 - 16*u**3/3 - 10*u**2 + 112*u/3 - 65/3 = 0.
-13, -5, 1
Factor 3*a**4 + 84*a**3 - 87*a**2.
3*a**2*(a - 1)*(a + 29)
Factor -2*s**5 - 26*s**4 - 120*s**3 - 224*s**2 - 128*s.
-2*s*(s + 1)*(s + 4)**3
Determine i so that -5*i**5 + 75*i**4 - 235*i**3 - 395*i**2 + 240*i + 320 = 0.
-1, 1, 8
Factor -2*t**2/9 + 8*t/9 + 10.
-2*(t - 9)*(t + 5)/9
Determine d so that 2*d**3/5 + 48*d**2/5 + 234*d/5 + 324/5 = 0.
-18, -3
Find q such that -q**3 + 6*q**2 - 12*q + 8 = 0.
2
What is y in y**5 - 3*y**4 - 34*y**3 + 38*y**2 + 33*y - 35 = 0?
-5, -1, 1, 7
What is h in -h**5/6 + 4*h**4/3 - 5*h**3/6 - 19*h**2/3 - 4*h = 0?
-1, 0, 4, 6
Factor -2*r**3/3 - 64*r**2/3 - 122*r/3 - 20.
-2*(r + 1)**2*(r + 30)/3
Factor -c**3/4 - 9*c**2/4 - 15*c/4 - 7/4.
-(c + 1)**2*(c + 7)/4
Suppose 2*k**2 + 188*k = 0. Calculate k.
-94, 0
Determine n, given that -n**2 - 226*n - 12769 = 0.
-113
Factor -j**2 + 122*j - 3721.
-(j - 61)**2
Factor 9*l**4 + 15*l**3 - 69*l**2 + 57*l - 12.
3*(l - 1)**2*(l + 4)*(3*l - 1)
Suppose -23*l**4/10 + 13*l**3 - 41*l**2/2 + 5*l + 24/5 = 0. What is l?
-8/23, 1, 2, 3
What is k in k**5 + 11*k**4 + 15*k**3 - 27*k**2 = 0?
-9, -3, 0, 1
What is r in r**5/5 - 32*r**4/5 + 221*r**3/5 + 578*r**2/5 = 0?
-2, 0, 17
Find p such that 3*p**2 - 306*p - 309 = 0.
-1, 103
Let -5*m**4 + 35*m**3 - 80*m**2 + 60*m = 0. What is m?
0, 2, 3
What is w in -w**4 - 21*w**3 - 147*w**2 - 343*w = 0?
-7, 0
Factor 5*i**2/4 - 5*i/4 - 15/2.
5*(i - 3)*(i + 2)/4
Solve -40*p**4 - 870*p**3 + 225*p**2 + 110*p = 0 for p.
-22, -1/4, 0, 1/2
Factor -2*n**5 - 8*n**4 - 10*n**3 - 4*n**2.
-2*n**2*(n + 1)**2*(n + 2)
Let 3*g**4/7 - 11472*g**3/7 + 10955754*g**2/7 + 21945936*g/7 + 10978707/7 = 0. Calculate g.
-1, 1913
Factor -5*w**2 - 50*w + 1680.
-5*(w - 14)*(w + 24)
Factor 2*p**4/13 - 376*p**3/13 + 26508*p**2/13 - 830584*p/13 + 9759362/13.
2*(p - 47)**4/13
Find y, given that -2*y**3/3 - 14*y**2/3 - 10*y - 6 = 0.
-3, -1
Let -5*v**4 - 15*v**3 + 20*v = 0. Calculate v.
-2, 0, 1
Let 5*u**2 + 18720*u + 17521920 = 0. What is u?
-1872
Suppose 4*n**5 + 12*n**4/5 - 28*n**3/5 - 12*n**2/5 + 8*n/5 = 0. What is n?
-1, 0, 2/5, 1
Let 6*p**4/7 + 40*p**3/7 - 116*p**2/7 + 88*p/7 - 18/7 = 0. What is p?
-9, 1/3, 1
Let -4*s**2 - 228*s - 648 = 0. What is s?
-54, -3
Factor -2*s**3/5 - 6*s**2/5 + 308*s/5 + 624/5.
-2*(s - 12)*(s + 2)*(s + 13)/5
Let 3*r**3/8 - 69*r**2/8 - 177*r/2 - 279/2 = 0. What is r?
-6, -2, 31
Let -15*i**3 + 140*i**2 - 35*i - 90 = 0. What is i?
-2/3, 1, 9
Suppose 2*f**2 - 2 = 0. Calculate f.
-1, 1
What is u in 4*u**5 - 16*u**4 + 16*u**3 + 8*u**2 - 20*u + 8 = 0?
-1, 1, 2
Factor -162*t**3/11 + 3006*t**2/11 + 1360*t/11 + 152/11.
-2*(t - 19)*(9*t + 2)**2/11
Factor v**4/6 + 19*v**3/3 - v**2/2 - 58*v/3 - 38/3.
(v - 2)*(v + 1)**2*(v + 38)/6
Suppose 2*k**5/5 + 12*k**4 + 536*k**3/5 + 1488*k**2/5 + 256*k = 0. Calculate k.
-16, -10, -2, 0
Factor -2*t**4/9 + 196*t**3/9 - 4994*t**2/9 + 3136*t/3 - 512.
-2*(t - 48)**2*(t - 1)**2/9
Let -5*u**5/2 - 45*u**4 - 165*u**3/2 - 40*u**2 = 0. Calculate u.
-16, -1, 0
Suppose -10*w**4/9 - 14*w**3/3 - 22*w**2/3 - 46*w/9 - 4/3 = 0. What is w?
-6/5, -1
What is g in -g**3 + 108*g + 432 = 0?
-6, 12
Suppose -2*u**2/11 - 2*u - 36/11 = 0. What is u?
-9, -2
Factor -2*n**3/5 - 16*n**2 - 558*n/5.
-2*n*(n + 9)*(n + 31)/5
Factor 3*f**3/8 + 119*f**2/8 + 145*f - 50.
(f + 20)**2*(3*f - 1)/8
Suppose 4*u**3 - 1736*u**2 - 3484*u - 1744 = 0. Calculate u.
-1, 436
Factor 35*d**2 + 65*d - 10.
5*(d + 2)*(7*d - 1)
Factor 2*o**5 - 32*o**4 + 198*o**3 - 584*o**2 + 800*o - 384.
2*(o - 4)**3*(o - 3)*(o - 1)
Let -g**4 + 19*g**3 + 4*g**2 - 76*g = 0. What is g?
-2, 0, 2, 19
Suppose -3*l**2 - 630*l = 0. Calculate l.
-210, 0
Factor 2*z**4 + 14*z**3 - 166*z**2 + 402*z - 252.
2*(z - 3)**2*(z - 1)*(z + 14)
Let 5*z**5 - 255*z**4 + 1120*z**3 + 1380*z**2 = 0. Calculate z.
-1, 0, 6, 46
What is d in 2*d**5/15 + 2*d**4/15 - 16*d**3/15 - 16*d**2/15 + 32*d/15 + 32/15 = 0?
-2, -1, 2
Let 17*l**3/8 - l**2/2 = 0. Calculate l.
0, 4/17
Find o such that -5*o**2/6 + 275*o - 45375/2 = 0.
165
Determine o, given that 4*o**2 + 4200*o - 4204 = 0.
-1051, 1
Determine n so that -5*n**3 - 230*n**2 - 955*n + 2870 = 0.
-41, -7, 2
Find q, given that -3*q**5 + 21*q**3 + 6*q**2 - 36*q - 24 = 0.
-2, -1, 2
Factor -3*g**2/5 + 147*g/5 + 306/5.
-3*(g - 51)*(g + 2)/5
Factor 5*r**4 - 415*r**3 + 8400*r**2 + 8820*r.
5*r*(r - 42)**2*(r + 1)
Factor -2*w**2/21 - 2*w/21 + 8/7.
-2*(w - 3)*(w + 4)/21
Factor 4*h**3 + 460*h**2 + 908*h + 452.
4*(h + 1)**2*(h + 113)
Factor 2*i**3/5 + 22*i**2/5 - 304*i/5.
2*i*(i - 8)*(i + 19)/5
Factor -3*j**2/5 - 132*j/5 + 6351/5.
-3*(j - 29)*(j + 73)/5
Find m, given that -m**2 + 190*m - 9025 = 0.
95
Suppose -2*i**2/9 + 2*i/3 - 4/9 = 0. What is i?
1, 2
Suppose -2*a**2 - 214*a - 212 = 0. Calculate a.
-106, -1
Factor 4*w**4 + 45*w**3 + 51*w**2 + 10*w.
w*(w + 1)*(w + 10)*(4*w + 1)
Determine g so that 5*g**5 - 65*g**4 - 625*g**3 - 1455*g**2 - 900*g = 0.
-3, -1, 0, 20
Factor 3*f**3 + 42*f**2 - 3*f - 42.
3*(f - 1)*(f + 1)*(f + 14)
Factor 2*b**4/7 + 32*b**3/7 - 10*b**2 + 36*b/7.
2*b*(b - 1)**2*(b + 18)/7
Factor -4*f**5/9 + 112*f**4/9 - 208*f**3/9.
-4*f**3*(f - 26)*(f - 2)/9
Factor -4*p**2/3 + 184*p/3 + 660.
-4*(p - 55)*(p + 9)/3
Factor -3*n**3/7 + 186*n**2/7 - 867*n/7 + 684/7.
-3*(n - 57)*(n - 4)*(n - 1)/7
Factor -861*v**2/2 - 864*v - 6.
-3*(v + 2)*(287*v + 2)/2
Solve -u**2/5 - 339*u/5 + 68 = 0 for u.
-340, 1
Determine w so that -w**2 - 47*w + 708 = 0.
-5