**2 - 489*l - 510 = 0.
-17, -1, 10
Suppose c**5/2 + 2*c**4 - 9*c**3/2 - 8*c**2 + 10*c = 0. What is c?
-5, -2, 0, 1, 2
Factor -2*x**3/7 + 82*x**2/7 - 232*x/7 + 152/7.
-2*(x - 38)*(x - 2)*(x - 1)/7
Let 305*k**2 + 50*k = 0. What is k?
-10/61, 0
Factor 2*y**5 + 8*y**4 - 6*y**3 - 68*y**2 - 104*y - 48.
2*(y - 3)*(y + 1)*(y + 2)**3
Factor b**2/7 - b/7.
b*(b - 1)/7
Find s such that 12*s**4 - 284*s**3 - 5444*s**2 - 18004*s + 14504 = 0.
-7, 2/3, 37
Factor -v**4 + 21*v**3 - 68*v**2 - 528*v + 576.
-(v - 12)**2*(v - 1)*(v + 4)
Solve 3*v**2/4 + 55*v/2 + 18 = 0.
-36, -2/3
What is y in -4*y**3 - 2548*y**2 - 15180*y - 22716 = 0?
-631, -3
Suppose p**3/4 - 51*p**2/4 - 13*p = 0. What is p?
-1, 0, 52
Let -71*u**3 + 144*u**2 - 75*u + 2 = 0. Calculate u.
2/71, 1
Solve 2*c**3 + 8*c**2 - 10*c = 0 for c.
-5, 0, 1
Factor -c**3/5 - c**2/5 + c/5 + 1/5.
-(c - 1)*(c + 1)**2/5
Solve 4*c**4 + 56512*c**3 + 299400576*c**2 + 704988556288*c + 622504895202304 = 0 for c.
-3532
What is o in 2*o**5 - 760*o**4 + 752*o**3 + 2284*o**2 - 3794*o + 1516 = 0?
-2, 1, 379
Determine k, given that -4*k**5 - 892*k**4 - 66600*k**3 - 1686608*k**2 - 1620896*k = 0.
-74, -1, 0
Factor -t**4/4 - 145*t**3/4 - 429*t**2/4 - 427*t/4 - 71/2.
-(t + 1)**3*(t + 142)/4
Suppose -4*p**5 - 192*p**4 - 2080*p**3 - 6144*p**2 - 5440*p = 0. Calculate p.
-34, -10, -2, 0
Suppose 5*d**5 - 30*d**4 - 125*d**3 - 90*d**2 = 0. What is d?
-2, -1, 0, 9
Factor -42050*x**2 - 870*x - 9/2.
-(290*x + 3)**2/2
Factor 3895*s**2 - 3910*s + 15.
5*(s - 1)*(779*s - 3)
Factor 2*g**4/7 - 1426*g**3/21 + 316*g**2/7.
2*g**2*(g - 237)*(3*g - 2)/21
Factor q**5/7 - 12*q**4/7 + 57*q**3/7 - 134*q**2/7 + 156*q/7 - 72/7.
(q - 3)**2*(q - 2)**3/7
Factor -389017*a**3/7 + 879285*a**2/7 - 662475*a/7 + 166375/7.
-(73*a - 55)**3/7
Solve -a**4 - 985*a**3/4 + 371*a**2/2 + 247*a/4 = 0.
-247, -1/4, 0, 1
Factor 3*b**3/8 + 87*b**2/4 + 165*b/2 + 81.
3*(b + 2)**2*(b + 54)/8
Factor 15*b**3 - 21*b**2 - 138*b - 72.
3*(b - 4)*(b + 2)*(5*b + 3)
Find g, given that 4*g**5 - 20*g**4 - 408*g**3 - 1264*g**2 - 1120*g = 0.
-5, -2, 0, 14
Suppose -3*y**3 - 51*y**2/2 - 48*y - 18 = 0. What is y?
-6, -2, -1/2
What is r in -3*r**3 + 2430*r**2 - 487179*r - 1987788 = 0?
-4, 407
Suppose -2*m**3/7 - 716*m**2/7 = 0. Calculate m.
-358, 0
Factor 2*m**2/11 - 606*m/11.
2*m*(m - 303)/11
Factor -i**5 + 15*i**4 - 88*i**3 + 252*i**2 - 352*i + 192.
-(i - 4)**2*(i - 3)*(i - 2)**2
Factor -3*y**3 + 1113*y**2 + 2235*y + 1119.
-3*(y - 373)*(y + 1)**2
Factor -2*l**3 - 54*l**2 - 390*l - 338.
-2*(l + 1)*(l + 13)**2
Solve o**3 + 66*o**2 + 1089*o = 0.
-33, 0
Find x, given that -5*x**5 - 475*x**4 - 17750*x**3 - 325450*x**2 - 2922725*x - 10281115 = 0.
-23, -13
Factor -2*z**2 - 28*z - 48.
-2*(z + 2)*(z + 12)
Suppose -s**3/8 - 6*s**2 - 93*s/8 - 23/4 = 0. What is s?
-46, -1
Let 12*q**3 - 2332*q**2 - 1560*q = 0. What is q?
-2/3, 0, 195
Suppose 2*u**5/5 - 4*u**4/5 - 22*u**3/5 + 24*u**2/5 = 0. Calculate u.
-3, 0, 1, 4
Determine h so that 2*h**3/7 - 22*h**2/7 - 4*h + 48/7 = 0.
-2, 1, 12
Factor 2*s**3 - 128*s**2 - 262*s - 132.
2*(s - 66)*(s + 1)**2
Factor 2*k**2 - 144*k + 142.
2*(k - 71)*(k - 1)
Factor -3*i**2/5 - 201*i/5 - 1098/5.
-3*(i + 6)*(i + 61)/5
Factor -52*h**2/5 - 28*h/5 + 16.
-4*(h - 1)*(13*h + 20)/5
Suppose 3*g**3/7 + 201*g**2/7 + 1452*g/7 + 2124/7 = 0. What is g?
-59, -6, -2
Determine a so that a**5/4 - 15*a**4/4 + 59*a**3/4 - 97*a**2/4 + 18*a - 5 = 0.
1, 2, 10
Solve -h**5 - 13*h**4 + h**3 + 13*h**2 = 0.
-13, -1, 0, 1
Factor -a**5/2 - 31*a**4/2 - 87*a**3/2 - 85*a**2/2 - 14*a.
-a*(a + 1)**3*(a + 28)/2
Solve -4*k**3 + 560*k**2 - 19028*k - 40328 = 0 for k.
-2, 71
Solve -y**5/6 - 2*y**4 - 55*y**3/6 - 20*y**2 - 62*y/3 - 8 = 0.
-4, -3, -2, -1
Suppose 16*u**3 - 324*u**2 - 280*u + 588 = 0. Calculate u.
-7/4, 1, 21
What is h in 2*h**4 - 6*h**3 - 18*h**2 - 10*h = 0?
-1, 0, 5
Factor 4650*r**4 + 27895*r**3 + 55770*r**2 + 37140*r - 40.
5*(r + 2)**3*(930*r - 1)
Suppose -2*m**3 + 2916*m**2 + 2918*m = 0. What is m?
-1, 0, 1459
Solve 2*v**4 - 74*v**3 - 78*v**2 + 74*v + 76 = 0 for v.
-1, 1, 38
Find o such that -2*o**4/7 - 38*o**3/7 + 40*o**2/7 = 0.
-20, 0, 1
Factor q**4 - 2*q**3 - 3*q**2 + 8*q - 4.
(q - 2)*(q - 1)**2*(q + 2)
Factor 9*r**3/4 + 109*r**2/2 + 255*r/4 + 23/2.
(r + 1)*(r + 23)*(9*r + 2)/4
Factor -2*u**3 + 10*u**2 - 16*u + 8.
-2*(u - 2)**2*(u - 1)
Determine w so that -14*w**4/11 + 116*w**3/11 - 312*w**2/11 + 304*w/11 - 64/11 = 0.
2/7, 2, 4
Solve 4*o**5 + 4*o**4/3 - 13*o**3/3 - 4*o**2/3 + o/3 = 0.
-1, -1/2, 0, 1/6, 1
Find w, given that -2*w**3/3 - 40*w**2/3 - 256*w/3 - 512/3 = 0.
-8, -4
Let w**5 - 25*w**4 - 151*w**3 + 13*w**2 + 522*w - 360 = 0. What is w?
-4, -3, 1, 30
Factor 5*i**2 - 20980*i + 22008020.
5*(i - 2098)**2
Factor 2*w**2/9 + 50*w + 892/9.
2*(w + 2)*(w + 223)/9
Find g, given that -10*g**2 - 287*g + 87 = 0.
-29, 3/10
Find z such that 3*z**2/4 + 12*z + 45 = 0.
-10, -6
What is v in 3*v**4 + 3*v**3 - 3*v**2 - 3*v = 0?
-1, 0, 1
Factor 2*a**4 - 6*a**3 - 12*a**2 + 16*a.
2*a*(a - 4)*(a - 1)*(a + 2)
Factor m**2/5 + 78*m + 7605.
(m + 195)**2/5
Factor 20*x**4 - 55*x**3 + 50*x**2 - 15*x.
5*x*(x - 1)**2*(4*x - 3)
Find h, given that -5*h**4 - 30*h**3 + 135*h**2 + 540*h - 1620 = 0.
-6, 3
Find d, given that -12*d**2 - 296*d/7 + 108/7 = 0.
-27/7, 1/3
Factor 118*n**2 - 12*n.
2*n*(59*n - 6)
Find d, given that 5*d**3 - 1495*d**2 + 112495*d - 111005 = 0.
1, 149
Let g**2/2 - 227*g + 51529/2 = 0. Calculate g.
227
Determine c so that -c**5/2 - 3*c**4 + 35*c**3/2 - 24*c**2 + 10*c = 0.
-10, 0, 1, 2
Factor k**4 + 46*k**3 + 44*k**2 - 46*k - 45.
(k - 1)*(k + 1)**2*(k + 45)
Find x such that 3*x**4 + 102*x**3 - 105*x**2 = 0.
-35, 0, 1
Factor 4*z**5 - 356*z**4 + 2688*z**3 - 7904*z**2 + 10432*z - 5184.
4*(z - 81)*(z - 2)**4
Solve -35*w**5 + 575*w**4 - 2705*w**3 + 1585*w**2 + 8900*w + 4000 = 0.
-1, -4/7, 5, 8
Factor 2*i**2 - 4668*i + 2723778.
2*(i - 1167)**2
Find d, given that -2*d**3 + 20*d**2 + 22*d = 0.
-1, 0, 11
Factor -h**5/10 - 4*h**4/5 + 7*h**3/2 + 147*h**2/5.
-h**2*(h - 6)*(h + 7)**2/10
Determine m, given that -2*m**5 + 10*m**4 - 8*m**3 = 0.
0, 1, 4
Find t, given that -2*t**4 - 36*t**3 - 66*t**2 - 32*t = 0.
-16, -1, 0
Suppose 4*x**5 + 1636*x**4 + 164812*x**3 - 504292*x**2 + 507584*x - 169744 = 0. What is x?
-206, 1
Let 6*v**3/7 + 58*v**2 + 664*v/7 + 264/7 = 0. Calculate v.
-66, -1, -2/3
Suppose i**5/6 + 2*i**4/3 - 8*i**2/3 - 8*i/3 = 0. Calculate i.
-2, 0, 2
Factor -2*s**4 - 498*s**3.
-2*s**3*(s + 249)
Find g, given that 2*g**4/3 + 32*g**3/3 - 98*g**2/3 - 488*g/3 - 120 = 0.
-18, -2, -1, 5
What is p in -2*p**5 + 4*p**4 + 76*p**3 - 80*p**2 - 650*p - 500 = 0?
-5, -2, -1, 5
Solve -2*h**4/15 - 10*h**3/3 - 6*h**2 + 10*h/3 + 92/15 = 0.
-23, -2, -1, 1
Factor -5*p**2/3 + 440*p/3 - 145.
-5*(p - 87)*(p - 1)/3
Factor -4*v**3 - 92*v**2 + 696*v.
-4*v*(v - 6)*(v + 29)
Factor d**2/4 + 117*d/4 + 115/2.
(d + 2)*(d + 115)/4
Solve 5*s**3 + 40*s**2 - 55*s - 90 = 0.
-9, -1, 2
Factor 2*y**2/3 + 22*y + 60.
2*(y + 3)*(y + 30)/3
Determine r, given that 35*r**5 + 27640*r**4 + 7282460*r**3 + 641880430*r**2 + 452711105*r - 181914470 = 0.
-263, -1, 2/7
Factor -15*n**3 + 336*n**2 + 588*n - 288.
-3*(n - 24)*(n + 2)*(5*n - 2)
Factor 5*p**2 - 975*p - 980.
5*(p - 196)*(p + 1)
Factor 2*a**3/13 + 16*a**2/13 - 62*a/13 + 44/13.
2*(a - 2)*(a - 1)*(a + 11)/13
Factor -12*i**3 - 128*i**2 + 44*i.
-4*i*(i + 11)*(3*i - 1)
Determine g, given that 2*g**4/7 + 8*g**3/7 - 26*g**2/7 - 128*g/7 - 96/7 = 0.
-4, -3, -1, 4
Factor 2*r**3 - 790*r**2 + 76000*r + 400000.
2*(r - 200)**2*(r + 5)
Find n, given that 2*n**3/11 - 48*n**2/11 + 288*n/11 = 0.
0, 12
Factor -k**2/4 + 59*k + 237/4.
-(k - 237)*(k + 1)/4
Factor 2*h**2/5 - 374*h/5 + 148.
2*(h - 185)*(h - 2)/5
Factor -14*f**5 - 24*f**4 + 8*f**3.
-2*f**3*(f + 2)*(7*f - 2)
Factor 3*g**4 + 171*g**3 + 651*g**2 + 801*g + 318.
3*(g + 1)**2*(g + 2)*(g + 53)
Determine t, given that 3*t**2/7 + 219*t/7 = 0.
-73, 0
Let 4*c**4/3 + 7*c**3/3 - 56*c**2/3 + 15*c = 0. What is c?
-5, 0, 1, 9/4
Find q, given that 3*q**4 - 93*q**3 - 201*q**2 + 93*q + 198 = 0.
-2, -1, 1, 33
Factor -3*f**2 - 21*f + 24.
-3*(f - 1)*(f + 8)
Find g, given that 3*g**2/5 - 36*g/5 + 81/5 = 0.
3, 9
Factor 14*d**3 - 354*d**2 + 100*d.
2*d*(d - 25)*(7*d - 2)
Factor f**2 - 28*f - 29.
(f - 29)*(f + 1)
Suppose -3*k**5/7 - 69*k**4/7 - 174*k**3/7 + 4422*k**2/7 + 1815*k - 99825/7 = 0. Wha