 0, 1, 5
Find z such that -2*z**2/3 + 20*z/3 - 32/3 = 0.
2, 8
Let 5*f**2 - 335*f = 0. What is f?
0, 67
Find m such that -2*m**4/3 + 46*m**3/3 - 112*m**2 + 640*m/3 + 1024/3 = 0.
-1, 8
Suppose 4*w**5 - 16*w**4 + 8*w**3 + 16*w**2 - 12*w = 0. Calculate w.
-1, 0, 1, 3
Factor 98*u**2/3 + 2348*u/3 - 32.
2*(u + 24)*(49*u - 2)/3
Suppose -3*t**5/5 - 144*t**4/5 - 459*t**3 - 2430*t**2 = 0. What is t?
-18, -15, 0
Factor j**4/2 - 5*j**3 + 17*j**2/2 - 4*j.
j*(j - 8)*(j - 1)**2/2
Solve 2*m**4 + 4*m**3 - 46*m**2 + 24*m + 72 = 0.
-6, -1, 2, 3
Solve 35*l**3/6 + 7345*l**2/3 + 256550*l - 73500 = 0.
-210, 2/7
Let 4*m**2 + 45800*m + 131102500 = 0. Calculate m.
-5725
Factor 2372*n**4 + 7104*n**3 + 7080*n**2 + 2336*n - 12.
4*(n + 1)**3*(593*n - 3)
Let -4*c**4 + 16*c**3 - 24*c**2 + 16*c - 4 = 0. What is c?
1
Solve 3*q**4/2 + 33*q**3/2 + 54*q**2 + 24*q - 96 = 0 for q.
-4, 1
Determine m so that 3*m**4 + 2916*m**3 + 699786*m**2 - 4277772*m + 6456267 = 0.
-489, 3
Factor 5*p**2 + 140*p.
5*p*(p + 28)
Factor -k**4 + 31*k**3 - 253*k**2 + 165*k + 450.
-(k - 15)**2*(k - 2)*(k + 1)
Factor s**3 - 189*s**2 - 1560*s - 3152.
(s - 197)*(s + 4)**2
Suppose 2*v**4/11 - 16*v**2/11 + 32/11 = 0. What is v?
-2, 2
Let -135*g**5/2 - 153*g**4 - 57*g**3 + 72*g**2 + 81*g/2 - 3 = 0. Calculate g.
-1, 1/15, 2/3
Factor n**2/3 - 440*n + 145200.
(n - 660)**2/3
Factor -l**4/3 - 5*l**3 + 11*l**2 - 17*l/3.
-l*(l - 1)**2*(l + 17)/3
Determine l so that 5*l**2 + 225*l + 2530 = 0.
-23, -22
Solve 126*t**5/5 + 174*t**4/5 - 66*t**3 - 774*t**2/5 - 492*t/5 - 96/5 = 0.
-1, -8/21, 2
Factor -2*z**3 + 100*z**2 - 1426*z + 4232.
-2*(z - 23)**2*(z - 4)
Determine u, given that -2*u**3/11 - 28*u**2/11 + 510*u/11 + 7200/11 = 0.
-15, 16
Factor -l**5 + 8*l**4 - 22*l**3 + 24*l**2 - 9*l.
-l*(l - 3)**2*(l - 1)**2
What is g in 5*g**2 - 135*g = 0?
0, 27
Factor -4*v**3/3 + 2*v**2 + 4*v/3.
-2*v*(v - 2)*(2*v + 1)/3
Let -4*s**2 + 880*s + 1776 = 0. Calculate s.
-2, 222
Factor o**3 + 104*o**2 - 1115*o + 2850.
(o - 5)**2*(o + 114)
Factor -12*h**3 - 436*h**2 + 300*h + 148.
-4*(h - 1)*(h + 37)*(3*h + 1)
Suppose -n**4/7 + n**3 + 73*n**2/7 - 49*n + 264/7 = 0. Calculate n.
-8, 1, 3, 11
Factor -2*a**4/17 + 36*a**3/17 - 168*a**2/17 + 304*a/17 - 192/17.
-2*(a - 12)*(a - 2)**3/17
Determine c, given that -4*c**5 + 144*c**4 + 320*c**3 - 600*c**2 - 316*c + 456 = 0.
-3, -1, 1, 38
Let -170*t**3 + 258*t**2 - 96*t + 8 = 0. What is t?
2/17, 2/5, 1
Factor z**4/3 - 2*z**3 + z**2 + 10*z/3.
z*(z - 5)*(z - 2)*(z + 1)/3
What is j in -14*j**3/5 - 32*j**2/5 - 22*j/5 - 4/5 = 0?
-1, -2/7
Solve -99*s**5/2 - 399*s**4 - 816*s**3 - 48*s**2 = 0 for s.
-4, -2/33, 0
Factor -39605*u**5 + 80990*u**4 - 43185*u**3 + 1820*u**2 - 20*u.
-5*u*(u - 1)**2*(89*u - 2)**2
What is p in -2*p**5/5 - 2*p**4/5 + 2*p**3/5 + 2*p**2/5 = 0?
-1, 0, 1
Suppose 2*j**5/9 - 2*j**4/9 - 20*j**3/9 - 16*j**2/9 = 0. Calculate j.
-2, -1, 0, 4
What is a in -a**5/7 + 2*a**4/7 + 3*a**3/7 - 4*a**2/7 - 4*a/7 = 0?
-1, 0, 2
Solve -w**2 + 266*w - 17689 = 0.
133
Determine v so that 35*v**5 - 130*v**4 - 1020*v**3 + 5320*v**2 - 5120*v - 1920 = 0.
-6, -2/7, 2, 4
Find v such that 25*v**2/4 + 10445*v/2 - 2090 = 0.
-836, 2/5
Factor -p**4/4 + 17*p**3/4 + 5*p**2 - 9*p.
-p*(p - 18)*(p - 1)*(p + 2)/4
Factor m**3/4 + 3*m**2/4.
m**2*(m + 3)/4
Find m, given that 4*m**4 - 444*m**3 - 12*m**2 + 1324*m + 888 = 0.
-1, 2, 111
Suppose -35*v**4 - 1180*v**3 + 340*v**2 = 0. Calculate v.
-34, 0, 2/7
Factor 2*k**3/9 - 38*k**2/9 + 68*k/9.
2*k*(k - 17)*(k - 2)/9
Find i such that -i**2/2 + 1089*i/2 + 545 = 0.
-1, 1090
Factor -5*c**2 - 530*c - 13800.
-5*(c + 46)*(c + 60)
Determine g, given that 4*g**3/3 + 110*g**2/3 + 244*g/3 - 50 = 0.
-25, -3, 1/2
What is t in -2*t**2/3 - 424*t - 67416 = 0?
-318
Factor -y**2/6 + 5*y/2 - 13/3.
-(y - 13)*(y - 2)/6
Determine r so that 3*r**5/5 + 3*r**4/5 - 6*r**3 + 24*r**2/5 = 0.
-4, 0, 1, 2
Factor 4*y**3 + 856*y**2 + 5028*y + 7488.
4*(y + 3)**2*(y + 208)
Factor -4*k**2 - 28*k - 24.
-4*(k + 1)*(k + 6)
Factor 3*v**2/8 + 9*v/4 + 3.
3*(v + 2)*(v + 4)/8
Determine z, given that -z**2 + 73*z - 72 = 0.
1, 72
What is v in -v**5/8 - 15*v**4/8 - 43*v**3/8 + 75*v**2/8 + 11*v/2 - 15/2 = 0?
-10, -6, -1, 1
Factor -4*d**3 + 84*d**2 - 576*d + 1280.
-4*(d - 8)**2*(d - 5)
Factor -2*i**4/11 + 8*i**2/11.
-2*i**2*(i - 2)*(i + 2)/11
Solve -2*o**5/7 + 22*o**4/7 - 46*o**3/7 - 22*o**2/7 + 48*o/7 = 0.
-1, 0, 1, 3, 8
Factor -3*q**3/2 + 11361*q**2/2 - 5375172*q - 5380854.
-3*(q - 1894)**2*(q + 1)/2
Factor -v**2/8 - 931*v/4 - 866761/8.
-(v + 931)**2/8
Factor a**5 + 134*a**4 + 131*a**3 - 266*a**2.
a**2*(a - 1)*(a + 2)*(a + 133)
Factor 3*p**4/4 - 6*p**3 + 18*p**2 - 24*p + 12.
3*(p - 2)**4/4
Factor 2*f**4/11 + 204*f**3/11 - 1272*f**2/11 + 2576*f/11 - 1728/11.
2*(f - 2)**3*(f + 108)/11
Factor 2*n**3/9 - 22*n**2/9 + 16*n/3 + 8.
2*(n - 6)**2*(n + 1)/9
Factor 2*y**3 - 6*y**2 - 8*y + 24.
2*(y - 3)*(y - 2)*(y + 2)
Solve -5*n**3 - 1945*n**2 - 175875*n + 2626065 = 0.
-201, 13
Factor 39*v**2/10 + 11*v/5 + 3/10.
(3*v + 1)*(13*v + 3)/10
Factor 3*z**2/5 + 1029*z/5 - 1032/5.
3*(z - 1)*(z + 344)/5
Suppose -3*l**3/4 + 27*l**2/2 - 123*l/4 - 45 = 0. Calculate l.
-1, 4, 15
Solve 2*l**2/7 - 66*l/7 + 124/7 = 0 for l.
2, 31
Factor k**3/3 - 16*k**2 + 60*k - 176/3.
(k - 44)*(k - 2)**2/3
Find g, given that -4*g**5 + 8*g**4 + 140*g**3 = 0.
-5, 0, 7
Factor i**2/7 + 15*i + 404/7.
(i + 4)*(i + 101)/7
Find h such that -4*h**5/9 + 2*h**4/3 + 62*h**3/9 + 16*h**2/3 - 40*h/9 = 0.
-2, 0, 1/2, 5
Determine n so that -3*n**5 - 12*n**4 + 45*n**3 + 42*n**2 - 84*n - 72 = 0.
-6, -1, 2
Suppose 3*q**5/5 + 78*q**4/5 + 504*q**3/5 - 78*q**2/5 - 507*q/5 = 0. Calculate q.
-13, -1, 0, 1
Let 4*z**5 + 184*z**4 + 980*z**3 + 800*z**2 = 0. Calculate z.
-40, -5, -1, 0
Suppose g**3/5 + 21*g**2/5 - 22*g/5 = 0. What is g?
-22, 0, 1
Factor 3*r**3 - 26433*r**2 + 77633721*r - 76003412859.
3*(r - 2937)**3
What is a in -3*a**5/8 - 21*a**4 - 633*a**3/8 - 57*a**2 + 159*a/2 + 78 = 0?
-52, -2, -1, 1
Solve 3*c**4 + 348*c**3 = 0.
-116, 0
Find q, given that 3*q**4 + 54*q**3 - 345*q**2 = 0.
-23, 0, 5
Solve -2*p**2 - 30*p - 52 = 0.
-13, -2
Determine f, given that f**4/4 - 49*f**3/4 + 162*f**2 - 509*f + 464 = 0.
2, 16, 29
Find q such that 2*q**5/7 - 370*q**4/21 + 3784*q**3/21 - 14648*q**2/21 + 22592*q/21 - 3200/7 = 0.
2/3, 3, 4, 50
Solve 5*f**5 - 840*f**4 - 10*f**3 + 1680*f**2 + 5*f - 840 = 0.
-1, 1, 168
Factor -y**2/9 - 142*y/3 - 425/9.
-(y + 1)*(y + 425)/9
Factor -r**3 + 131*r**2 - 4224*r - 4356.
-(r - 66)**2*(r + 1)
Solve -2*x**2 - 136*x - 2312 = 0.
-34
Find j, given that -j**5 + 11*j**3 + 18*j**2 + 8*j = 0.
-2, -1, 0, 4
Factor l**4/4 + 3*l**3/2 + l**2 - 3*l/2 - 5/4.
(l - 1)*(l + 1)**2*(l + 5)/4
Let -5*x**3 - 1770*x**2 - 154860*x + 316840 = 0. Calculate x.
-178, 2
Factor 4*v**2 + 64*v + 156.
4*(v + 3)*(v + 13)
Solve -3*p**5 + 53*p**4 + 198*p**3 + 246*p**2 + 125*p + 21 = 0 for p.
-1, -1/3, 21
Solve -2*a**4/9 - 68*a**3/3 + 422*a**2/9 + 208*a/3 = 0.
-104, -1, 0, 3
Factor h**5/2 + 7*h**4 - 87*h**3 - 298*h**2 - 619*h/2 - 105.
(h - 10)*(h + 1)**3*(h + 21)/2
Find a, given that a**3 - 23*a**2 - a + 23 = 0.
-1, 1, 23
Factor 2*l**2 - 234*l + 232.
2*(l - 116)*(l - 1)
Suppose -t**3/4 + t**2/4 + t/4 - 1/4 = 0. What is t?
-1, 1
Solve -121*z**3/3 - 22132*z**2/3 + 8084*z - 2208 = 0.
-184, 6/11
Suppose 4*s**3 + 49164*s**2 + 201424908*s + 275079282692 = 0. Calculate s.
-4097
What is c in 6*c**3/13 + 1078*c**2/13 - 2560*c/13 - 168 = 0?
-182, -2/3, 3
Determine i so that -3*i**4/4 + 15*i**3/4 + 51*i**2 + 135*i + 108 = 0.
-3, -2, 12
Find j, given that -j**4/5 - 8*j**3/5 - 13*j**2/5 - 6*j/5 = 0.
-6, -1, 0
What is v in 2*v**5 + 174*v**4 + 674*v**3 + 834*v**2 + 332*v = 0?
-83, -2, -1, 0
Factor 2*u**2/3 - 122*u/3 - 124/3.
2*(u - 62)*(u + 1)/3
Factor -k**3/3 - 4*k**2/3.
-k**2*(k + 4)/3
Factor 3*g**2/2 + 264*g + 11616.
3*(g + 88)**2/2
Suppose 2*q**3 - 2*q**2 - 10*q - 6 = 0. What is q?
-1, 3
Factor -2*c**2/19 + 14*c - 1524/19.
-2*(c - 127)*(c - 6)/19
Factor -2*b**2/3 + 26*b - 148/3.
-2*(b - 37)*(b - 2)/3
What is w in 10*w**5 - 86*w**4 + 34*w**3 + 118*w**2 - 44*w - 32 = 0?
-1, -2/5, 1, 8
Solve -27*w**4 - 2070*w**3 - 41691*w**2 - 77280*w - 37632 = 0 for w.
-112/3, -1
Find d, given that -2*d**3/5 + 4836*d**2/5 - 2928192*d/5 + 5837056/5 = 0.
2, 1208
Let q**3 + 5*q**2 - 28*q - 32 = 0. Calculate q.
-8, -1, 4
Determine s, given that -37446*