-z**3/10 - 31*z**2/5 - 391*z/10 - 33 = 0.
-55, -6, -1
Factor 4*z**5 - 736*z**4 - 4512*z**3 - 9080*z**2 - 7588*z - 2280.
4*(z - 190)*(z + 1)**3*(z + 3)
Suppose -5*c**2 - 275*c - 530 = 0. Calculate c.
-53, -2
Let -2*s**2/3 + 164*s/3 - 304 = 0. Calculate s.
6, 76
Factor -15*u**3 - 175*u**2 - 240*u + 100.
-5*(u + 2)*(u + 10)*(3*u - 1)
Factor 27*k**3/2 + 108*k**2 + 288*k + 256.
(3*k + 8)**3/2
Let 4563*v**3 + 8736*v**2 - 3012*v + 240 = 0. What is v?
-20/9, 2/13
Let 2*j**3/7 + 3900*j**2/7 + 2535000*j/7 + 549250000/7 = 0. Calculate j.
-650
Let -2*r**3 + 4*r**2 + 48*r = 0. What is r?
-4, 0, 6
Determine h, given that 112*h**5/5 + 232*h**4/5 + 131*h**3/5 - h**2/5 - 12*h/5 = 0.
-1, -3/4, -4/7, 0, 1/4
Factor 28*u**3 + 240*u**2 + 548*u + 240.
4*(u + 3)*(u + 5)*(7*u + 4)
Factor -4*f**4 + 1040*f**3 + 6336*f**2 + 12736*f + 8512.
-4*(f - 266)*(f + 2)**3
Solve t**5 - 16*t**4 + 99*t**3 - 296*t**2 + 428*t - 240 = 0 for t.
2, 3, 4, 5
Find j, given that 47*j**3/3 + 93*j**2 + 135*j - 9 = 0.
-3, 3/47
Find o such that 3*o**2 - 1776*o + 262848 = 0.
296
Find s, given that 3*s**3 + 813*s**2 + 58557*s + 463347 = 0.
-131, -9
What is n in n**3 + 6*n**2 + 9*n = 0?
-3, 0
Factor 44*z**2/3 + 2*z/15.
2*z*(110*z + 1)/15
Find i such that i**5/4 - 181*i**4/4 + 6165*i**3/2 - 188325*i**2/2 + 4465125*i/4 - 4100625/4 = 0.
1, 45
Factor -2*s**3/3 - 394*s**2/3 + 400*s/3 + 264.
-2*(s - 2)*(s + 1)*(s + 198)/3
Let -2*z**4 + 1131*z**3/2 + 3707*z**2/2 + 1572*z + 286 = 0. What is z?
-2, -1, -1/4, 286
Solve 2*v**2/3 - 4982*v/3 + 9956/3 = 0 for v.
2, 2489
Let -43*v**2/5 + 81*v/5 + 2 = 0. What is v?
-5/43, 2
Suppose -4*f**4 + 440*f**3 - 12096*f**2 - 440*f + 12100 = 0. Calculate f.
-1, 1, 55
Find k, given that -4*k**2/5 + 108*k/5 = 0.
0, 27
Suppose 3*w**2/4 + 429*w/2 + 61347/4 = 0. What is w?
-143
Factor 8*n**5 - 172*n**4 - 88*n**3.
4*n**3*(n - 22)*(2*n + 1)
Suppose s**4 - 13*s**3 + 29*s**2 + 13*s - 30 = 0. What is s?
-1, 1, 3, 10
Factor 2*w**5/5 - 156*w**4/5 + 1692*w**3/5 - 7344*w**2/5 + 14418*w/5 - 10692/5.
2*(w - 66)*(w - 3)**4/5
Find a such that 10*a**5 + 24*a**4 - 2*a**3 - 24*a**2 - 8*a = 0.
-2, -1, -2/5, 0, 1
Solve 10*o**2 + 95*o + 45 = 0 for o.
-9, -1/2
What is a in 15*a**5/2 - 42*a**4 - 171*a**3/2 + 78*a**2 + 42*a = 0?
-2, -2/5, 0, 1, 7
Find q such that -q**3/3 - 8*q**2/3 + 4*q/3 + 32/3 = 0.
-8, -2, 2
Suppose 2*q**2/9 - 700*q/9 = 0. Calculate q.
0, 350
Factor 5*g**2 - 485*g - 4770.
5*(g - 106)*(g + 9)
Suppose -s**4 + 60*s**3 = 0. Calculate s.
0, 60
Suppose -l**3 + 4*l**2 = 0. Calculate l.
0, 4
Suppose -3*l**5 + 3*l**4 + 111*l**3 + 105*l**2 = 0. Calculate l.
-5, -1, 0, 7
Factor 5*h**2 + 235*h + 230.
5*(h + 1)*(h + 46)
Factor -2*f**4/15 - 46*f**3/15 - 86*f**2/15 - 14*f/5.
-2*f*(f + 1)**2*(f + 21)/15
Suppose l**4/3 + 5*l**3/3 - 26*l**2/3 - 64*l - 96 = 0. Calculate l.
-4, -3, 6
Factor -1456*p**2 - 2908*p + 8.
-4*(p + 2)*(364*p - 1)
Find p such that p**5/3 - 8*p**4/3 + 5*p**3/3 + 14*p**2/3 = 0.
-1, 0, 2, 7
Determine q, given that -5*q**4 + 5*q**3 + 35*q**2 - 5*q - 30 = 0.
-2, -1, 1, 3
Find i, given that 504*i**5 - 942*i**4 - 171*i**3 + 72*i**2 + 12*i = 0.
-1/4, -1/6, 0, 2/7, 2
Solve 4*l**4 + 36*l**3 + 36*l**2 - 164*l - 168 = 0.
-7, -3, -1, 2
Factor 3*h**4 + 57*h**3 + 291*h**2 + 135*h - 486.
3*(h - 1)*(h + 2)*(h + 9)**2
Solve 3*z**3 + 1305*z**2 + 141264*z - 142572 = 0 for z.
-218, 1
Solve 2*a**3 - 90*a**2 - 1508*a = 0 for a.
-13, 0, 58
Factor -3*g**2/4 + 6*g - 12.
-3*(g - 4)**2/4
Factor -j**3/3 - 5*j**2/3 + 2*j.
-j*(j - 1)*(j + 6)/3
Factor 2*n**4/13 - 952*n**3/13 + 169932*n**2/13 - 13481272*n/13 + 401067842/13.
2*(n - 119)**4/13
Solve -4*w**3/5 + 21*w**2/5 - 2*w/5 - 3 = 0.
-3/4, 1, 5
Factor -93*c**2/2 + 90*c + 6.
-3*(c - 2)*(31*c + 2)/2
Solve 3*i**3 - 4*i**2 - 11*i/3 - 2/3 = 0 for i.
-1/3, 2
Determine m, given that -3*m**3 - 300*m**2 - 1164*m - 1152 = 0.
-96, -2
Factor -y**2 - 4566*y - 5212089.
-(y + 2283)**2
Factor l**2/8 - 13*l/8 - 105/2.
(l - 28)*(l + 15)/8
Let 25*p**2 - 7990*p - 3200 = 0. What is p?
-2/5, 320
Solve -q**5 - 33*q**4 - 314*q**3 - 642*q**2 + 315*q + 675 = 0 for q.
-15, -3, -1, 1
Factor -x**3/5 - 24*x**2/5 - 36*x - 432/5.
-(x + 6)**2*(x + 12)/5
Solve 575*f**4 - 1445*f**3 - 1050*f**2 + 3140*f + 280 = 0.
-7/5, -2/23, 2
Find a such that -a**2 - 91*a/4 + 23/4 = 0.
-23, 1/4
Find u, given that 3*u**5/7 - 9*u**3/7 - 6*u**2/7 = 0.
-1, 0, 2
Factor 2916*c**4 - 45684*c**3 + 29592*c**2 - 6512*c + 480.
4*(c - 15)*(9*c - 2)**3
Factor 4*q**3 - 4*q**2 - 4*q + 4.
4*(q - 1)**2*(q + 1)
Factor -3*y**3/7 + 12*y**2/7 + 9*y/7 - 54/7.
-3*(y - 3)**2*(y + 2)/7
Suppose 3*j**2/4 - 219*j/4 = 0. What is j?
0, 73
Factor -y**2 + 5930*y - 8791225.
-(y - 2965)**2
Let -10*g**3 + 405*g**2 + 2050*g - 1125 = 0. What is g?
-5, 1/2, 45
Factor n**3/6 - n/2 - 1/3.
(n - 2)*(n + 1)**2/6
Let -l**3/5 + 4*l**2/5 + 7*l/5 - 2 = 0. Calculate l.
-2, 1, 5
Factor 2*s**2/3 - 34*s/3 + 40.
2*(s - 12)*(s - 5)/3
Factor 5*b**5 - 55*b**4 + 180*b**3 - 160*b**2 - 160*b + 240.
5*(b - 6)*(b - 2)**3*(b + 1)
Solve b**4/3 + 349*b**3/3 - 350*b**2/3 = 0 for b.
-350, 0, 1
Let 50*b**2 - 85*b = 0. What is b?
0, 17/10
Factor 3*r**3/2 + 12*r**2 + 45*r/2.
3*r*(r + 3)*(r + 5)/2
Factor m**3/3 + 9*m**2 + 56*m + 304/3.
(m + 4)**2*(m + 19)/3
Factor 2*m**2 + 118*m/5 - 24/5.
2*(m + 12)*(5*m - 1)/5
Find u, given that 2*u**4 - 2*u**3 - 18*u**2 + 18*u = 0.
-3, 0, 1, 3
Let -2*m**2 - 154*m + 1360 = 0. Calculate m.
-85, 8
Solve 2*b**5/3 - 34*b**4/3 + 68*b**3 - 512*b**2/3 + 448*b/3 = 0 for b.
0, 2, 4, 7
Factor r**4/6 - 40*r**3/3 - r**2/6 + 40*r/3.
r*(r - 80)*(r - 1)*(r + 1)/6
Factor -4*m**2 + 472*m - 13924.
-4*(m - 59)**2
Factor -3*d**2 + 30*d - 72.
-3*(d - 6)*(d - 4)
Factor -y**2/2 + 135*y/2 + 137.
-(y - 137)*(y + 2)/2
Solve -r**5 - 23*r**4/3 + 67*r**3/3 - 11*r**2 - 28*r/3 + 20/3 = 0 for r.
-10, -2/3, 1
Find d, given that 136*d**2 + 1620*d - 144 = 0.
-12, 3/34
Factor 2*p**2/9 + 34*p/3 - 212/9.
2*(p - 2)*(p + 53)/9
Factor -10*f**3/7 - f**2/7 + 10*f/7 + 1/7.
-(f - 1)*(f + 1)*(10*f + 1)/7
Find l such that 5*l**5 + 65*l**4 - 150*l**3 = 0.
-15, 0, 2
Let -1134*g**4 - 72*g**3 - 8*g**2/7 = 0. What is g?
-2/63, 0
Factor 1176960944*l**3/5 - 4213464*l**2/5 + 5028*l/5 - 2/5.
2*(838*l - 1)**3/5
Let -2*c**3/7 - 4*c**2/7 + 30*c/7 + 72/7 = 0. Calculate c.
-3, 4
What is p in 2*p**2 + 5180*p + 3354050 = 0?
-1295
Factor -3*z**3 + 228*z**2 - 1047*z - 1278.
-3*(z - 71)*(z - 6)*(z + 1)
Factor -v**3/4 + 9*v**2/4 + 273*v/4 + 1127/4.
-(v - 23)*(v + 7)**2/4
Determine w, given that -5*w**2 + 160*w = 0.
0, 32
Solve 3*w**5 + 6*w**4 - 27*w**3 - 6*w**2 + 24*w = 0.
-4, -1, 0, 1, 2
Determine g so that g**5/7 - 2572*g**4/7 + 2205918*g**3/7 - 631626140*g**2/7 + 629422793*g/7 = 0.
0, 1, 857
Find x such that -x**2 + 242*x - 14641 = 0.
121
Find f such that -3*f**2/4 - 15*f - 75 = 0.
-10
Factor 4*v**3 - 8*v**2 - 4*v + 8.
4*(v - 2)*(v - 1)*(v + 1)
Suppose -q**5 + 10*q**4 + q**3 - 10*q**2 = 0. What is q?
-1, 0, 1, 10
Factor -s**5/5 + 3*s**4/5 - 2*s**3/5.
-s**3*(s - 2)*(s - 1)/5
What is o in -2*o**3/15 + 214*o**2/15 - 1166*o/3 + 5618/15 = 0?
1, 53
Suppose -15*z**5 + 70*z**4 + 340*z**3 + 450*z**2 + 235*z + 40 = 0. What is z?
-1, -1/3, 8
Factor 4*k**4 - 217*k**3 + 474*k**2 - 313*k + 52.
(k - 52)*(k - 1)**2*(4*k - 1)
Let -c**5/3 - 161*c**4/3 - 8419*c**3/3 - 130735*c**2/3 + 629200*c/3 - 665500/3 = 0. Calculate c.
-55, 2
Factor -4*k**3 - 404*k**2 + 408*k.
-4*k*(k - 1)*(k + 102)
Suppose -p**2/2 + 2329*p - 5424241/2 = 0. Calculate p.
2329
Factor -h**2/3 + 17*h/3 - 52/3.
-(h - 13)*(h - 4)/3
Find x such that -12*x**5 - 20*x**4 + 64*x**3 + 48*x**2 = 0.
-3, -2/3, 0, 2
Factor q**2/6 - 149*q/3 - 299/6.
(q - 299)*(q + 1)/6
Factor -i**3/3 + 2*i**2 + 21*i + 36.
-(i - 12)*(i + 3)**2/3
Solve 3*j**3 - 384*j**2 - 393*j + 774 = 0.
-2, 1, 129
Factor 2*a**2 - 400*a - 2472.
2*(a - 206)*(a + 6)
Factor -4*r**3 + 128*r**2 - 668*r - 800.
-4*(r - 25)*(r - 8)*(r + 1)
Let -2*g**3/5 - 316*g**2/5 + 1968*g/5 = 0. Calculate g.
-164, 0, 6
Factor 2*a**3/13 - 34*a**2/13 + 150*a/13 - 198/13.
2*(a - 11)*(a - 3)**2/13
Let 2*b**2/5 - 122*b/5 + 24 = 0. What is b?
1, 60
Find t such that 75*t**3 - 1065*t**2 - 888*t - 180 = 0.
-2/5, 15
Let -3*a**4/2 - 609*a**3/2 - 40365*a**2/2 - 814131*a/2 + 1971054 = 0. Calculate a.
-69, 4
Find h such that 5*h**2 + 1770*h + 3520 = 0.
-352, -2
Factor 2044*o**2 + 668*o + 24.
4*(7*o + 2)*(73*o + 3)
Find l, given that 