*k + 24.
-(k - 6)*(k + 4)
Factor -v**4/7 + 82*v**3/7 - 312*v**2 + 2464*v + 6272.
-(v - 28)**3*(v + 2)/7
Factor -4*r**3 + 52*r**2 + 832*r - 880.
-4*(r - 22)*(r - 1)*(r + 10)
Find r such that -2*r**3/5 + 282*r**2/5 - 2016*r + 1960 = 0.
1, 70
Solve 63*n**3/5 - 447*n**2/5 + 798*n/5 - 72/5 = 0.
2/21, 3, 4
Factor 2*l**2/13 - 358*l/13 - 84.
2*(l - 182)*(l + 3)/13
Solve 63*f**3/5 - 444*f**2/5 - 132*f/5 = 0 for f.
-2/7, 0, 22/3
Factor -3*o**3 - 93*o**2 - 177*o - 87.
-3*(o + 1)**2*(o + 29)
Factor -5*k**2/4 + 4065*k/4 + 4075/2.
-5*(k - 815)*(k + 2)/4
Find q, given that 9*q**5 + 33*q**4 + 18*q**3 - 36*q**2 - 24*q = 0.
-2, -2/3, 0, 1
Factor -3*c**2 - 246*c - 1575.
-3*(c + 7)*(c + 75)
Factor -5*d**2/6 - 305*d/6 + 155/3.
-5*(d - 1)*(d + 62)/6
What is g in -92*g**2 - 8*g = 0?
-2/23, 0
Find d, given that 4*d**4 - 4*d**3 - 36*d**2 + 36*d = 0.
-3, 0, 1, 3
Solve 5*y**3 - 25*y**2 - 8390*y - 8360 = 0 for y.
-38, -1, 44
Factor 4*w**4 - 120*w**3 - 684*w**2 - 560*w.
4*w*(w - 35)*(w + 1)*(w + 4)
Suppose 3*w**2 - 141*w - 2340 = 0. What is w?
-13, 60
Factor -w**2/8 - 141*w/8 - 35/2.
-(w + 1)*(w + 140)/8
Find b such that -6*b**5/7 - 54*b**4/7 + 354*b**3/7 + 1854*b**2/7 + 2460*b/7 + 144 = 0.
-12, -2, -1, 7
Determine v, given that -v**5/2 + 5*v**4 + 157*v**3/2 - 101*v**2 - 306*v + 324 = 0.
-9, -2, 1, 2, 18
Factor -2*r**3/3 + 14*r/3 + 4.
-2*(r - 3)*(r + 1)*(r + 2)/3
Find m such that -3*m**3 + 306*m**2 + 1587*m + 1926 = 0.
-3, -2, 107
Suppose 2*v**2/9 - 34*v/9 - 40/3 = 0. What is v?
-3, 20
Factor -64*a**4 + 368*a**3 - 665*a**2 + 361*a.
-a*(a - 1)*(8*a - 19)**2
Factor k**3 + 171*k**2 + 9747*k + 185193.
(k + 57)**3
Factor 2*w**3/11 + 2*w**2/11 - 34*w/11 + 30/11.
2*(w - 3)*(w - 1)*(w + 5)/11
Factor -3*i**5 + 48*i**4 + 222*i**3 + 348*i**2 + 237*i + 60.
-3*(i - 20)*(i + 1)**4
Factor -3*z**2/8 - 88*z - 117/2.
-(z + 234)*(3*z + 2)/8
Solve 3*g**3/7 - 2115*g**2/7 + 373824*g/7 - 371712/7 = 0 for g.
1, 352
Factor -3*q**3 - 69*q**2 + 654*q + 720.
-3*(q - 8)*(q + 1)*(q + 30)
Factor 2*o**2/9 - 124*o/9 + 1922/9.
2*(o - 31)**2/9
Determine d, given that d**2/2 - 51*d - 103/2 = 0.
-1, 103
Factor 2*q**5 + 130*q**4 + 2046*q**3 - 2178*q**2.
2*q**2*(q - 1)*(q + 33)**2
Factor -3*m**2/7 + 162*m/7.
-3*m*(m - 54)/7
Determine w so that 21*w**4 - 99*w**3 + 138*w**2 - 36*w - 24 = 0.
-2/7, 1, 2
Factor 6*l**3/11 - 6256*l**2/11 - 2086*l/11.
2*l*(l - 1043)*(3*l + 1)/11
Solve -p**5 + 56*p**4 - 836*p**3 + 1402*p**2 + 837*p - 1458 = 0.
-1, 1, 2, 27
Factor 2*h**3 + 86*h**2 + 1038*h + 2394.
2*(h + 3)*(h + 19)*(h + 21)
Find l such that -5*l**5/6 + 85*l**4/3 + 1010*l**3/3 + 3820*l**2/3 + 6080*l/3 + 3520/3 = 0.
-4, -2, 44
Factor v**4/8 - 117*v**3/2 + 27143*v**2/4 + 27495*v/2 + 55225/8.
(v - 235)**2*(v + 1)**2/8
Suppose 196*h**5 - 700*h**4 + 268*h**3 + 956*h**2 - 320*h - 400 = 0. Calculate h.
-5/7, 1, 2
Factor w**4/2 - 21*w**3/2 + 117*w**2/2 - 175*w/2 + 39.
(w - 13)*(w - 6)*(w - 1)**2/2
Factor k**4 + 18*k**3 + 96*k**2 + 128*k.
k*(k + 2)*(k + 8)**2
Solve -3*i**3/4 - 149*i**2/2 - 97*i/4 + 99/2 = 0.
-99, -1, 2/3
Let -2*c**4 + 1652*c**3 - 342786*c**2 + 680624*c - 339488 = 0. Calculate c.
1, 412
Factor -4*k**2 + 312*k.
-4*k*(k - 78)
Let -2*u**2/3 - 1352*u/3 - 228488/3 = 0. What is u?
-338
Factor x**3/3 + 101*x**2/3 + 3344*x/3 + 36100/3.
(x + 25)*(x + 38)**2/3
Let -2*q**4/9 + 32*q**3/9 - 190*q**2/9 + 496*q/9 - 160/3 = 0. What is q?
3, 4, 5
Factor -75*r**2 - 1509*r/4 - 45/4.
-3*(r + 5)*(100*r + 3)/4
Determine o, given that -o**3/7 - 710*o**2/7 - 5632*o/7 - 11232/7 = 0.
-702, -4
Let l**3/3 + l**2/3 - l/3 - 1/3 = 0. Calculate l.
-1, 1
Factor 2*a**2/7 - 300*a/7 + 11250/7.
2*(a - 75)**2/7
Solve -a**5 + 14*a**4 + 69*a**3 + 54*a**2 = 0 for a.
-3, -1, 0, 18
Let 4*n**2/9 - 124*n/9 = 0. What is n?
0, 31
Solve -2*p**4/5 + 766*p**3/5 - 762*p**2/5 - 766*p/5 + 764/5 = 0.
-1, 1, 382
Factor 2*c**2 + 532*c + 5120.
2*(c + 10)*(c + 256)
Factor -3*q**4 + 228*q**3 + 231*q**2.
-3*q**2*(q - 77)*(q + 1)
Let 3*c**3 - 3744*c**2 + 1557504*c - 215973888 = 0. What is c?
416
Determine u so that u**4/5 + 7*u**3/5 + u**2/5 - 27*u/5 + 18/5 = 0.
-6, -3, 1
Solve -18*l**5 - 222*l**4 + 694*l**3 - 386*l**2 + 60*l = 0.
-15, 0, 1/3, 2
Determine p, given that -20*p**4 - 148*p**3 - 129*p**2 + 540*p - 243 = 0.
-9/2, 3/5, 1
Let -3*a**2 + 33*a - 72 = 0. Calculate a.
3, 8
What is y in 3*y**4/4 - 27*y**3/4 + 39*y**2/4 + 27*y/4 - 21/2 = 0?
-1, 1, 2, 7
Factor -4*y**3/7 + 16*y**2/7 + 4*y - 40/7.
-4*(y - 5)*(y - 1)*(y + 2)/7
Factor -2*y**3 + 26*y**2 + 96*y.
-2*y*(y - 16)*(y + 3)
What is u in -3*u**4 + 318*u**3 + 3789*u**2 + 8532*u - 12636 = 0?
-6, 1, 117
Let 2*d**3/9 - 4*d**2/3 + 64/9 = 0. Calculate d.
-2, 4
Suppose -2*y**5/3 - 2*y**4/3 + 32*y**3 - 160*y**2/3 - 256*y/3 = 0. What is y?
-8, -1, 0, 4
Factor -3*f**4 + 549*f**3 - 25389*f**2 + 24843*f.
-3*f*(f - 91)**2*(f - 1)
Factor k**4 + 730*k**3 - 1463*k**2 + 732*k.
k*(k - 1)**2*(k + 732)
Determine o so that 3*o**5 + 3669*o**4 + 3663*o**3 - 3669*o**2 - 3666*o = 0.
-1222, -1, 0, 1
Determine v, given that -5*v**3 + 55*v**2 + 130*v = 0.
-2, 0, 13
Let 3*h**4/7 - 12*h**3/7 - 114*h**2/7 - 180*h/7 - 81/7 = 0. What is h?
-3, -1, 9
Determine r so that -r**2 - 1006*r - 253009 = 0.
-503
Solve -4*k**5 - 92*k**4 + 1352*k**3 + 50040*k**2 + 359100*k + 310500 = 0 for k.
-15, -1, 23
Solve -2*c**4/3 - 28*c**3 + 470*c**2/3 = 0 for c.
-47, 0, 5
Factor a**3/4 - 185*a**2/4 + 9775*a/4 - 108375/4.
(a - 85)**2*(a - 15)/4
Factor -b**3 - 3177*b**2 - 3364443*b - 1187648379.
-(b + 1059)**3
Determine z, given that z**3 - 23*z**2 - 641*z + 663 = 0.
-17, 1, 39
Factor s**3 + 15*s**2 + 47*s - 63.
(s - 1)*(s + 7)*(s + 9)
Determine v, given that 4*v**5 + 80*v**4 - 268*v**3 + 184*v**2 = 0.
-23, 0, 1, 2
Factor 5*p**2 - 440*p - 900.
5*(p - 90)*(p + 2)
Find q, given that 2*q**3/5 + 2*q**2 - 12*q/5 = 0.
-6, 0, 1
Solve -h**3/5 - 3*h**2/5 - 2*h/5 = 0 for h.
-2, -1, 0
What is k in -2*k**4 + 80*k**3 - 356*k**2 + 192*k + 630 = 0?
-1, 3, 35
Factor -4*m**2 - 84*m - 320.
-4*(m + 5)*(m + 16)
Factor 5*n**5 + 35*n**4 + 75*n**3 + 65*n**2 + 20*n.
5*n*(n + 1)**3*(n + 4)
Factor -o**2 - 96*o + 297.
-(o - 3)*(o + 99)
Solve b**3/2 - 119*b**2 + 237*b/2 = 0 for b.
0, 1, 237
Let 4*d**5/5 + 4*d**4/5 - 4*d**3/5 - 4*d**2/5 = 0. What is d?
-1, 0, 1
Factor -o**2 + 19*o - 18.
-(o - 18)*(o - 1)
Factor 16*y**4 + 132*y**3 + 288*y**2 + 64*y.
4*y*(y + 4)**2*(4*y + 1)
Solve 3*t**2 + 558*t + 25947 = 0 for t.
-93
Factor -5*g**2 - 5*g + 360.
-5*(g - 8)*(g + 9)
Let -4*n**5 + 40*n**4 - 96*n**3 - 40*n**2 + 100*n = 0. What is n?
-1, 0, 1, 5
Factor 3*i**4 - 228*i**3 + 444*i**2.
3*i**2*(i - 74)*(i - 2)
Factor -3*x**3/4 - 954*x**2 - 404496*x - 57168768.
-3*(x + 424)**3/4
Determine m, given that 3*m**3 - 21*m**2 - 30*m + 48 = 0.
-2, 1, 8
Suppose -v**3/4 - 189*v**2/2 - 35721*v/4 = 0. Calculate v.
-189, 0
Factor 2*v**4/7 - 58*v**3/7 - 186*v**2/7 - 190*v/7 - 64/7.
2*(v - 32)*(v + 1)**3/7
Factor -5*l**4 + 5*l**3 + 1900*l**2.
-5*l**2*(l - 20)*(l + 19)
Factor 74*n**2 + 75*n + 1.
(n + 1)*(74*n + 1)
Factor -2*d**2 + 56*d/5 - 46/5.
-2*(d - 1)*(5*d - 23)/5
Factor -5*h**2 - 7240*h - 7235.
-5*(h + 1)*(h + 1447)
Find v such that v**4/7 + 4*v**3/7 - v**2/7 - 16*v/7 - 12/7 = 0.
-3, -2, -1, 2
Solve -2*i**5 + 14*i**4 + 36*i**3 + 4*i**2 - 34*i - 18 = 0.
-1, 1, 9
Suppose -5*g**5/3 - 240*g**4 - 6700*g**3/3 = 0. Calculate g.
-134, -10, 0
Factor 4*s**3/3 + 8*s**2/3 - 20*s/3 - 8.
4*(s - 2)*(s + 1)*(s + 3)/3
Factor -2*x**3 + 30*x**2 + 2*x - 30.
-2*(x - 15)*(x - 1)*(x + 1)
Factor -3*k**2 + 27*k - 54.
-3*(k - 6)*(k - 3)
Find x such that 3*x**5/2 + 97*x**4 - 67*x**3/2 - 65*x**2 = 0.
-65, -2/3, 0, 1
Factor 5*v**4/2 - 10*v**3 + 25*v**2/2 - 5*v.
5*v*(v - 2)*(v - 1)**2/2
Factor 4*k**4 - 104*k**3 + 848*k**2 - 2200*k + 1452.
4*(k - 11)**2*(k - 3)*(k - 1)
Find f, given that 3*f**5/4 - 63*f**4/4 + 105*f**3/2 - 45*f**2/2 - 213*f/4 + 153/4 = 0.
-1, 1, 3, 17
Factor 4*p**2 - 76*p + 136.
4*(p - 17)*(p - 2)
Solve 2*f**4 - 42*f**3 = 0.
0, 21
What is v in -5*v**5 - 865*v**4 + 875*v**3 + 865*v**2 - 870*v = 0?
-174, -1, 0, 1
Suppose 4*p**3 - 552*p**2 + 8064*p - 31232 = 0. What is p?
8, 122
Determine b, given that 3*b**5 + 51*b**4 - 4761*b**3 - 14559*b**2 - 14646*b - 4896 = 0.
-48, -1, 34
Find f such that 816*f**4 + 188*f**3 - 820*f**2 - 188*f + 4 = 0.
-1, -1/4, 1/51, 1
Factor 605*n**2 - 2640*n + 2880.
5*(11*n - 24)**2
Factor 2*g**3/7 + 6*g**2/7 - 