 g so that -g**4/2 - 45*g**3/2 - 87*g**2/2 - 43*g/2 = 0.
-43, -1, 0
Factor 4*r**4 - 28*r**3 + 24*r**2 + 128*r - 128.
4*(r - 4)**2*(r - 1)*(r + 2)
Factor 6*f**3 - 21*f**2 - 12*f.
3*f*(f - 4)*(2*f + 1)
Suppose 2*w**3/19 - 28*w**2/19 + 106*w/19 - 80/19 = 0. Calculate w.
1, 5, 8
Suppose -10*h**4/7 - 96*h**3/7 + 2250*h**2/7 - 2984*h/7 + 120 = 0. Calculate h.
-21, 2/5, 1, 10
Solve 4*q**5/3 - 18*q**4 + 154*q**3/3 - 48*q**2 + 40*q/3 = 0.
0, 1/2, 1, 2, 10
What is b in -3*b**2 - 51*b + 252 = 0?
-21, 4
Factor -8*a**3/9 - 94*a**2/9 - 52*a/3.
-2*a*(a + 2)*(4*a + 39)/9
Solve 81*v**4 - 207*v**3 + 58*v**2 + 60*v + 8 = 0 for v.
-2/9, 1, 2
Factor 2*l**2/7 - 922*l/7 + 1836/7.
2*(l - 459)*(l - 2)/7
Find n, given that -3*n**2 - 1554*n - 6168 = 0.
-514, -4
Suppose -p**5/4 - 13*p**4 - 725*p**3/4 - 625*p**2/2 = 0. Calculate p.
-25, -2, 0
Suppose n**3/3 - 8*n**2/3 - 55*n/3 + 350/3 = 0. What is n?
-7, 5, 10
Factor -n**4/7 - 32*n**3/7 - 318*n**2/7 - 160*n - 119.
-(n + 1)*(n + 7)**2*(n + 17)/7
Factor -3*g**4 - 12*g**3 - 15*g**2 - 6*g.
-3*g*(g + 1)**2*(g + 2)
Factor -2*h**4 - 364*h**3 + 2*h**2 + 364*h.
-2*h*(h - 1)*(h + 1)*(h + 182)
Let 6*h**5 + 232*h**4 + 800*h**3 + 1068*h**2 + 634*h + 140 = 0. What is h?
-35, -1, -2/3
Let -q**4/4 + 135*q**3/4 + 9*q**2/4 - 1215*q/4 = 0. Calculate q.
-3, 0, 3, 135
Factor u**4/3 + 46*u**3/3 + 131*u**2/3 + 86*u/3.
u*(u + 1)*(u + 2)*(u + 43)/3
Factor -3*g**3 - 117*g**2 - 1296*g - 2916.
-3*(g + 3)*(g + 18)**2
Factor -4*z**3/3 + 61*z**2/3 - 4*z - 15.
-(z - 15)*(z - 1)*(4*z + 3)/3
Let b**5/6 - b**4/3 - b**3/2 + 4*b**2/3 - 2*b/3 = 0. What is b?
-2, 0, 1, 2
Determine g so that 18*g**5 + 183*g**4 - 384*g**3 + 147*g**2 + 36*g = 0.
-12, -1/6, 0, 1
Solve -o**2/6 + 304*o/3 - 46208/3 = 0.
304
Factor u**2/3 - 98*u/3 - 200/3.
(u - 100)*(u + 2)/3
Factor -t**4/3 + 7*t**3/3 - 5*t**2 + 13*t/3 - 4/3.
-(t - 4)*(t - 1)**3/3
Factor -f**3/8 - 1087*f**2/8 + 136*f.
-f*(f - 1)*(f + 1088)/8
Factor -3*t**3 + 45*t**2 - 144*t - 192.
-3*(t - 8)**2*(t + 1)
Find r such that -r**5 + 33*r**4 - 119*r**3 + 83*r**2 + 120*r - 116 = 0.
-1, 1, 2, 29
Factor -4*z**3 - 72*z**2 - 276*z - 208.
-4*(z + 1)*(z + 4)*(z + 13)
Factor l**4/2 - 2771*l**3 + 5119884*l**2 - 3155553325*l + 6300872423/2.
(l - 1847)**3*(l - 1)/2
Determine f, given that 45*f**3 + 411*f**2 - 8160*f + 5244 = 0.
-19, 2/3, 46/5
Factor z**3 - 128*z**2 - 260*z.
z*(z - 130)*(z + 2)
Factor -l**3/5 - 24*l**2/5 - 68*l/5 + 48.
-(l - 2)*(l + 6)*(l + 20)/5
Factor -2*s**3/9 + 62*s**2/3 - 470*s - 4418/9.
-2*(s - 47)**2*(s + 1)/9
Solve 19*b**2 + 150*b - 16 = 0.
-8, 2/19
Let -4*g**2 - 64*g + 320 = 0. Calculate g.
-20, 4
Find t such that t**4/3 + 40*t**3/3 + 358*t**2/3 - 280*t + 147 = 0.
-21, 1
Let h**4/9 + h**3/9 - 2*h**2/9 = 0. Calculate h.
-2, 0, 1
Factor -l**5 + 16*l**4 - 78*l**3 + 112*l**2 - 49*l.
-l*(l - 7)**2*(l - 1)**2
Factor 5*l**2/3 + 230*l/3 - 1400.
5*(l - 14)*(l + 60)/3
Let 3*a**5 - 9*a**4 - 87*a**3 + 9*a**2 + 84*a = 0. Calculate a.
-4, -1, 0, 1, 7
Suppose q**3/11 + q**2/11 - 197*q/11 + 195/11 = 0. Calculate q.
-15, 1, 13
Let -5*l**3 + 25*l**2 - 40*l + 20 = 0. What is l?
1, 2
Find j, given that -637*j**5/4 + 476*j**4 + 116*j**3 - 573*j**2/2 - 531*j/4 - 27/2 = 0.
-3/7, -2/13, 1, 3
Factor -d**4/3 - 5*d**3/3 - 2*d**2 + 4*d/3 + 8/3.
-(d - 1)*(d + 2)**3/3
Let 2*p**4 - 28*p**3 - 104*p**2 + 28*p + 102 = 0. Calculate p.
-3, -1, 1, 17
Determine f so that -21*f**5/4 + 45*f**4/2 - 87*f**3/4 - 33*f**2/2 + 27*f - 6 = 0.
-1, 2/7, 1, 2
Factor 2*l**4/13 - 744*l**3/13 + 69192*l**2/13.
2*l**2*(l - 186)**2/13
Factor -2*t**2/11 - 1246*t/11.
-2*t*(t + 623)/11
Factor 3*i**3 + 978*i**2 + 76692*i - 496008.
3*(i - 6)*(i + 166)**2
Let -p**2 - 51*p - 144 = 0. Calculate p.
-48, -3
Determine d so that 2*d**4/19 - 72*d**3/19 + 774*d**2/19 - 2240*d/19 + 1536/19 = 0.
1, 3, 16
Determine q, given that -5*q**5/3 + 10*q**4 - 20*q**3 + 50*q**2/3 - 5*q = 0.
0, 1, 3
Factor -f**2/3 + 52*f/3 - 100/3.
-(f - 50)*(f - 2)/3
Factor -3*p**3 - 138*p**2 - 516*p - 504.
-3*(p + 2)**2*(p + 42)
Determine g so that -3*g**5/2 - 6*g**4 + 6*g**3 + 24*g**2 = 0.
-4, -2, 0, 2
What is k in 4*k**3 - 44*k**2 = 0?
0, 11
Factor -2*t**2 + 20*t - 50.
-2*(t - 5)**2
Suppose 2*u**3/5 - 78*u**2/5 + 144*u - 1944/5 = 0. What is u?
6, 27
What is s in 4*s**4 + 140*s**3 + 1608*s**2 + 6608*s + 7840 = 0?
-14, -5, -2
Determine f, given that -2*f**4/5 + 2*f**3/5 + 24*f**2/5 + 8*f/5 - 32/5 = 0.
-2, 1, 4
Factor 4*g**5 - 12*g**4 + 8*g**3 + 8*g**2 - 12*g + 4.
4*(g - 1)**4*(g + 1)
Factor 2*r**3 + 68*r**2 - 70*r.
2*r*(r - 1)*(r + 35)
Find f such that 8*f**3 + 16*f**2 + 10*f + 2 = 0.
-1, -1/2
Factor -14*h**2/3 + 250*h/3 + 12.
-2*(h - 18)*(7*h + 1)/3
Let -2*q**5 + 34*q**4 + 232*q**3 - 200*q**2 - 1472*q + 1408 = 0. Calculate q.
-4, 1, 2, 22
Factor 9*i**3/4 - 25*i**2/4 - 3*i/2.
i*(i - 3)*(9*i + 2)/4
Factor 2*a**3 + 139*a**2 + 205*a + 68.
(a + 1)*(a + 68)*(2*a + 1)
Suppose -2*j**3 + 86*j**2 - 164*j = 0. Calculate j.
0, 2, 41
Factor 2*h**2/11 + 354*h/11.
2*h*(h + 177)/11
Suppose 36*g**5 - 324*g**4 - 367*g**3 + 54*g**2 + 156*g + 40 = 0. Calculate g.
-2/3, -1/2, 2/3, 10
Determine j so that -5*j**4 + 265*j**3 + 35*j**2 - 1825*j - 1590 = 0.
-2, -1, 3, 53
Factor -13*s**3/5 - 108*s**2/5 - 276*s/5 - 224/5.
-(s + 2)**2*(13*s + 56)/5
Solve -2*m**2/5 - 18*m/5 - 36/5 = 0 for m.
-6, -3
Factor -4*b**4 + 136*b**3 - 816*b**2 + 1656*b - 972.
-4*(b - 27)*(b - 3)**2*(b - 1)
Suppose -5*z**2 - 10*z = 0. What is z?
-2, 0
Let y**2/4 - 17*y/4 = 0. Calculate y.
0, 17
Factor v**3/4 + 9*v**2/4 + 11*v/4 - 21/4.
(v - 1)*(v + 3)*(v + 7)/4
Factor 3*m**3/2 + 405*m**2/2 + 1332*m - 1536.
3*(m - 1)*(m + 8)*(m + 128)/2
Determine m so that 3*m**4/8 + 3*m**3/8 - 9*m**2/2 = 0.
-4, 0, 3
Factor 4*w**4 + 32*w**3 + 24*w**2 - 160*w + 100.
4*(w - 1)**2*(w + 5)**2
Determine i so that -230*i**4 + 1595*i**3 + 105*i**2 = 0.
-3/46, 0, 7
Factor -3*g**4/4 - 33*g**3/4 - 105*g**2/4 - 75*g/4.
-3*g*(g + 1)*(g + 5)**2/4
Let 3*m**3 - 984*m**2 + 981*m = 0. Calculate m.
0, 1, 327
Find w, given that -8*w**4/3 - 232*w**3/3 - 766*w**2 - 8932*w/3 - 11858/3 = 0.
-11, -7/2
Determine g so that -5*g**5 - 60*g**4 - 190*g**3 - 260*g**2 - 165*g - 40 = 0.
-8, -1
Factor -2*d**4/3 - 10*d**3/3 - 6*d**2 - 14*d/3 - 4/3.
-2*(d + 1)**3*(d + 2)/3
Find j, given that 2*j**4/3 - j**3/3 - 4*j**2/3 + j = 0.
-3/2, 0, 1
Let 2*i**5/5 - 6*i**4/5 - 26*i**3/5 + 6*i**2 = 0. What is i?
-3, 0, 1, 5
Find w, given that -2*w**2/15 - 328*w/15 - 13448/15 = 0.
-82
Factor -c**3 - 7*c**2 + 10*c + 16.
-(c - 2)*(c + 1)*(c + 8)
Suppose 16*r**3/3 - 7144*r**2/3 + 3569*r/3 - 446/3 = 0. Calculate r.
1/4, 446
Let 3*z**2 - 13662*z + 15554187 = 0. Calculate z.
2277
Determine p so that 4*p**3 - 32*p**2 + 84*p - 72 = 0.
2, 3
Solve -z**4/6 + 5*z**3/6 + 14*z**2 + 122*z/3 + 104/3 = 0 for z.
-4, -2, 13
Determine t so that -5*t**2 - 5170*t - 1336445 = 0.
-517
Factor g**2/7 - 2962*g/7 + 2193361/7.
(g - 1481)**2/7
Factor 196*g**4 + 1428*g**3 + 1572*g**2 + 364*g + 24.
4*(g + 1)*(g + 6)*(7*g + 1)**2
Find f such that -3*f**5/5 - 6*f**4/5 + 12*f**3/5 + 6*f**2/5 - 9*f/5 = 0.
-3, -1, 0, 1
Factor -3*n**2/5 - 792*n/5 + 1596/5.
-3*(n - 2)*(n + 266)/5
Factor 2*w**3 - 1224*w**2 + 1222*w.
2*w*(w - 611)*(w - 1)
Suppose -4*u**5/7 + 44*u**4/7 - 164*u**3/7 + 28*u**2 + 120*u/7 - 288/7 = 0. What is u?
-1, 2, 3, 4
Factor y**3/4 + 527*y**2/4 + 17554*y + 51483.
(y + 3)*(y + 262)**2/4
Factor b**2/4 + 391*b/4 - 98.
(b - 1)*(b + 392)/4
Find p, given that p**2/2 - 7*p - 15/2 = 0.
-1, 15
Find o such that 11*o**5/9 + 311*o**4/3 + 184*o**3 - 332*o**2/9 = 0.
-83, -2, 0, 2/11
Factor -2*n**2/5 - 44*n - 848/5.
-2*(n + 4)*(n + 106)/5
Factor 3*b**4/2 - 9*b**3 + 27*b**2/2 + 6*b - 18.
3*(b - 3)*(b - 2)**2*(b + 1)/2
Find m, given that -6*m**5 + 243*m**4 - 348*m**3 - 126*m**2 + 354*m - 117 = 0.
-1, 1/2, 1, 39
Determine w so that 2*w**2/5 - 2996*w/5 + 1122002/5 = 0.
749
What is y in 4*y**4 + 876*y**3 + 10904*y**2 + 39696*y + 29664 = 0?
-206, -6, -1
Suppose -3*d**4 + 102*d**3 + 960*d**2 + 2016*d = 0. Calculate d.
-4, 0, 42
Let -25*a**2 + 110*a - 120 = 0. Calculate a.
2, 12/5
Solve 4*t**2 - 2168*t = 0.
0, 542
Solve 2*z**2 - 44*z + 42 = 0 for z.
1, 21
Find p such that 4*p**3 + 1144*p**2 + 4528*p + 4512 = 0.
-282, -2
Determine p, given that 4*p**4 - 32*p**3 + 44*p**2 + 32*p - 48 = 0.
-1, 1, 2, 6
Determine w, given that -w**3/4 + 19*w**2/2 + 79*w/4 + 10 = 0.
-1, 40
Fac