 = 0.
-1, 1, 3
Factor l**3 - 89*l**2 + 2379*l - 16731.
(l - 39)**2*(l - 11)
Factor -c**2/3 + 20*c/3 + 44/3.
-(c - 22)*(c + 2)/3
Solve 192*g**5 - 1184*g**4 + 172*g**3 + 124*g**2 - 24*g = 0 for g.
-1/3, 0, 1/4, 6
Let -2*g**3/5 - 238*g**2/5 - 184*g = 0. Calculate g.
-115, -4, 0
Factor 2*b**3 + 52*b**2/7 - 184*b/7 + 48/7.
2*(b - 2)*(b + 6)*(7*b - 2)/7
Determine l so that 3*l**4/7 + 3*l**3/7 - 60*l**2/7 = 0.
-5, 0, 4
Factor -3*x**3/7 + 51*x**2 - 702*x/7.
-3*x*(x - 117)*(x - 2)/7
Solve 4*k**5 - 12*k**4 + 4*k**3 + 12*k**2 - 8*k = 0.
-1, 0, 1, 2
Determine g, given that -4*g**3/7 - 104*g**2/7 + 388*g/7 + 1160/7 = 0.
-29, -2, 5
Determine t so that t**5/3 - 35*t**4/3 + 187*t**3/3 - 389*t**2/3 + 352*t/3 - 116/3 = 0.
1, 2, 29
Solve d**5/3 - 3*d**4 + 7*d**3 - 19*d**2/3 + 2*d = 0 for d.
0, 1, 6
Solve 5*i**5/6 - 20*i**4/3 + 35*i**3/2 - 55*i**2/3 + 20*i/3 = 0.
0, 1, 2, 4
Find f, given that 5*f**5 - 95*f**4 + 575*f**3 - 1205*f**2 + 1040*f - 320 = 0.
1, 8
Factor 4*g**2 + 192*g - 196.
4*(g - 1)*(g + 49)
Find q such that 2*q**3/3 + 4184*q**2/3 - 8374*q/3 + 1396 = 0.
-2094, 1
Solve 12*f**5 - 375*f**4 + 1725*f**3 - 2280*f**2 + 468*f = 0 for f.
0, 1/4, 2, 3, 26
Factor 2*s**2/3 - 50*s/3 + 96.
2*(s - 16)*(s - 9)/3
Determine l so that -3*l**2 - 222*l - 4107 = 0.
-37
Factor -4*q**3 - 4752*q**2 + 4*q + 4752.
-4*(q - 1)*(q + 1)*(q + 1188)
Factor -d**2/2 - 47*d - 2209/2.
-(d + 47)**2/2
Suppose b**5/3 - 11*b**4/3 - 2*b**3 + 58*b**2/3 + 85*b/3 + 11 = 0. What is b?
-1, 3, 11
Solve -4*p**4 - 248*p**3 - 908*p**2 + 1160*p = 0 for p.
-58, -5, 0, 1
Factor -135*h**2 + 552*h - 48.
-3*(h - 4)*(45*h - 4)
Factor 4*a**3 + 732*a**2 - 744*a - 1472.
4*(a - 2)*(a + 1)*(a + 184)
Factor 2*t**4/7 - 4*t**3/7 - 6*t**2/7 + 16*t/7 - 8/7.
2*(t - 2)*(t - 1)**2*(t + 2)/7
Factor -n**3/3 - 53*n**2/3 - 616*n/3 + 784.
-(n - 3)*(n + 28)**2/3
Factor 19*t**3 + 36*t**2 - 61*t + 6.
(t - 1)*(t + 3)*(19*t - 2)
Solve 10*l**5 - 1096*l**4/3 - 174*l**3 + 148*l**2/3 = 0 for l.
-2/3, 0, 1/5, 37
Let 14*j**4/9 + 256*j**3/9 + 520*j**2/9 + 128*j/9 = 0. What is j?
-16, -2, -2/7, 0
Factor -5*f**2 - 255*f - 490.
-5*(f + 2)*(f + 49)
Let 3*h**4/2 - 48*h**3 + 351*h**2/2 - 213*h + 84 = 0. Calculate h.
1, 2, 28
Solve 3*x**3/4 + 171*x**2 - 2799*x/4 - 870 = 0.
-232, -1, 5
Factor -5*f**2 - 40*f + 240.
-5*(f - 4)*(f + 12)
Suppose u**3 + 4*u**2 + 3*u = 0. Calculate u.
-3, -1, 0
Factor 4*p**5 - 24*p**4 + 48*p**3 - 40*p**2 + 12*p.
4*p*(p - 3)*(p - 1)**3
Factor -2*r**2/7 - 5960*r/7 - 4440200/7.
-2*(r + 1490)**2/7
Factor -s**2/3 + 68*s/3 - 1156/3.
-(s - 34)**2/3
Find p, given that -p**2 + 21*p - 38 = 0.
2, 19
Suppose 8*u**4 - 6*u**3 - 50*u**2 - 12*u = 0. What is u?
-2, -1/4, 0, 3
Find h such that -h**2/2 + 39*h + 252 = 0.
-6, 84
Factor -4*h**3 - 65*h**2 + 52*h + 17.
-(h - 1)*(h + 17)*(4*h + 1)
Factor -z**2/11 - 156*z - 66924.
-(z + 858)**2/11
Factor a**4 - 67*a**3 + 1086*a**2 + 1292*a - 2312.
(a - 34)**2*(a - 1)*(a + 2)
Factor -27*f**4/5 + 1989*f**3/5 - 1317*f**2/5 + 219*f/5.
-3*f*(f - 73)*(3*f - 1)**2/5
Let 4*c**5/3 - 4*c**4/3 - 124*c**3/3 + 244*c**2/3 - 40*c = 0. What is c?
-6, 0, 1, 5
Let 2*t**2 + 2*t = 0. What is t?
-1, 0
Suppose -10*u**4/13 - 34*u**3/13 + 88*u**2/13 + 40*u/13 = 0. What is u?
-5, -2/5, 0, 2
Factor 2*q**2 + 988*q.
2*q*(q + 494)
Factor -2*t**3/7 + 178*t**2 - 194686*t/7 + 193442/7.
-2*(t - 311)**2*(t - 1)/7
Suppose -i**2/3 - 8*i + 52/3 = 0. What is i?
-26, 2
Factor 3*s**5/5 - 594*s**4/5 + 28803*s**3/5 + 11880*s**2 + 6000*s.
3*s*(s - 100)**2*(s + 1)**2/5
Factor 3*a**3/4 + 57*a**2/2 - 3*a/4 - 57/2.
3*(a - 1)*(a + 1)*(a + 38)/4
Factor -3*j**2/5 + 714*j/5 - 42483/5.
-3*(j - 119)**2/5
Find h, given that 5*h**5 + 3485*h**4 - 5*h**3 - 3485*h**2 = 0.
-697, -1, 0, 1
Factor 3*z**3 - 270*z**2 + 6075*z.
3*z*(z - 45)**2
Factor -i**3/8 + 147*i**2/2 - 14406*i + 941192.
-(i - 196)**3/8
Find x, given that -4*x**2 - 1296*x - 104976 = 0.
-162
Factor -a**3/3 + 298*a**2/3 + 3055*a/3 + 7700/3.
-(a - 308)*(a + 5)**2/3
Solve -243*l**5/7 + 837*l**4/7 - 1065*l**3/7 + 603*l**2/7 - 144*l/7 + 12/7 = 0 for l.
2/9, 1
Factor 6*j**2/7 + 268*j/7 + 176/7.
2*(j + 44)*(3*j + 2)/7
Factor a**3/2 + 10*a**2 - 187*a/2 - 2023.
(a - 14)*(a + 17)**2/2
Factor -l**4/3 + 61*l**3 - 8093*l**2/3 - 8525*l - 5766.
-(l - 93)**2*(l + 1)*(l + 2)/3
Factor 5*h**2 + 44630*h + 99591845.
5*(h + 4463)**2
Determine p so that 3*p**5 + 18*p**4 + 27*p**3 + 12*p**2 = 0.
-4, -1, 0
Suppose 3*d**4/7 + 39*d**3/7 + 138*d**2/7 + 144*d/7 = 0. What is d?
-8, -3, -2, 0
Factor -5*f**4 - 90*f**3 - 240*f**2 - 230*f - 75.
-5*(f + 1)**3*(f + 15)
Find o such that 3*o**4 + 90*o**3 + 192*o**2 - 7866*o + 7581 = 0.
-19, 1, 7
Factor -38*m**3 - 468*m**2 - 562*m - 132.
-2*(m + 1)*(m + 11)*(19*m + 6)
Factor 5*n**5 - 45*n**4 + 130*n**3 - 90*n**2 - 135*n + 135.
5*(n - 3)**3*(n - 1)*(n + 1)
Factor 15*g**3/4 - 5679*g**2/4 - 1137*g/2.
3*g*(g - 379)*(5*g + 2)/4
Factor -5*k**4 + 120*k**3.
-5*k**3*(k - 24)
Find w, given that 2*w**5/9 - 230*w**4/9 + 10460*w**3/9 - 26100*w**2 + 289170*w - 1264086 = 0.
17, 27
Find f such that -f**5/3 + 4*f**4/3 + 67*f**3/3 + 110*f**2/3 = 0.
-5, -2, 0, 11
Let 2*i**2/11 - 130*i/11 + 2028/11 = 0. Calculate i.
26, 39
Factor -2*u**2/11 + 26*u + 288/11.
-2*(u - 144)*(u + 1)/11
Suppose -1458*u**3/19 + 648*u**2/19 - 90*u/19 + 4/19 = 0. What is u?
1/9, 2/9
Factor 3*o**3/2 - 57*o**2/2 + 120*o + 150.
3*(o - 10)**2*(o + 1)/2
What is r in -3*r**2/5 + 18*r/5 + 21/5 = 0?
-1, 7
Factor -6*m**3 + 902*m**2/5 - 1362*m + 90.
-2*(m - 15)**2*(15*m - 1)/5
What is k in -k**4/4 - 23*k**3/2 - 411*k**2/4 - 463*k/2 - 140 = 0?
-35, -8, -2, -1
Suppose 2*r**4/3 + 44*r**3/3 + 242*r**2/3 = 0. What is r?
-11, 0
Factor 4*j**3/9 - 16*j**2/3 + 20*j - 24.
4*(j - 6)*(j - 3)**2/9
Solve -2674*r**3 - 4*r**2 = 0.
-2/1337, 0
Determine o, given that -3*o**4 + 147*o**3 - 2691*o**2 + 21801*o - 65910 = 0.
10, 13
Factor -2*a**2/5 + 98*a - 480.
-2*(a - 240)*(a - 5)/5
Factor 4*f**3 + 592*f**2 + 27280*f + 369024.
4*(f + 24)*(f + 62)**2
Let -2*v**5/7 - 260*v**4/7 - 8448*v**3/7 + 260*v**2/7 + 8450*v/7 = 0. What is v?
-65, -1, 0, 1
Factor 4*s**3 + 24*s**2 - 508*s + 480.
4*(s - 8)*(s - 1)*(s + 15)
Determine k so that 6287058*k**2/5 + 14184*k/5 + 8/5 = 0.
-2/1773
Find p such that 5*p**2 - 135*p - 290 = 0.
-2, 29
Factor 3*x**3/7 + 15*x**2/7 - 33*x - 189.
3*(x - 9)*(x + 7)**2/7
Factor -3*k**2 - 27*k + 156.
-3*(k - 4)*(k + 13)
Determine o, given that -2*o**3/3 - 28*o**2/3 + 34*o/3 + 20 = 0.
-15, -1, 2
Factor -5*d**4/3 + 10*d**3/3 + 5*d**2.
-5*d**2*(d - 3)*(d + 1)/3
Find t, given that -2*t**2 + 1190*t = 0.
0, 595
Factor -3*p**3 + 90*p**2 - 312*p.
-3*p*(p - 26)*(p - 4)
Factor -4*p**5/3 + 58*p**4/9 - 112*p**3/9 + 12*p**2 - 52*p/9 + 10/9.
-2*(p - 1)**4*(6*p - 5)/9
Find j, given that j**5 + 77*j**4 + 1867*j**3 + 11259*j**2 - 69984*j + 78732 = 0.
-27, 2
What is x in -x**5/7 - 302*x**4/7 - 23689*x**3/7 - 134088*x**2/7 - 197136*x/7 = 0?
-148, -3, 0
Factor 5*f**2 - 1110*f + 61605.
5*(f - 111)**2
Find i such that i**3/2 + 7*i**2/3 - 47*i/6 + 7/3 = 0.
-7, 1/3, 2
Factor -n**4/3 - n**3 + 2*n**2 + 8*n/3.
-n*(n - 2)*(n + 1)*(n + 4)/3
Factor -r**2/4 - 5*r/2 - 4.
-(r + 2)*(r + 8)/4
Determine h so that -615*h**3 - 1212*h**2 - 579*h + 18 = 0.
-1, 6/205
Solve 4*l**3 - 132*l**2 + 1152*l - 1024 = 0 for l.
1, 16
Factor 7*s**2 - 3712*s + 1060.
(s - 530)*(7*s - 2)
Solve 9*z**5/4 - 15*z**4/4 + 3*z**3/4 + 3*z**2/4 = 0 for z.
-1/3, 0, 1
Solve 2*w**2 - 72*w + 70 = 0 for w.
1, 35
Determine p so that p**2/2 - 43*p + 1849/2 = 0.
43
Let 6*n**3/5 - 92*n**2/5 + 246*n/5 - 72/5 = 0. What is n?
1/3, 3, 12
Solve 3*a**3 + 141*a**2 + 525*a + 387 = 0 for a.
-43, -3, -1
Let 2*f**4/3 - 100*f**3/3 - 218*f**2 - 336*f = 0. What is f?
-3, 0, 56
Find w, given that -2*w**3/7 - 12*w**2 + 90*w/7 + 172/7 = 0.
-43, -1, 2
Determine y so that -3*y**5 + 165*y**4 - 318*y**3 - 6*y**2 + 321*y - 159 = 0.
-1, 1, 53
Solve 65*j**4 - 790*j**3 - 2675*j**2 - 1520*j + 300 = 0 for j.
-2, -1, 2/13, 15
Factor -3*u**4/2 - 111*u**3/2 - 1269*u**2/2 - 4617*u/2.
-3*u*(u + 9)**2*(u + 19)/2
Factor 4*k**4 + 155*k**3 - 199*k**2 + 40*k.
k*(k - 1)*(k + 40)*(4*k - 1)
Solve 3*c**4/8 + 3*c**3 + 27*c**2/4 + 6*c + 15/8 = 0.
-5, -1
Let z**3/4 - 11*z**2/4 - z/4 + 11/4 = 0. What is z?
-1, 1, 11
Factor -5*t**2 + 4255*t/4 + 1065/4.
-5*(t - 213)*(4*t + 1)/4
Factor 4*z**5 - 240*z**4 - 1008*z**3 - 1024*z**2.
4*z**2*(z - 64)*(z + 2)**2