12*z**3 - 80*z**2 + 50*z = 0.
-5, 0, 1
Suppose 20*s**3 + 84*s**2 + 76*s + 12 = 0. What is s?
-3, -1, -1/5
Factor 5*r**4 - 575*r**3 - 1770*r**2.
5*r**2*(r - 118)*(r + 3)
Factor -o**3 - 9*o**2/4 + 15*o/2 + 2.
-(o - 2)*(o + 4)*(4*o + 1)/4
Determine i, given that -i**3/4 + 19*i**2/4 - 49*i/2 + 20 = 0.
1, 8, 10
Factor -63*b**3 - 165*b**2 - 54*b + 48.
-3*(b + 1)*(b + 2)*(21*b - 8)
Factor -v**5 + 2*v**4.
-v**4*(v - 2)
Find m such that 28*m**5 - 1392*m**4 + 2316*m**3 - 568*m**2 - 384*m = 0.
-2/7, 0, 1, 48
Solve -3*m**2 + 3153*m - 6294 = 0 for m.
2, 1049
Let 3*z**4/8 - 3*z**3/2 - 45*z**2/8 + 27*z/4 = 0. What is z?
-3, 0, 1, 6
Factor 5*z**4 + 40*z**3 + 65*z**2 + 30*z.
5*z*(z + 1)**2*(z + 6)
What is t in 5*t**2 + 85*t + 260 = 0?
-13, -4
What is m in 5*m**5/6 - 17*m**4/3 - 11*m**3/3 + 46*m**2/3 + 89*m/6 + 7/3 = 0?
-1, -1/5, 2, 7
Factor -q**3/3 + 28*q**2/3 - 128*q/3 - 1024/3.
-(q - 16)**2*(q + 4)/3
Find y such that -y**2 + 217*y + 1110 = 0.
-5, 222
Determine y so that 3*y**3/8 + 51*y**2/8 - 15*y/2 - 27/2 = 0.
-18, -1, 2
Solve 75*z**5 - 195*z**4 - 87*z**3 + 291*z**2 + 120*z + 12 = 0.
-1, -1/5, 2
Determine a, given that -2*a**4/7 + 26*a**3/7 + 30*a**2/7 - 26*a/7 - 4 = 0.
-1, 1, 14
Suppose g**3 + 24*g**2 + 44*g = 0. Calculate g.
-22, -2, 0
Factor 5*v**5 - 3*v**4 - 12*v**3 - 4*v**2.
v**2*(v - 2)*(v + 1)*(5*v + 2)
Solve 6*c**3 + 9*c**2 - 33*c - 18 = 0.
-3, -1/2, 2
Let -8*q**4/5 - 394*q**3/5 - 1538*q**2/5 - 72*q = 0. Calculate q.
-45, -4, -1/4, 0
Suppose -3*n**4 + 11*n**3 - n**2 - 19*n + 12 = 0. What is n?
-4/3, 1, 3
Determine j, given that -44*j**4 - 228*j**3 - 172*j**2 + 372*j + 72 = 0.
-3, -2/11, 1
Determine x so that 5*x**3 + 910*x**2 - 1835*x + 920 = 0.
-184, 1
Factor -2*c**2/3 + 74*c + 224/3.
-2*(c - 112)*(c + 1)/3
Find c, given that 3*c**2 - 459*c - 462 = 0.
-1, 154
Factor v**5 - v**4 - 41*v**3 + v**2 + 440*v + 400.
(v - 5)**2*(v + 1)*(v + 4)**2
Factor d**2 + d - 12.
(d - 3)*(d + 4)
Determine f so that -3*f**2 + 24*f + 27 = 0.
-1, 9
Factor u**3/8 + u**2/2 - 2*u - 8.
(u - 4)*(u + 4)**2/8
Let 7*p**3 - 482*p**2 + 8500*p - 6936 = 0. What is p?
6/7, 34
Factor 8*x**3/7 - 6*x**2 + 58*x/7 - 12/7.
2*(x - 3)*(x - 2)*(4*x - 1)/7
Find v, given that -32*v**3/11 + 912*v**2/11 - 450*v/11 + 56/11 = 0.
1/4, 28
Find q, given that -q**4 + 38*q**3 - 225*q**2 + 232*q + 496 = 0.
-1, 4, 31
Find f, given that -2*f**4/3 - 118*f**3/3 + 14*f**2/3 + 838*f/3 + 236 = 0.
-59, -2, -1, 3
Factor 2*x**4/9 - 32*x**3/9 + 46*x**2/3 + 28*x/9 - 784/9.
2*(x - 7)**2*(x - 4)*(x + 2)/9
Solve -2*p**5/5 - 22*p**4/5 - 78*p**3/5 - 122*p**2/5 - 88*p/5 - 24/5 = 0.
-6, -2, -1
Factor -4*j**3 - 60*j**2.
-4*j**2*(j + 15)
Suppose 5*f**3 - 78*f**2 + 163*f + 78 = 0. Calculate f.
-2/5, 3, 13
Find b, given that -2*b**5/11 + 20*b**4/11 + 366*b**3/11 + 664*b**2/11 + 320*b/11 = 0.
-8, -1, 0, 20
Factor -j**3/9 + 14*j**2/9 + 37*j/3 + 20.
-(j - 20)*(j + 3)**2/9
Determine f so that -4*f**5 + 92*f**4 - 60*f**3 - 668*f**2 + 1168*f - 528 = 0.
-3, 1, 2, 22
Factor -2*f**2 - 6352*f.
-2*f*(f + 3176)
Factor t**4/2 - 19*t**3/2 + 38*t**2 - 42*t.
t*(t - 14)*(t - 3)*(t - 2)/2
Factor k**5 - 13*k**4 + 57*k**3 - 99*k**2 + 54*k.
k*(k - 6)*(k - 3)**2*(k - 1)
Factor -u**3 - 87*u**2 + 90*u + 176.
-(u - 2)*(u + 1)*(u + 88)
Factor -3*d**4 + 27*d**3 + 186*d**2 + 324*d + 168.
-3*(d - 14)*(d + 1)*(d + 2)**2
Find o, given that -3*o**2/4 + 63*o - 249/4 = 0.
1, 83
Suppose 13*m**3 - 101*m**2 - 24*m = 0. Calculate m.
-3/13, 0, 8
Factor 2*p**2/9 - 10*p/9 - 28/9.
2*(p - 7)*(p + 2)/9
Factor -q**5/10 + q**4/10 + q**3/5.
-q**3*(q - 2)*(q + 1)/10
What is y in -2*y**3/19 - 32*y**2/19 - 128*y/19 = 0?
-8, 0
Find r such that 4*r**2 + 32*r + 28 = 0.
-7, -1
Suppose n**3/11 - 3107*n**2/11 - 6217*n/11 - 3109/11 = 0. What is n?
-1, 3109
Factor 2*m**2/7 - 118*m/7 - 72.
2*(m - 63)*(m + 4)/7
Factor -3*h**5 - 1320*h**4 - 5250*h**3 - 7860*h**2 - 5235*h - 1308.
-3*(h + 1)**4*(h + 436)
Factor -25*y**4 + 405*y**3 - 64*y**2 - 252*y - 64.
-(y - 16)*(y - 1)*(5*y + 2)**2
What is m in 2*m**2/3 + 26*m/3 - 32 = 0?
-16, 3
Factor 2*q**2/7 + 2*q - 520/7.
2*(q - 13)*(q + 20)/7
Factor -3*h**3 - 1149*h**2 - 1146*h.
-3*h*(h + 1)*(h + 382)
Determine n, given that -3*n**3/7 - 9*n**2/7 + 282*n/7 - 72 = 0.
-12, 2, 7
Suppose -343*n**3 - 196*n**2 + 21*n + 18 = 0. What is n?
-3/7, 2/7
Suppose -2*b**4 + 1158*b**3 - 169348*b**2 + 499968*b - 331776 = 0. Calculate b.
1, 2, 288
Let 25*f**5 + 135*f**4 - 550*f**3 - 140*f**2 + 840*f + 320 = 0. Calculate f.
-8, -1, -2/5, 2
Solve 5*m**2 - 80*m - 2805 = 0 for m.
-17, 33
Determine n so that 210*n**2 + 4419*n + 189 = 0.
-21, -3/70
Factor 2*m**2 + 10*m + 8.
2*(m + 1)*(m + 4)
Let -4*v**4 - 288*v**3 - 1352*v**2 - 768*v + 2412 = 0. What is v?
-67, -3, 1
Determine z so that 2*z**3/3 - 16*z**2/3 - 56*z/3 + 160/3 = 0.
-4, 2, 10
Factor -k**4 + 12*k**3 - 30*k**2 + 28*k - 9.
-(k - 9)*(k - 1)**3
Factor -2*m**2 + 2568*m - 2566.
-2*(m - 1283)*(m - 1)
Factor -v**3/5 - 106*v**2/5 - 408*v/5.
-v*(v + 4)*(v + 102)/5
Solve -2*v**5/9 + 6*v**4 + 118*v**3/9 - 6*v**2 - 116*v/9 = 0.
-2, -1, 0, 1, 29
Let 3*n**3 - 1155*n**2 + 2301*n - 1149 = 0. What is n?
1, 383
Let -1772*a**2 + 1796*a - 24 = 0. Calculate a.
6/443, 1
Suppose 20*k**4 + 1208*k**3 + 8020*k**2 + 9376*k + 2544 = 0. What is k?
-53, -6, -1, -2/5
Let 196*w**3 + 3640*w**2 + 2032*w + 288 = 0. What is w?
-18, -2/7
Factor -3*g**2/4 + 12*g + 675/4.
-3*(g - 25)*(g + 9)/4
Solve -9*s**3/5 + 11*s**2/5 + 52*s/5 - 12/5 = 0.
-2, 2/9, 3
Let -u**2/6 - 28*u/3 = 0. Calculate u.
-56, 0
Solve -2*a**5 + 170*a**4 - 4742*a**3 + 41742*a**2 + 46656*a = 0 for a.
-1, 0, 27, 32
Factor -3*x**3 + 18*x**2 - 27*x.
-3*x*(x - 3)**2
Let -n**2/4 - 13*n/2 = 0. What is n?
-26, 0
Solve -2*t**5 + 42*t**4 = 0.
0, 21
What is m in 6*m**5/13 - 40*m**4/13 - 32*m**3/13 + 108*m**2/13 + 122*m/13 + 28/13 = 0?
-1, -1/3, 2, 7
Suppose 4*a**2 - 3692*a = 0. Calculate a.
0, 923
Factor 3*u**5 - 21*u**4 + 57*u**3 - 75*u**2 + 48*u - 12.
3*(u - 2)**2*(u - 1)**3
Factor 2*z**5 + 32*z**4 + 148*z**3 + 112*z**2 - 294*z.
2*z*(z - 1)*(z + 3)*(z + 7)**2
Suppose -2*t**2/17 - 4616*t/17 - 2663432/17 = 0. What is t?
-1154
Solve 4*q**2 - 1640*q - 6624 = 0.
-4, 414
Solve -24*f**2 - 861*f + 108 = 0 for f.
-36, 1/8
Let 18*j**3/5 - 256*j**2/5 - 2104*j/5 + 96 = 0. Calculate j.
-6, 2/9, 20
Suppose -m**2/4 - 37*m/4 - 161/2 = 0. Calculate m.
-23, -14
What is d in 2*d**2 - 368*d - 1504 = 0?
-4, 188
Let -5*t**2 + 130*t - 600 = 0. What is t?
6, 20
Solve 4*w**5/5 + 11*w**4/5 + w**3 - 2*w**2/5 = 0.
-2, -1, 0, 1/4
Let -2*i**5/9 + 218*i**4/9 - 1660*i**3/9 + 4492*i**2/9 - 1622*i/3 + 202 = 0. What is i?
1, 3, 101
Solve 3*f**2/5 + 1593*f/5 - 1596/5 = 0 for f.
-532, 1
Find q, given that -1080*q**5 - 620*q**4 + 230*q**3 + 155*q**2 + 10*q = 0.
-1/2, -2/27, 0, 1/2
Determine o so that -5*o**4/2 + 170*o**3 - 655*o**2/2 - 170*o + 330 = 0.
-1, 1, 2, 66
Factor r**4 + 82*r**3.
r**3*(r + 82)
Factor -a**3/2 + 9*a**2/2 + 24*a + 26.
-(a - 13)*(a + 2)**2/2
Suppose 3*g**4 - 75*g**3 - 264*g**2 + 336*g = 0. What is g?
-4, 0, 1, 28
Solve -2*s**3/21 - 106*s**2/21 - 208*s/3 - 1352/21 = 0.
-26, -1
Factor h**5/3 - 7*h**4/3 + 4*h**3 + 4*h**2/3 - 16*h/3.
h*(h - 4)*(h - 2)**2*(h + 1)/3
Factor -3*x**2 + 291*x + 294.
-3*(x - 98)*(x + 1)
Determine l so that -2*l**5/3 + 10*l**4 - 8*l**3/3 - 280*l**2 - 800*l/3 = 0.
-4, -1, 0, 10
Suppose -4*r**5/3 + 20*r**4/3 - 12*r**3 + 28*r**2/3 - 8*r/3 = 0. What is r?
0, 1, 2
Factor -3*p**4 - 300*p**3 - 7497*p**2 + 300*p + 7500.
-3*(p - 1)*(p + 1)*(p + 50)**2
Determine k, given that k**4/4 - 25*k**3/4 - k**2 + 25*k = 0.
-2, 0, 2, 25
Let 28*d**2 + 204*d + 56 = 0. Calculate d.
-7, -2/7
Factor -i**3/5 - 342*i**2/5 + 276*i - 1384/5.
-(i - 2)**2*(i + 346)/5
Suppose 51*z**3 + 45*z**2 - 312*z + 36 = 0. What is z?
-3, 2/17, 2
Factor -7*p**4 - 44*p**3 - 47*p**2 - 10*p.
-p*(p + 1)*(p + 5)*(7*p + 2)
Factor 4*h**5 + 16*h**4 + 16*h**3 - 8*h**2 - 20*h - 8.
4*(h - 1)*(h + 1)**3*(h + 2)
What is q in 24*q**2 + 4*q - 104 = 0?
-13/6, 2
Factor 4*h**5 + 12*h**4 + 4*h**3 - 12*h**2 - 8*h.
4*h*(h - 1)*(h + 1)**2*(h + 2)
Suppose -3*z**2/4 + 267*z/4 - 66 = 0. What is z?
1, 88
Solve 16*t**4 - 332*t**3 - 468*t**2 + 608*t + 176 = 0.
-2, -1/4, 1, 22
Determine h so that 3*h**3/4 - 42*h**2 + 2295*h/4 - 4617/2 = 0.
9, 38
Factor -4*x**2 - 2728*x - 465124.
-4*(x + 341)**2
Suppose -2*k**4/13 + 282*k**3/13 + 66*k**2 + 862*k/13 + 288/