 2, 23/5
Factor g**3 + 47*g**2 + 616*g + 1452.
(g + 3)*(g + 22)**2
Let 35*t**5 - 95*t**4 - 30*t**3 + 140*t**2 + 40*t = 0. Calculate t.
-1, -2/7, 0, 2
Solve 3*v**5/7 + 36*v**4/7 = 0.
-12, 0
Factor 4*v**2/9 - 146*v/9 - 76/3.
2*(v - 38)*(2*v + 3)/9
Determine o so that -4*o**4 - 8*o**3 + 16*o**2 + 32*o = 0.
-2, 0, 2
Factor -2*g**4/5 - 4*g**3 - 74*g**2/5 - 24*g - 72/5.
-2*(g + 2)**2*(g + 3)**2/5
Solve 4*q**4/9 + 4*q**3/3 - 76*q**2/9 - 4*q/3 + 8 = 0 for q.
-6, -1, 1, 3
Factor -w**4/3 + 47*w**3/3 - 44*w**2/3 - 92*w/3.
-w*(w - 46)*(w - 2)*(w + 1)/3
Factor d**3 - 4398*d**2 + 6447468*d - 3150662696.
(d - 1466)**3
Solve 7*f**2/4 - 4947*f/4 - 707/2 = 0.
-2/7, 707
Factor 5*o**5 + 140*o**4 + 1220*o**3 + 3360*o**2 + 2880*o.
5*o*(o + 2)**2*(o + 12)**2
Let 2*u**2/17 - 48*u/17 - 864/17 = 0. What is u?
-12, 36
Suppose 3*k**2/5 - 42*k/5 - 57 = 0. What is k?
-5, 19
Factor y**2/2 + 146*y + 10658.
(y + 146)**2/2
Factor -15*x**3 - 5436*x**2 - 18327*x - 6462.
-3*(x + 3)*(x + 359)*(5*x + 2)
Solve 2*u**4/7 + 10*u**3/7 - 12*u**2/7 - 64*u/7 + 64/7 = 0.
-4, 1, 2
Let 2*l**2/7 - 176*l/7 + 3872/7 = 0. Calculate l.
44
Factor -4*n**3 - 52*n**2 + 36*n + 1620.
-4*(n - 5)*(n + 9)**2
Factor -2*s**3 + 110*s**2.
-2*s**2*(s - 55)
Find m, given that m**3/2 + 7*m**2/2 + 5*m = 0.
-5, -2, 0
Find u such that -12*u**5 - 820*u**4 - 4116*u**3 - 5276*u**2 + 1056*u + 3024 = 0.
-63, -3, -2, -1, 2/3
Find i such that 3*i**3 - 39*i**2 + 165*i - 225 = 0.
3, 5
Determine j, given that -2*j**5/7 - 22*j**4/7 + 60*j**3/7 + 328*j**2/7 - 1168*j/7 + 960/7 = 0.
-12, -5, 2
Factor -a**5 + 58*a**4 - 57*a**3.
-a**3*(a - 57)*(a - 1)
Factor 5*g**3 - 15*g**2 - 90*g + 200.
5*(g - 5)*(g - 2)*(g + 4)
Factor -x**5 + 27*x**4 - 75*x**3 + 73*x**2 - 24*x.
-x*(x - 24)*(x - 1)**3
Factor -u**4/4 - 11*u**3/4 - 27*u**2/4 - 25*u/4 - 2.
-(u + 1)**3*(u + 8)/4
Let 2*y**3/5 - 42*y**2/5 + 198*y/5 - 54 = 0. Calculate y.
3, 15
Factor 2*o**3/3 + 14*o**2/3 + 8*o/3 - 8.
2*(o - 1)*(o + 2)*(o + 6)/3
Factor -2*v**2 - 652*v - 53138.
-2*(v + 163)**2
Factor -j**3/3 - 4*j**2 + 51*j - 140/3.
-(j - 7)*(j - 1)*(j + 20)/3
Factor 2*g**4/17 - 28*g**3/17 + 146*g**2/17 - 336*g/17 + 288/17.
2*(g - 4)**2*(g - 3)**2/17
Find b, given that 4*b**3 - 84*b**2 + 480*b - 400 = 0.
1, 10
Find w such that 2*w**4/5 - 2*w**3 - 2*w**2/5 + 2*w = 0.
-1, 0, 1, 5
Find f, given that -f**4 - 4*f**3 - 2*f**2 + 4*f + 3 = 0.
-3, -1, 1
Factor 3*t**3/4 - 9*t**2/4 - 15*t/2 + 18.
3*(t - 4)*(t - 2)*(t + 3)/4
Factor -5*h**2/3 + 175*h/3 + 190.
-5*(h - 38)*(h + 3)/3
Factor 56*t**4 + 212*t**3 + 176*t**2 - 48*t.
4*t*(t + 2)**2*(14*t - 3)
Solve -k**5/9 - k**4 - 5*k**3/3 - 7*k**2/9 = 0.
-7, -1, 0
Factor c**4/8 - 7*c**3/8 + 3*c**2/4 + 4*c - 4.
(c - 4)**2*(c - 1)*(c + 2)/8
Determine b so that -b**4/2 - 5*b**3/2 - 3*b**2 + 2*b + 4 = 0.
-2, 1
Determine k so that 5*k**2 + 27150*k + 36856125 = 0.
-2715
Factor -3*f**4 + 21*f**2 - 18*f.
-3*f*(f - 2)*(f - 1)*(f + 3)
Determine v, given that v**3/3 + 52*v**2/3 + 493*v/3 - 182 = 0.
-39, -14, 1
Factor -x**4 + 7*x**3 + 17*x**2 + 9*x.
-x*(x - 9)*(x + 1)**2
Determine s, given that 2*s**5 + 10*s**4 - 6*s**3 - 82*s**2 - 116*s - 48 = 0.
-4, -2, -1, 3
Factor -3*b**4/5 + 366*b**3/5 - 12531*b**2/5 + 83448*b/5 - 155952/5.
-3*(b - 57)**2*(b - 4)**2/5
Factor 3*y**4 + 40*y**3 - 121*y**2 + 110*y - 32.
(y - 1)**2*(y + 16)*(3*y - 2)
What is t in -t**5/7 - 109*t**4/7 + 561*t**3/7 - 1019*t**2/7 + 796*t/7 - 228/7 = 0?
-114, 1, 2
Suppose d**3/4 - 493*d**2/4 + 15252*d - 15129 = 0. Calculate d.
1, 246
Find y, given that 2*y**2 + 270*y + 532 = 0.
-133, -2
Factor -p**3/5 - 56*p**2/5 - 784*p/5.
-p*(p + 28)**2/5
Factor k**2/2 + 856*k + 366368.
(k + 856)**2/2
Determine x, given that x**4/3 - 11*x**3/3 - 55*x**2 - 293*x/3 - 140/3 = 0.
-7, -1, 20
Find n, given that -n**3/5 - 159*n**2/5 - 8427*n/5 - 148877/5 = 0.
-53
Factor f**3 - 150*f**2 + 1259*f + 1410.
(f - 141)*(f - 10)*(f + 1)
Determine u, given that -2*u**2 + 2564*u + 2566 = 0.
-1, 1283
Factor 5*m**3/4 - 111*m**2/4 + 627*m/4 - 121/4.
(m - 11)**2*(5*m - 1)/4
Solve b**2/4 + 37*b/2 + 70 = 0.
-70, -4
Find o, given that -2*o**4 + 226*o**3 - 666*o**2 + 662*o - 220 = 0.
1, 110
Solve 8*a**3/9 + 50*a**2 + 184*a/3 + 110/9 = 0.
-55, -1, -1/4
Factor b**4/3 - 646*b**3/3 + 34991*b**2 - 208012*b/3 + 103684/3.
(b - 322)**2*(b - 1)**2/3
Suppose -2*j**4 + 12*j**3 - 24*j**2 + 20*j - 6 = 0. What is j?
1, 3
Find q such that -18*q**5/7 + 6*q**4 - 32*q**3/7 + 8*q**2/7 = 0.
0, 2/3, 1
Factor -4*u**2/3 + 676*u/3 + 680/3.
-4*(u - 170)*(u + 1)/3
Let -2*l**4/3 - 46*l**3/3 - 196*l**2/3 - 296*l/3 - 48 = 0. Calculate l.
-18, -2, -1
What is h in 5*h**2 - 185*h = 0?
0, 37
Factor -4*k**3/5 + 88*k**2/5 - 112*k + 160.
-4*(k - 10)**2*(k - 2)/5
Factor 5*f**3 - 25*f**2 - 5*f + 25.
5*(f - 5)*(f - 1)*(f + 1)
Determine u, given that -70*u**4/13 + 508*u**3/13 - 80*u**2/13 - 316*u/13 - 42/13 = 0.
-3/5, -1/7, 1, 7
Find c, given that c**4/4 - 5*c**3 - 147*c**2/4 - 117*c/2 = 0.
-3, 0, 26
Find c, given that 4*c**4 - 188*c**3 + 960*c**2 + 6224*c + 7040 = 0.
-2, 11, 40
Determine i, given that -3*i**2/7 - 30*i/7 - 27/7 = 0.
-9, -1
Factor -15138*w**4/5 + 59856*w**3/5 - 57776*w**2/5 - 2752*w/5 - 32/5.
-2*(w - 2)**2*(87*w + 2)**2/5
Factor -80*w**5 - 236*w**4 - 228*w**3 - 68*w**2 + 4*w.
-4*w*(w + 1)**3*(20*w - 1)
Factor -3*w**3 + 12078*w**2 - 16208676*w + 7250681064.
-3*(w - 1342)**3
Factor -3*j**2/2 - 1764*j - 518616.
-3*(j + 588)**2/2
Let 2*i**3/5 - 106*i**2/5 + 1456*i/5 - 1352/5 = 0. What is i?
1, 26
Factor 3*a**3/7 + 90*a**2/7 + 303*a/7 - 4140/7.
3*(a - 5)*(a + 12)*(a + 23)/7
Factor -3*f**3 + 174*f**2 + 177*f.
-3*f*(f - 59)*(f + 1)
Factor -2*p**3/23 + 1090*p**2/23 - 4336*p/23 + 4328/23.
-2*(p - 541)*(p - 2)**2/23
Solve -3*j**4 + 9*j**3 - 3*j**2 - 9*j + 6 = 0 for j.
-1, 1, 2
Suppose 3*v**4/5 - 12*v**2/5 = 0. What is v?
-2, 0, 2
Find s, given that -s**2/4 - 1563*s/2 - 2442969/4 = 0.
-1563
Factor -u**4/7 + 5*u**3/7 - 8*u**2/7 + 4*u/7.
-u*(u - 2)**2*(u - 1)/7
Factor -3*w**3/4 - 102*w**2 + 417*w/4 + 411/2.
-3*(w - 2)*(w + 1)*(w + 137)/4
Factor -2*s**3/5 + 48*s**2/5 - 286*s/5 + 96.
-2*(s - 16)*(s - 5)*(s - 3)/5
Factor 5*d**3 - 140*d + 240.
5*(d - 4)*(d - 2)*(d + 6)
Determine m, given that -6*m**5 + 4*m**4/3 + 24*m**3 - 16*m**2/3 = 0.
-2, 0, 2/9, 2
Find x such that -3*x**2/8 - 93*x/8 + 105/2 = 0.
-35, 4
Factor -2*o**5/5 - 104*o**4/5 - 576*o**3/5 - 224*o**2 - 736*o/5.
-2*o*(o + 2)**3*(o + 46)/5
Let -5*x**2 + 275*x - 530 = 0. Calculate x.
2, 53
Factor -90*d**2 - 115*d + 130.
-5*(d + 2)*(18*d - 13)
Find d such that -3*d**4 + 6*d**3 - 6*d + 3 = 0.
-1, 1
Factor 3*m**2 + 28932*m + 69755052.
3*(m + 4822)**2
Let -h**4 - 4*h**3 + 42*h**2 - 36*h - 81 = 0. Calculate h.
-9, -1, 3
Suppose q**5 - 16*q**4/3 + 23*q**3/3 + 2*q**2 - 28*q/3 + 8/3 = 0. What is q?
-1, 1/3, 2
Factor -132*z**3 + 128*z**2 + 4*z.
-4*z*(z - 1)*(33*z + 1)
Determine f, given that 16*f**4/13 + 10*f**3/13 - 48*f**2/13 - 62*f/13 - 20/13 = 0.
-1, -5/8, 2
Factor -2*j**3/11 - 18*j**2/11.
-2*j**2*(j + 9)/11
Find t such that -5*t**4 + 40*t**3 + 5*t**2 - 40*t = 0.
-1, 0, 1, 8
Solve -i**5/5 + 38*i**3/5 + 72*i**2/5 + 7*i = 0.
-5, -1, 0, 7
Solve -5*j**3 + 125*j**2 + 140*j - 260 = 0 for j.
-2, 1, 26
Factor -4*r**2 - 6728*r - 2829124.
-4*(r + 841)**2
Solve 7*q**3/3 + 2*q**2/3 - 21*q - 6 = 0 for q.
-3, -2/7, 3
Factor 2*z**3/11 - 16*z**2/11.
2*z**2*(z - 8)/11
Solve -3*a**3/5 - 1296*a**2/5 - 2583*a/5 - 258 = 0.
-430, -1
Determine m so that -5*m**5 + 10*m**4 + 30*m**3 - 100*m**2 + 95*m - 30 = 0.
-3, 1, 2
Find h, given that 6*h**3/5 - 12*h**2/5 - 48*h/5 = 0.
-2, 0, 4
Factor m**4/12 + 125*m**3/6 + 5291*m**2/4 + 7750*m/3 + 3844/3.
(m + 1)**2*(m + 124)**2/12
Solve 21*u**2/2 - 43*u/4 + 1/4 = 0.
1/42, 1
Suppose -12*q**3/7 - 4*q**2/7 + 8*q/7 = 0. Calculate q.
-1, 0, 2/3
Factor h**4/7 + 4*h**3 - 254*h**2/7 - 7452*h/7 + 23805/7.
(h - 15)*(h - 3)*(h + 23)**2/7
Factor -l**2/2 - 3*l - 4.
-(l + 2)*(l + 4)/2
Find m such that 2*m**3/7 - 6*m**2/7 - 36*m/7 + 80/7 = 0.
-4, 2, 5
Find c, given that 5*c**2 + 20*c + 15 = 0.
-3, -1
Find y, given that -y**4/4 + 2*y**3 - 15*y**2/4 = 0.
0, 3, 5
Find q such that -2*q**2/7 + 400*q/7 - 20000/7 = 0.
100
Let -14*u**2 - 52*u + 16 = 0. What is u?
-4, 2/7
Factor -g**2 + 2090*g - 1092025.
-(g - 1045)**2
Determine s, given that -8*s**4/5 - 2*s**3/5 + 32*s**2/5 + 8*s/5 = 0.
-2, -1/4, 0, 2
Factor 15*h**4 - 51*h**3 + 18*h**2.
3