 3*f**3 + 36*f**2 - 129*f + 90 = 0?
-15, 1, 2
Determine b so that b**3/9 + 25*b**2/9 + 22*b/3 = 0.
-22, -3, 0
Find i such that -5*i**3 + 110*i**2 + 115*i = 0.
-1, 0, 23
Factor h**3 + 14*h**2 - 111*h + 180.
(h - 3)**2*(h + 20)
Factor t**2 + 437*t/5 + 174/5.
(t + 87)*(5*t + 2)/5
Solve 3*u**2 + 10650*u + 9451875 = 0 for u.
-1775
Suppose 3*m**2 - 63*m + 60 = 0. Calculate m.
1, 20
Factor 40*q**4/3 - 260*q**3/3 + 215*q**2/2 - 75*q/2.
5*q*(q - 5)*(4*q - 3)**2/6
Factor 2*f**3/9 - 26*f**2/9 + 32*f/3 - 8.
2*(f - 6)**2*(f - 1)/9
Let -2*f**3/11 - 116*f**2/11 - 1792*f/11 - 3136/11 = 0. What is f?
-28, -2
Factor 3*a**5 - 222*a**4 + 5700*a**3 - 61128*a**2 + 290304*a - 508032.
3*(a - 28)**2*(a - 6)**3
Solve -l**2/3 - 5*l + 34/3 = 0.
-17, 2
Factor -3*f**2/7 + 2769*f/7 - 2766/7.
-3*(f - 922)*(f - 1)/7
Factor 2*s**3/9 - 34*s**2/9 + 62*s/9 - 10/3.
2*(s - 15)*(s - 1)**2/9
Factor -3*p**3 - 54*p**2 + 57*p.
-3*p*(p - 1)*(p + 19)
Factor -2*u**2 - 506*u + 508.
-2*(u - 1)*(u + 254)
Factor -1715*p**4 + 1589315*p**3 + 2045295*p**2 + 876825*p + 125280.
-5*(p - 928)*(7*p + 3)**3
Let 196*t**4 + 3990*t**3 - 6908*t**2 + 3840*t - 704 = 0. What is t?
-22, 1/2, 4/7
Determine z, given that 8*z**5/5 + 104*z**4/5 + 314*z**3/5 + 204*z**2/5 - 306*z/5 - 324/5 = 0.
-9, -2, -3/2, 1
Solve -5*z**4 - 5820*z**3 - 1699425*z**2 - 3375610*z = 0.
-581, -2, 0
Factor -5*d**4 - 180*d**3 - 2070*d**2 - 8100*d - 10125.
-5*(d + 3)**2*(d + 15)**2
Factor 20*o**4 - 52*o**3 - 104*o**2 - 32*o.
4*o*(o - 4)*(o + 1)*(5*o + 2)
Factor -2*s**2 - 4*s + 126.
-2*(s - 7)*(s + 9)
Suppose -2*v**4/3 - 82*v**3/3 - 330*v**2 - 450*v + 9000 = 0. What is v?
-15, 4
Factor 4*q**3/3 + 536*q**2/3 + 532*q/3.
4*q*(q + 1)*(q + 133)/3
Determine r, given that 3*r**4 + 12*r**3 + 12*r**2 = 0.
-2, 0
Solve -80*j**4/3 - 1004*j**3/3 - 1138*j**2 - 552*j - 72 = 0 for j.
-6, -3/10, -1/4
Solve 2*l**3/3 - 16*l**2 + 238*l/3 = 0.
0, 7, 17
Solve -2*h**4/19 - 26*h**3/19 - 70*h**2/19 + 98*h/19 = 0.
-7, 0, 1
Solve -2*n**5/19 + 4*n**4/19 + 16*n**3/19 - 32*n**2/19 - 32*n/19 + 64/19 = 0 for n.
-2, 2
Solve 2*k**2/19 + 72*k/19 + 136/19 = 0 for k.
-34, -2
Factor 8*i**5/3 + 34*i**4/3 + 44*i**3/3 + 6*i**2.
2*i**2*(i + 1)**2*(4*i + 9)/3
Suppose 242*p**5 - 1320*p**4 + 436*p**3 + 552*p**2 + 90*p = 0. Calculate p.
-3/11, 0, 1, 5
Factor -3*i**3/4 + 9*i**2/2 + 147*i/4 + 99/2.
-3*(i - 11)*(i + 2)*(i + 3)/4
Find b, given that 4*b**4 - 84*b**3 + 224*b**2 - 144*b = 0.
0, 1, 2, 18
Factor 2*m**5/3 - 2*m**4/3 - 10*m**3/3 - 2*m**2.
2*m**2*(m - 3)*(m + 1)**2/3
Factor 5*m**2 - 550*m - 4095.
5*(m - 117)*(m + 7)
Let 5*n**2 - 41660*n + 86777780 = 0. What is n?
4166
Solve -2*w**4 + 88*w**3 - 76*w**2 - 424*w - 258 = 0.
-1, 3, 43
Solve -140*x**3/9 - 2*x**2/9 + 4*x = 0.
-18/35, 0, 1/2
Factor k**2 - 72*k - 73.
(k - 73)*(k + 1)
Suppose 26*h**2/5 - 110*h + 84/5 = 0. What is h?
2/13, 21
Factor 5*v**3 + 40*v**2 - 220*v + 240.
5*(v - 2)**2*(v + 12)
Let 16*x**4/3 - 92*x**3 + 1348*x**2/3 - 640*x + 400/3 = 0. What is x?
1/4, 2, 5, 10
Let s**5 + 57*s**4 + 651*s**3 - 4805*s**2 = 0. What is s?
-31, 0, 5
Determine o, given that -5*o**3 + 80*o**2 + 275*o + 190 = 0.
-2, -1, 19
Factor -2*w**2 + 486*w.
-2*w*(w - 243)
Let -3*q**2/5 + 564*q/5 - 26508/5 = 0. Calculate q.
94
Find m, given that 4*m**4 - 28*m**3 - 228*m**2 + 1692*m - 2592 = 0.
-8, 3, 9
Factor -3*c**3/8 - 165*c**2/2 + 669*c/8 + 663/4.
-3*(c - 2)*(c + 1)*(c + 221)/8
Determine m so that -3*m**2/5 + 42*m/5 - 39/5 = 0.
1, 13
Determine a so that 4*a**5 - 104*a**4 + 388*a**3 + 6768*a**2 - 25920*a - 172800 = 0.
-5, 12
Determine h, given that 4*h**2 + 41360*h + 106915600 = 0.
-5170
Factor -2*u**2/7 - 30*u/7 + 108/7.
-2*(u - 3)*(u + 18)/7
Determine j, given that -2*j**2 + 102*j = 0.
0, 51
Determine f so that -f**4 - 22*f**3 + 748*f**2 + 16150*f - 16875 = 0.
-25, 1, 27
Suppose -m**2/5 + 147*m - 734/5 = 0. What is m?
1, 734
What is l in -9*l**3/4 - 48*l**2 - 63*l/4 = 0?
-21, -1/3, 0
Factor 3*l**2 + 45*l + 42.
3*(l + 1)*(l + 14)
Factor -f**2 - 1793*f + 3590.
-(f - 2)*(f + 1795)
Let 4*d**5/7 + 20*d**4/7 + 4*d**3 - 4*d**2/7 - 32*d/7 - 16/7 = 0. Calculate d.
-2, -1, 1
Factor -s**5/2 - s**4.
-s**4*(s + 2)/2
Factor 2*m**3/7 - 118*m**2/7 - 120*m/7.
2*m*(m - 60)*(m + 1)/7
Find o such that o**2 - 131*o - 1410 = 0.
-10, 141
Find a, given that 12*a**5 - 3*a**4 - 72*a**3 + 114*a**2 - 60*a + 9 = 0.
-3, 1/4, 1
Solve -2*l**4/3 - 8*l**3/3 - 4*l**2 - 8*l/3 - 2/3 = 0.
-1
Factor 3*f**2/2 + 3*f/2 - 3.
3*(f - 1)*(f + 2)/2
Factor 15*n**4 - 50*n**3 + 5*n**2 + 30*n.
5*n*(n - 3)*(n - 1)*(3*n + 2)
Suppose -2*r**3 - 12*r**2 + 74*r - 60 = 0. What is r?
-10, 1, 3
Let -4*j**4 - 56*j**3 - 28*j**2 + 312*j = 0. What is j?
-13, -3, 0, 2
Find f such that -2*f**2/9 - 14*f/3 + 44/9 = 0.
-22, 1
Find m such that m**4/3 + 7*m**3/3 + 5*m**2 + 3*m = 0.
-3, -1, 0
Let -15*y**5 - 42*y**4 + 24*y**3 + 42*y**2 - 9*y = 0. What is y?
-3, -1, 0, 1/5, 1
What is r in -r**3 - 24*r**2 - 23*r = 0?
-23, -1, 0
Determine s, given that 57*s**3/7 + 3645*s**2/7 - 3897*s/7 + 195/7 = 0.
-65, 1/19, 1
Factor 5*x**2 + 470*x - 960.
5*(x - 2)*(x + 96)
Factor -d**3/7 + 8*d**2/7 + 13*d - 14.
-(d - 14)*(d - 1)*(d + 7)/7
Find c, given that 3*c**4/7 + 3*c**3/7 - 3*c**2/7 - 3*c/7 = 0.
-1, 0, 1
Factor 10*s**3 + 2*s**2 - 68*s + 48.
2*(s - 2)*(s + 3)*(5*s - 4)
Factor x**4/3 + 968*x**3/3 + 233285*x**2/3 - 470450*x/3.
x*(x - 2)*(x + 485)**2/3
What is n in 4*n**4 + 16*n**3 - 8*n**2 - 48*n + 36 = 0?
-3, 1
Let -5*r**4 - 565*r**3 - 16755*r**2 - 43175*r + 60500 = 0. Calculate r.
-55, -4, 1
Factor 3*w**3 + 2178*w**2 - 4365*w + 2184.
3*(w - 1)**2*(w + 728)
Factor -5*l**5 + 85*l**4 - 225*l**3 + 215*l**2 - 70*l.
-5*l*(l - 14)*(l - 1)**3
Factor 14*f**3/9 + 634*f**2/9 - 464*f/9 - 184/9.
2*(f - 1)*(f + 46)*(7*f + 2)/9
Factor -g**4/5 + g**3/5 + 6*g**2/5 - 4*g/5 - 8/5.
-(g - 2)**2*(g + 1)*(g + 2)/5
Factor i**3 + 116*i**2 + 220*i - 912.
(i - 2)*(i + 4)*(i + 114)
What is q in 2*q**4 - 4*q**3 - 16*q**2 = 0?
-2, 0, 4
Factor 3*g**2/7 - 192*g/7.
3*g*(g - 64)/7
Factor x**4/4 - 7*x**3/2 + 11*x**2 - 10*x.
x*(x - 10)*(x - 2)**2/4
Factor n**4/5 + 17*n**3/5 + 16*n**2/5.
n**2*(n + 1)*(n + 16)/5
Determine d, given that 5*d**3 + 220*d**2 - 235*d - 450 = 0.
-45, -1, 2
Factor -g**2/5 + 772*g/5 - 771/5.
-(g - 771)*(g - 1)/5
Factor -d**3/6 + 59*d**2/6 - 1139*d/6 + 7225/6.
-(d - 25)*(d - 17)**2/6
Factor 27*u**3/7 - 66*u**2/7 + 51*u/7 - 12/7.
3*(u - 1)**2*(9*u - 4)/7
Suppose -5*b**3 + 50*b**2 + 185*b + 130 = 0. What is b?
-2, -1, 13
Factor -4*m**3 - 32*m**2 - 80*m - 64.
-4*(m + 2)**2*(m + 4)
Suppose 2*m**2 + 60*m = 0. Calculate m.
-30, 0
Factor 2*j**2 + 58*j + 156.
2*(j + 3)*(j + 26)
Solve -4*x**2 + 156*x - 152 = 0 for x.
1, 38
Let 2*g**5/15 + 16*g**4/15 + 4*g**3/5 - 16*g**2/15 - 14*g/15 = 0. What is g?
-7, -1, 0, 1
Determine b so that b**3/4 - 2*b**2 - 79*b/4 - 35/2 = 0.
-5, -1, 14
Factor 2*v**4/9 - 1064*v**3/9 - 356*v**2 - 3208*v/9 - 1070/9.
2*(v - 535)*(v + 1)**3/9
Suppose -4*a**3 + 428*a**2 - 1256*a + 832 = 0. Calculate a.
1, 2, 104
Factor -z**3/9 - 2*z**2/3 - 11*z/9 - 2/3.
-(z + 1)*(z + 2)*(z + 3)/9
Find m such that 3*m**3 + 1251*m**2 + 2493*m + 1245 = 0.
-415, -1
Factor 2*c**5 + 52*c**4 - 1452*c**3 - 4648*c**2 - 4742*c - 1596.
2*(c - 19)*(c + 1)**3*(c + 42)
What is v in 25*v**5/2 + 595*v**4/2 + 1587*v**3 - 2542*v**2 - 3844*v = 0?
-62/5, -1, 0, 2
Suppose -m**3/6 + 107*m**2/2 - 11449*m/2 + 1225043/6 = 0. Calculate m.
107
Factor -3*i**2 + 75*i + 162.
-3*(i - 27)*(i + 2)
Find k, given that -5*k**3 + 65*k**2 + 5*k - 65 = 0.
-1, 1, 13
Suppose 3*k**4/4 + 14*k**3 - 325*k**2/2 + 200*k + 3375/4 = 0. What is k?
-27, -5/3, 5
Determine c, given that 2*c**5/23 + 50*c**4/23 + 332*c**3/23 + 192*c**2/23 - 576*c/23 = 0.
-12, -2, 0, 1
Solve a**2 - 4298*a + 4618201 = 0.
2149
Solve 900*l**5 - 6540*l**4 + 7096*l**3 - 1552*l**2 + 96*l = 0 for l.
0, 2/15, 1, 6
Factor -w**4 + 172*w**3 - 4560*w**2 + 43600*w - 142000.
-(w - 142)*(w - 10)**3
Find b, given that 147*b**2 - 38067*b - 1554 = 0.
-2/49, 259
Factor 3*f**5 - 21*f**4.
3*f**4*(f - 7)
Factor 4*k**3 - 24*k**2 + 12*k + 40.
4*(k - 5)*(k - 2)*(k + 1)
Suppose -2*o**3 + 98*o**2 + 112*o - 600 = 0. What is o?
-3, 2, 50
Let 112*v**3/5 - 604*v**2/5 - 2416*v/5 + 128 = 0. Calculate v.
-20/7, 1/4, 8
Factor -4*p**3/3 + 33*p**2/2 + 449*p/6 + 40.
-(p - 16)*(p + 3)*(8*p + 5)/6
Factor x**3/10 - 3*x**2/10 + 2/5.
(x - 2)**2*(x + 1)/10
Factor