 -1, 0, 1
Find i, given that -5*i**4 + 720*i**3 - 2115*i**2 = 0.
0, 3, 141
Factor -c**2/11 + 2*c/11 + 8/11.
-(c - 4)*(c + 2)/11
Find k such that 2*k**5 + 332*k**4/3 + 13760*k**3/9 - 332*k**2/3 - 13778*k/9 = 0.
-83/3, -1, 0, 1
Suppose -363*i**2/2 - 9*i/2 = 0. Calculate i.
-3/121, 0
Suppose 25*c**4 + 30*c**3 - 47*c**2 - 12*c + 4 = 0. What is c?
-2, -2/5, 1/5, 1
Determine u, given that 2*u**4/13 - 80*u**3/13 + 868*u**2/13 - 1216*u/13 - 2166/13 = 0.
-1, 3, 19
Suppose s**2 + 15*s - 54 = 0. What is s?
-18, 3
Let 4*g**2/5 + 168*g/5 + 64 = 0. What is g?
-40, -2
Factor -3*a**2/2 + 321*a/2 + 162.
-3*(a - 108)*(a + 1)/2
Factor 10*u**4 + 25*u**3 - 30*u**2 - 45*u.
5*u*(u + 1)*(u + 3)*(2*u - 3)
Suppose -17*j**2/4 - 35*j/2 - 2 = 0. What is j?
-4, -2/17
Factor b**4/2 + 9*b**3/4 + 11*b**2/4 - 1.
(b + 1)*(b + 2)**2*(2*b - 1)/4
Find j, given that 8*j**4 + 54*j**3 - 334*j**2 + 432*j - 88 = 0.
-11, 1/4, 2
Suppose -15*o**5 - 27*o**4 + 6*o**3 + 30*o**2 + 9*o - 3 = 0. Calculate o.
-1, 1/5, 1
Factor -5*f**3 - 2105*f**2 + 6360*f.
-5*f*(f - 3)*(f + 424)
Determine v so that -3*v**2 - 12696*v = 0.
-4232, 0
Factor 5*c**4 - 135*c**3 + 120*c**2 + 260*c.
5*c*(c - 26)*(c - 2)*(c + 1)
Factor -2*d**2/11 + 376*d/11 - 34.
-2*(d - 187)*(d - 1)/11
Factor 3*o**4 - 348*o**3 + 1353*o**2 - 1008*o.
3*o*(o - 112)*(o - 3)*(o - 1)
Factor -3*f**5 + 3*f**4 + 96*f**3 - 408*f**2 + 624*f - 336.
-3*(f - 2)**4*(f + 7)
What is f in -2*f**2/3 - 20*f/3 - 6 = 0?
-9, -1
Factor -2*k**2/7 - 22*k/7 - 60/7.
-2*(k + 5)*(k + 6)/7
Factor 2*q**3/3 + 24*q**2 - 878*q/3 + 644.
2*(q - 7)*(q - 3)*(q + 46)/3
Solve -5*v**2/3 + 10*v - 40/3 = 0 for v.
2, 4
Suppose -2318342*a**3 + 28158*a**2 - 114*a + 2/13 = 0. What is a?
1/247
Factor 5*y**5 + 385*y**4 - 5190*y**3 + 13210*y**2 - 12415*y + 4005.
5*(y - 9)*(y - 1)**3*(y + 89)
Factor 44*r**3 - 6*r**2.
2*r**2*(22*r - 3)
Factor 3*o**5 - 48*o**4 + 207*o**3 - 270*o**2.
3*o**2*(o - 10)*(o - 3)**2
Solve w**4/2 - 19*w**3 + 70*w**2 - 68*w = 0.
0, 2, 34
Factor 3*q**2 - 24*q + 45.
3*(q - 5)*(q - 3)
Factor -39*v**3/2 + 36*v**2 - 27*v/2 - 3.
-3*(v - 1)**2*(13*v + 2)/2
Factor 5*o**4 + 225*o**3 + 1695*o**2 + 2575*o - 4500.
5*(o - 1)*(o + 5)**2*(o + 36)
Factor 2*k**3 - 14*k**2 - 8*k + 56.
2*(k - 7)*(k - 2)*(k + 2)
Factor -3*r**4/7 - 201*r**3/7 - 4554*r**2/7 - 36300*r/7 - 31944/7.
-3*(r + 1)*(r + 22)**3/7
Determine c so that -4*c**4/5 - 68*c**3 + 12*c**2/5 + 1028*c/5 + 136 = 0.
-85, -1, 2
Find b such that 15*b**4 + 385*b**3 - 2405*b**2 + 2415*b + 2790 = 0.
-31, -2/3, 3
Determine n, given that -4*n**4/5 - 141*n**3 - 452*n**2 - 381*n - 346/5 = 0.
-173, -2, -1, -1/4
Factor -4*o**3 - 24*o**2 - 20*o.
-4*o*(o + 1)*(o + 5)
Solve -s**4/6 - s**3/3 + 4*s**2 = 0.
-6, 0, 4
Find p, given that 5*p**5/3 + 10*p**4/3 - 65*p**3/3 - 70*p**2/3 + 40*p = 0.
-4, -2, 0, 1, 3
Let -3*y**5/4 + 6*y**4 - 6*y**3 - 39*y**2/2 + 27*y/4 + 27/2 = 0. What is y?
-1, 1, 3, 6
Let z**4/3 - 14*z**3/3 - 136*z**2/3 - 226*z/3 - 35 = 0. Calculate z.
-5, -1, 21
Let 3*x**3 + 936*x**2 - 939*x = 0. Calculate x.
-313, 0, 1
What is o in 4*o**5 - 40*o**4 - 152*o**3 - 64*o**2 + 148*o + 104 = 0?
-2, -1, 1, 13
Factor 11*w**3/7 + 75*w**2/7 - 2*w.
w*(w + 7)*(11*w - 2)/7
Determine j so that 3*j**3/4 + 867*j**2/4 + 62205*j/4 - 63075/4 = 0.
-145, 1
Suppose -o**3/4 - 415*o**2/4 = 0. Calculate o.
-415, 0
Factor 4*m**3/5 - 24*m**2 - 2292*m/5 + 2408/5.
4*(m - 43)*(m - 1)*(m + 14)/5
Factor -2*a**4 + 16*a**3 - 24*a**2.
-2*a**2*(a - 6)*(a - 2)
Factor 4*o**4 + 158*o**3 - 596*o**2 + 258*o.
2*o*(o - 3)*(o + 43)*(2*o - 1)
Determine k, given that -2*k**2/5 + 2020*k - 2550250 = 0.
2525
Find m such that -3*m**5 + 24*m**4 - 45*m**3 = 0.
0, 3, 5
What is x in -3*x**4/4 + 3*x**3/4 + 9*x**2/2 = 0?
-2, 0, 3
Suppose 5*o**4 - 905*o**3 + 49725*o**2 - 485875*o - 19223750 = 0. What is o?
-14, 65
Factor 3*o**2 + o.
o*(3*o + 1)
Factor -3*n**3 + 45*n**2 - 144*n + 132.
-3*(n - 11)*(n - 2)**2
Factor -v**2 - 18*v - 65.
-(v + 5)*(v + 13)
Factor 5*b**3/4 - 25*b**2/4 + 35*b/4 - 15/4.
5*(b - 3)*(b - 1)**2/4
Factor -3*n**3/7 - 36*n**2/7 - 135*n/7 - 162/7.
-3*(n + 3)**2*(n + 6)/7
Factor 2*c**2/5 + 528*c/5 + 34848/5.
2*(c + 132)**2/5
Find k such that 2*k**2/5 - 18*k/5 - 4 = 0.
-1, 10
Factor -4*q**3 - 396*q**2 + 804*q - 404.
-4*(q - 1)**2*(q + 101)
What is m in -77*m**3 - 384*m**2 - 457*m + 6 = 0?
-3, -2, 1/77
Factor 2*u**2 - 140*u + 768.
2*(u - 64)*(u - 6)
Factor 4*c**3/7 + 80*c**2/7 - 5632*c/7 + 53248/7.
4*(c - 16)**2*(c + 52)/7
Factor 16*f**2 - 6740*f + 1684.
4*(f - 421)*(4*f - 1)
Let -w**5/3 - w**4 + 2*w**3/3 + 2*w**2 - w/3 - 1 = 0. Calculate w.
-3, -1, 1
Find l such that 2*l**5/11 - 4*l**4 - 254*l**3/11 - 424*l**2/11 - 216*l/11 = 0.
-2, -1, 0, 27
What is n in 2*n**5/3 - 22*n**4/3 - 26*n**3 - 82*n**2/3 - 28*n/3 = 0?
-1, 0, 14
Let -o**3 + 45*o**2 - 528*o + 484 = 0. What is o?
1, 22
Solve a**2/5 - 3758*a/5 + 3530641/5 = 0 for a.
1879
Factor 4*u**5 - 28*u**4 + 32*u**3 + 64*u**2.
4*u**2*(u - 4)**2*(u + 1)
Factor v**5 - 152*v**4 + 888*v**3 - 1760*v**2 + 1168*v.
v*(v - 146)*(v - 2)**3
Solve 4*j**2/7 - 20*j - 2256/7 = 0 for j.
-12, 47
Factor 2*r**4/9 + 2*r**3/9 - 2*r**2/3 - 10*r/9 - 4/9.
2*(r - 2)*(r + 1)**3/9
Factor -i**4/3 - 139*i**3/3 + 240*i**2.
-i**2*(i - 5)*(i + 144)/3
Solve -2*n**3 + n**2/3 + 8*n - 4/3 = 0.
-2, 1/6, 2
Factor 3*a**4/5 + 72*a**3/5 - 33*a**2 - 234*a/5.
3*a*(a - 3)*(a + 1)*(a + 26)/5
Suppose -c**2/6 + 34*c/3 - 22 = 0. What is c?
2, 66
Factor g**4 + 74*g**3 + 129*g**2 - 1080*g.
g*(g - 3)*(g + 5)*(g + 72)
What is i in -19*i**3 - 99*i**2 - 96*i - 16 = 0?
-4, -1, -4/19
Determine h, given that -3*h**2 + 6*h - 3 = 0.
1
Determine p so that 5*p**2 - 225*p = 0.
0, 45
Solve 2*s**5/19 + 140*s**4/19 + 274*s**3/19 + 136*s**2/19 = 0 for s.
-68, -1, 0
Factor r**2/2 + 17*r/2 + 15.
(r + 2)*(r + 15)/2
Determine l so that -25*l**3 - 485*l**2 - 175*l + 285 = 0.
-19, -1, 3/5
Factor 560*f**3 - 15*f**2/2.
5*f**2*(224*f - 3)/2
Factor -4*t**3 - 1056*t**2 + 13104*t - 39744.
-4*(t - 6)**2*(t + 276)
Suppose 3*v**5/4 + 39*v**4/4 - 207*v**3/4 - 1299*v**2/4 + 1626*v - 1260 = 0. Calculate v.
-15, -7, 1, 4
Factor 2*n**2/13 - 396*n/13 + 19602/13.
2*(n - 99)**2/13
Factor s**2/6 + s/3 + 1/6.
(s + 1)**2/6
Factor -3*k**3/8 - 195*k**2/8 - 24*k.
-3*k*(k + 1)*(k + 64)/8
Find i, given that 4*i**2/5 - 324*i/5 = 0.
0, 81
Factor 3*r**2/7 - 99*r + 690/7.
3*(r - 230)*(r - 1)/7
Factor 3*w**4 - 1761*w**3 + 343980*w**2 - 22242864*w - 22588608.
3*(w - 196)**3*(w + 1)
Factor z**2 - 1072*z + 287296.
(z - 536)**2
Find j, given that j**5 - 39*j**4 - 105*j**3 + 9719*j**2 + 53928*j - 63504 = 0.
-9, 1, 28
Factor 4*k**3/9 - 124*k**2/9 - 4*k/9 + 124/9.
4*(k - 31)*(k - 1)*(k + 1)/9
Suppose -4*k**2/5 + 44*k/5 - 72/5 = 0. What is k?
2, 9
Determine c so that 8*c**2 - 58*c + 102 = 0.
3, 17/4
Determine h so that -2*h**4 + 14*h**3 - 34*h**2 + 34*h - 12 = 0.
1, 2, 3
Determine w, given that 3*w**4 - 273*w**3 + 789*w**2 + 273*w - 792 = 0.
-1, 1, 3, 88
Factor 2*m**5 + 2*m**4 - 10*m**3 + 6*m**2.
2*m**2*(m - 1)**2*(m + 3)
Determine z so that 6*z**4 - 3*z**3 - 1266*z**2 + 1893*z - 630 = 0.
-15, 1/2, 1, 14
Factor -20*v**4 - 48*v**3 - 16*v**2.
-4*v**2*(v + 2)*(5*v + 2)
Factor 4*u**2/7 + 36*u.
4*u*(u + 63)/7
Factor -s**3 - s**2 + 2*s.
-s*(s - 1)*(s + 2)
Determine u, given that u**2 + 19*u + 18 = 0.
-18, -1
Factor 2*u**3 + 16*u**2 - 40*u.
2*u*(u - 2)*(u + 10)
Factor o**3 + 10*o**2 - o - 10.
(o - 1)*(o + 1)*(o + 10)
Find o such that o**5/7 - 3*o**4 + 110*o**3/7 - 38*o**2/7 - 495*o/7 - 325/7 = 0.
-1, 5, 13
Solve -507*m**3 - 13806*m**2 - 95040*m - 194400 = 0.
-18, -60/13
Factor 4*g**3/3 - 60*g**2 + 704*g - 1936/3.
4*(g - 22)**2*(g - 1)/3
Factor -10*a**2/7 + 4*a/7 + 32/7.
-2*(a - 2)*(5*a + 8)/7
Factor n**2/3 - 44*n/3 + 484/3.
(n - 22)**2/3
Solve 2*o**3/13 + 4760*o**2/13 + 9514*o/13 + 4756/13 = 0 for o.
-2378, -1
What is v in -2*v**2/3 - 20*v + 128/3 = 0?
-32, 2
Factor -z**3/5 - 11*z**2/5 + 57*z/5 - 9.
-(z - 3)*(z - 1)*(z + 15)/5
Suppose 48*t**4/5 - 52*t**3/5 + 2*t**2/5 + 2*t/5 = 0. Calculate t.
-1/6, 0, 1/4, 1
Factor -12*z**2 + 141*z - 129.
-3*(z - 1)*(4*z - 43)
Factor -4*y**2 - 360*y - 8100.
-4*(y + 45)**2
Factor -l**3/8 - 7*l**2/8 - 11*l/8 - 5/8.
-(l + 1)**2*(l + 5)/8
What is i in -2*i**2/13 + 66*i + 860/13 = 0?
-1, 430
Factor 2*i**3/5 - 12*i**2/5 - 82*i - 396/5.
2*(i - 18)*(i + 1)*(i + 11)/5
Factor 32*i**2 + 6*i.
2*i*(16*i + 3)
Let 44*f**5/3