 + 189 = 0.
-315, 1
Determine k, given that 4*k**4 - 32*k**3 + 52*k**2 - 24*k = 0.
0, 1, 6
Factor -4*z**4/11 + 14*z**3/11 - 12*z**2/11.
-2*z**2*(z - 2)*(2*z - 3)/11
Let z**3 + 199*z**2 - 4*z - 796 = 0. Calculate z.
-199, -2, 2
Factor 189*b**2/5 + 57*b + 54/5.
3*(7*b + 9)*(9*b + 2)/5
Let r**2/5 + 3*r/10 - 1/5 = 0. Calculate r.
-2, 1/2
What is b in -2*b**2/13 - 22*b/13 + 4 = 0?
-13, 2
Suppose -10*y**2/7 + 4756*y/7 + 272 = 0. What is y?
-2/5, 476
Factor -7*o**2/2 + 51*o/2 - 7.
-(o - 7)*(7*o - 2)/2
Find o, given that 4*o**3 + 7672*o**2 - 15356*o + 7680 = 0.
-1920, 1
Factor 3*l**2/2 - 11328*l + 21387264.
3*(l - 3776)**2/2
Find f such that 12*f**5 + 208*f**4 + 884*f**3 + 1472*f**2 + 976*f + 192 = 0.
-12, -2, -1, -1/3
Suppose -5*y**4 - 280*y**3 - 3320*y**2 + 16800*y - 18000 = 0. Calculate y.
-30, 2
What is a in a**5/7 + 16*a**4/7 + 25*a**3/7 - 6*a**2 = 0?
-14, -3, 0, 1
Factor -13*u**3/7 + 373*u**2/7 - 898*u/7 - 312/7.
-(u - 26)*(u - 3)*(13*u + 4)/7
Factor 2*g**3/5 - 46*g**2/5 + 86*g/5 - 42/5.
2*(g - 21)*(g - 1)**2/5
Solve -2*o**5/11 + 10*o**4/11 + 18*o**3/11 - 26*o**2/11 - 56*o/11 - 24/11 = 0.
-1, 2, 6
Factor 4*g**5/3 + 12*g**4 + 80*g**3/3.
4*g**3*(g + 4)*(g + 5)/3
Factor -5*c**2 - 3610*c - 651605.
-5*(c + 361)**2
Find c such that -2*c**4/3 - 130*c**3/3 - 804*c**2 - 3240*c - 3600 = 0.
-30, -3, -2
Let -2*h**2/5 - 44*h/5 + 558/5 = 0. What is h?
-31, 9
Find b, given that -50*b**2 + 20*b - 2 = 0.
1/5
Determine y so that -y**2 + 14*y + 32 = 0.
-2, 16
Determine v so that 5*v**2 - 1955*v - 1960 = 0.
-1, 392
Factor 2*a**5 - 8*a**4 + 6*a**3.
2*a**3*(a - 3)*(a - 1)
Solve 204*s**5 + 5108*s**4 + 25904*s**3 + 49152*s**2 + 32896*s + 1216 = 0.
-19, -2, -2/51
Factor 3*h**2 + 32*h - 11.
(h + 11)*(3*h - 1)
Suppose 3*t**4/5 - 9*t**3/5 - 27*t**2/5 + 81*t/5 = 0. What is t?
-3, 0, 3
Suppose 4*j**3 - 700*j**2 - 1428*j + 2124 = 0. What is j?
-3, 1, 177
Suppose -3*a**3/5 + 51*a**2/5 - 54*a + 432/5 = 0. Calculate a.
3, 6, 8
Factor 2*q**3/11 + 10*q**2/11 + 4*q/11 - 16/11.
2*(q - 1)*(q + 2)*(q + 4)/11
Let 3*m**4 - 483*m**3 - 12*m**2 + 1932*m = 0. What is m?
-2, 0, 2, 161
Let 4*h**3 - 12608*h**2 + 12604*h = 0. What is h?
0, 1, 3151
Solve 2*u**2/3 + 378*u - 5720/3 = 0.
-572, 5
Determine a, given that -a**3/3 - 1628*a**2/3 + 1631*a = 0.
-1631, 0, 3
Find c, given that -5*c**2 + 25*c - 30 = 0.
2, 3
Let -o**2/5 - 8*o + 41/5 = 0. Calculate o.
-41, 1
Factor -2*a**2 + 648*a - 52488.
-2*(a - 162)**2
Solve -5*s**3 + 35*s**2 + 200*s + 220 = 0 for s.
-2, 11
Find v such that -782*v**3/7 - 1560*v**2/7 - 774*v/7 + 4/7 = 0.
-1, 2/391
Factor 8*i**4/5 - 50*i**3 + 62*i**2/5.
2*i**2*(i - 31)*(4*i - 1)/5
Factor 3*k**3 - 18*k**2 - 21*k.
3*k*(k - 7)*(k + 1)
Let 9*i**5/5 + 13*i**4 - 58*i**3/5 - 16*i**2/5 = 0. What is i?
-8, -2/9, 0, 1
Suppose 2*k**3 - 18*k**2 - 96*k - 104 = 0. Calculate k.
-2, 13
Find a, given that 2*a**3 + 922*a**2/3 + 1838*a/9 + 34 = 0.
-153, -1/3
Factor 3*u**5/7 - 12*u**3/7 + 6*u**2/7 + 9*u/7 - 6/7.
3*(u - 1)**3*(u + 1)*(u + 2)/7
Factor 3*c**2 + 3*c - 126.
3*(c - 6)*(c + 7)
What is n in 5*n**5 + 115*n**4 + 635*n**3 + 1245*n**2 + 720*n = 0?
-16, -3, -1, 0
Let j**5/3 - 13*j**3/3 + 4*j**2 = 0. Calculate j.
-4, 0, 1, 3
Let -55*m**4 + 5*m**3 + 715*m**2 - 725*m + 60 = 0. Calculate m.
-4, 1/11, 1, 3
Suppose -b**3/2 - 251*b**2/2 - 7812*b + 7938 = 0. Calculate b.
-126, 1
Determine r so that 2*r**5 - 16*r**4 + 26*r**3 + 44*r**2 - 64*r - 64 = 0.
-1, 2, 4
Suppose 4*d**2 + 8240*d + 4243600 = 0. What is d?
-1030
Suppose 2*d**4/9 + 2*d**3/9 - 2*d**2/9 - 2*d/9 = 0. Calculate d.
-1, 0, 1
Factor -2*l**3 + 200*l**2/7 - 358*l/7 + 172/7.
-2*(l - 1)**2*(7*l - 86)/7
Determine x, given that -2*x**3/11 - 28*x**2/11 - 86*x/11 - 60/11 = 0.
-10, -3, -1
Let f**2/7 - 4*f/7 = 0. What is f?
0, 4
Find d, given that -125*d**5 + 115*d**4 + 1385*d**3 - 1015*d**2 - 2340*d - 180 = 0.
-3, -1, -2/25, 2, 3
Solve 4*n**3 + 72*n**2 + 68*n = 0 for n.
-17, -1, 0
Determine g so that g**2/3 - 251*g/3 + 166 = 0.
2, 249
What is f in -12*f**5 - 39*f**4 + 108*f**3 - 6*f**2 - 96*f + 45 = 0?
-5, -1, 3/4, 1
Find q such that -2*q**2 - 11*q + 6 = 0.
-6, 1/2
Factor -t**4/2 - 24*t**3 - 663*t**2/2 - 1034*t - 726.
-(t + 1)*(t + 3)*(t + 22)**2/2
Suppose -2*k**4 + 22*k**3 - 10*k**2 - 94*k - 60 = 0. Calculate k.
-1, 3, 10
Suppose 3*y**3 - 45*y**2 + 216*y - 336 = 0. Calculate y.
4, 7
Let -25*j**4 + 1235*j**3 - 1690*j**2 + 480*j = 0. What is j?
0, 2/5, 1, 48
Determine i, given that -2*i**4/7 - 20*i**3/7 + 2*i**2/7 + 20*i/7 = 0.
-10, -1, 0, 1
Solve 2*d**3/15 + 86*d**2/15 - 202*d/3 + 530/3 = 0.
-53, 5
Factor -5*k**3 + 80*k**2 + 4925*k - 5000.
-5*(k - 40)*(k - 1)*(k + 25)
Factor -2*o**3 - 148*o**2 - 2298*o + 2448.
-2*(o - 1)*(o + 24)*(o + 51)
Suppose -34*p**2 - 8*p - 8/17 = 0. Calculate p.
-2/17
Determine w so that -5*w**2 + 21*w/2 - 1 = 0.
1/10, 2
Factor 2*o**2/7 + 408*o/7 + 6016/7.
2*(o + 16)*(o + 188)/7
Find b, given that -5*b**4 + 430*b**3 - 9665*b**2 + 18060*b - 8820 = 0.
1, 42
Solve 8*z**5 - 10*z**4 - 62*z**3 + 112*z**2 - 24*z = 0 for z.
-3, 0, 1/4, 2
Factor 3*q**3 + 669*q**2 + 36960*q - 37632.
3*(q - 1)*(q + 112)**2
What is r in 5*r**3/3 - 50*r**2/3 + 35*r = 0?
0, 3, 7
Factor 4*p**4.
4*p**4
Factor -s**3 - 11*s**2 - 23*s + 35.
-(s - 1)*(s + 5)*(s + 7)
Factor 4*u**5 + 24*u**4 - 4*u**3 - 24*u**2.
4*u**2*(u - 1)*(u + 1)*(u + 6)
Factor f**4/6 - 17*f**3/3 - 6*f**2 + 17*f/3 + 35/6.
(f - 35)*(f - 1)*(f + 1)**2/6
Factor -3*j**4 + 18*j**3 + 36*j**2 - 114*j + 63.
-3*(j - 7)*(j - 1)**2*(j + 3)
Factor -w**4/2 + 7*w**3/2 + 5*w**2 - 8*w.
-w*(w - 8)*(w - 1)*(w + 2)/2
Let -2*a**3/13 + 3768*a**2/13 - 2366304*a/13 + 495346304/13 = 0. What is a?
628
Factor -2*s**3/5 + 2*s**2 + 8*s/5 - 8.
-2*(s - 5)*(s - 2)*(s + 2)/5
Suppose -9*u**4/2 - 57*u**3/2 - 61*u**2/2 - 3*u/2 + 5 = 0. Calculate u.
-5, -1, -2/3, 1/3
Let -s**2/4 - s/2 + 6 = 0. Calculate s.
-6, 4
Factor -2*t**2/13 + 596*t/13 + 46.
-2*(t - 299)*(t + 1)/13
Solve 3*n**3 + 753*n**2 - 3*n - 753 = 0.
-251, -1, 1
Factor 20*p**3 - 79032*p**2 - 110676*p - 31624.
4*(p - 3953)*(p + 1)*(5*p + 2)
Suppose z**2 + 144*z - 3280 = 0. What is z?
-164, 20
Factor -3*j**2 + 675*j - 672.
-3*(j - 224)*(j - 1)
Factor 2*k**2/19 + 848*k/19 + 1688/19.
2*(k + 2)*(k + 422)/19
Find f such that f**5/7 + 69*f**4/7 + 1287*f**3/7 + 3267*f**2/7 = 0.
-33, -3, 0
Suppose -u**4/6 + 2*u**3/3 - u**2/6 - u = 0. What is u?
-1, 0, 2, 3
Suppose -315*i**2 + 670*i - 80 = 0. Calculate i.
8/63, 2
Factor 2*f**2 - 11494*f + 11492.
2*(f - 5746)*(f - 1)
Determine q, given that 3*q**5 - 33*q**4 + 129*q**3 - 207*q**2 + 108*q = 0.
0, 1, 3, 4
Let 8396934*t**2/5 + 14196*t/5 + 6/5 = 0. Calculate t.
-1/1183
Solve j**2/3 - 94*j/3 - 64 = 0.
-2, 96
Let -t**2/3 + 1124*t/3 - 315844/3 = 0. What is t?
562
Find h such that -3*h**3 + 129*h**2 + 138*h - 264 = 0.
-2, 1, 44
Determine d so that 3*d**3 + 12*d**2/5 - 3*d - 12/5 = 0.
-1, -4/5, 1
Suppose -2*n**3/3 - 80*n**2/3 - 154*n/3 - 76/3 = 0. What is n?
-38, -1
Let 5*s**2 + 63400*s + 200978000 = 0. What is s?
-6340
Solve 2*l**2/9 + 1492*l/9 - 2992/9 = 0 for l.
-748, 2
Factor 3*w**3 + 66*w**2 - 141*w + 72.
3*(w - 1)**2*(w + 24)
Let d**5/2 + d**4 - 67*d**3/2 + 62*d**2 - 30*d = 0. What is d?
-10, 0, 1, 6
Suppose 6*k**5 + 22*k**4 - 126*k**3 - 702*k**2 - 864*k = 0. Calculate k.
-3, 0, 16/3
Factor h**3 + 39*h**2 + 230*h + 192.
(h + 1)*(h + 6)*(h + 32)
Factor -t**3 - t**2 + 65*t + 225.
-(t - 9)*(t + 5)**2
Factor 2*v**4/7 - 20*v**3/7 + 58*v**2/7 - 64*v/7 + 24/7.
2*(v - 6)*(v - 2)*(v - 1)**2/7
Suppose -2*m**2/11 + 96*m/11 - 184/11 = 0. What is m?
2, 46
Suppose 6*f**2/7 + 90*f/7 + 300/7 = 0. What is f?
-10, -5
Factor -p**5 - 10*p**4 - 13*p**3 + 60*p**2 - 36*p.
-p*(p - 1)**2*(p + 6)**2
Suppose -p**2 + 361*p - 360 = 0. Calculate p.
1, 360
Let 3*q**2 - 1215*q - 2442 = 0. Calculate q.
-2, 407
Determine b, given that -b**3 + 19*b**2 + 356*b - 780 = 0.
-13, 2, 30
Factor -z**4 - 2*z**3 - z**2.
-z**2*(z + 1)**2
Determine h so that h**5 - 52*h**4 + 486*h**3 - 1460*h**2 + 1025*h = 0.
0, 1, 5, 41
Factor 4*f**5 + 12*f**4 - 24*f**3 - 112*f**2 - 96*f.
4*f*(f - 3)*(f + 2)**3
Suppose -2*n**3 + 200*n**2 - 586*n + 388 = 0. Calculate n.
1, 2, 97
Suppose 4*x**2 - 8*x - 672 = 0. What is x?
-12, 14
Suppose -20*s**5/3 + 68*s**4 - 460*s**3/3 + 4*s**2/3 + 192*s - 112/3 = 0. Calculate s.
-1, 1/5, 2, 7
Find n such that -4*n**3 + 552*n**2 - 20100*n + 71824 = 0.
4,