-2*m**3 - 206*m**2 - 204*m = 0. What is m?
-102, -1, 0
Let -3*h**4 - 15*h**3 + 126*h**2 + 432*h = 0. Calculate h.
-8, -3, 0, 6
Factor -b**3 - 51*b**2 + 160*b - 108.
-(b - 2)*(b - 1)*(b + 54)
Factor -g**5/4 + 13*g**4/2 - 12*g**3.
-g**3*(g - 24)*(g - 2)/4
Let -12*f**4 + 40*f**3 - 4*f**2 - 56*f = 0. Calculate f.
-1, 0, 2, 7/3
Determine a, given that 4*a**2 + 4*a - 528 = 0.
-12, 11
Find c such that 4*c**4 + 84*c**3 + 288*c**2 + 272*c = 0.
-17, -2, 0
Factor -2*n**4/3 - 18*n**3 + 56*n**2/3.
-2*n**2*(n - 1)*(n + 28)/3
Find h such that -2*h**3 - 140*h**2 - 768*h = 0.
-64, -6, 0
Factor 2*p**3/15 - 2*p**2/15 - 74*p/15 - 14/3.
2*(p - 7)*(p + 1)*(p + 5)/15
Find a such that 2*a**2 + 308*a - 624 = 0.
-156, 2
Find o, given that -3*o**3 - 27*o**2 + 3*o + 27 = 0.
-9, -1, 1
Let 5*j**4 + 985*j**3 - 8120*j**2 + 16400*j = 0. Calculate j.
-205, 0, 4
Determine k so that k**5/5 + 2*k**4/5 - k**3/5 - 2*k**2/5 = 0.
-2, -1, 0, 1
Factor 3*o**2/5 - 28782*o/5 + 69033627/5.
3*(o - 4797)**2/5
Factor -3*l**3/5 + 3522*l**2/5 - 204612*l - 1253160.
-3*(l - 590)**2*(l + 6)/5
Factor -39*r**2/4 - 6*r + 63/4.
-3*(r - 1)*(13*r + 21)/4
Factor -w**5/6 - w**4/3 + w**2/3 + w/6.
-w*(w - 1)*(w + 1)**3/6
Let 2*q**4/11 + 14*q**3/11 + 12*q**2/11 - 64*q/11 - 64/11 = 0. Calculate q.
-4, -1, 2
Find c, given that -c**2/4 + 5345*c/4 - 1336 = 0.
1, 5344
Determine k so that -2*k**3 + 62*k**2 - 400*k + 736 = 0.
4, 23
Factor o**4 - 69*o**3 + 1222*o**2 - 1020*o - 2312.
(o - 34)**2*(o - 2)*(o + 1)
Factor -3*f**4/4 + 4857*f**3/4 - 490860*f**2 - 492075*f.
-3*f*(f - 810)**2*(f + 1)/4
Factor z**5 + 10*z**4 + 7*z**3 - 18*z**2.
z**2*(z - 1)*(z + 2)*(z + 9)
Factor 5*w**2 + 1350*w + 91125.
5*(w + 135)**2
Find f such that -3*f**5/4 - 150*f**4 - 738*f**3 - 2643*f**2/2 - 4101*f/4 - 585/2 = 0.
-195, -2, -1
Suppose 2*f**2/5 + 464*f/5 + 26912/5 = 0. Calculate f.
-116
Let -m**2 + 112*m + 228 = 0. What is m?
-2, 114
Solve 3*m**5/7 + 39*m**4/7 + 195*m**3/7 + 465*m**2/7 + 522*m/7 + 216/7 = 0.
-4, -3, -2, -1
Let 2*c**3 - 4*c**2 - 40*c - 48 = 0. What is c?
-2, 6
Let 3*s**2/8 - 837*s/2 - 3351/8 = 0. What is s?
-1, 1117
Factor 2*m**4/9 - 2*m**3/3 + 2*m**2/9 + 2*m/3 - 4/9.
2*(m - 2)*(m - 1)**2*(m + 1)/9
Factor 2*u**2 - 68*u + 578.
2*(u - 17)**2
Solve 2*n**4 + 1600*n**3 + 4786*n**2 + 3188*n = 0.
-797, -2, -1, 0
Determine w so that w**3 - 83*w**2 + 80*w + 164 = 0.
-1, 2, 82
Factor -a**5/5 - 4*a**4/5.
-a**4*(a + 4)/5
Factor -4*i**4 + 100*i**3 - 96*i**2.
-4*i**2*(i - 24)*(i - 1)
Factor 15*n**2 + 21235*n - 7080.
5*(n + 1416)*(3*n - 1)
Factor -n**3/3 + 7*n**2 - 20*n/3.
-n*(n - 20)*(n - 1)/3
Find b such that 27*b**5 - 108*b**4 + 123*b**3 - 6*b**2 - 60*b + 24 = 0.
-2/3, 2/3, 1, 2
Find d, given that -36*d**4 - 15*d**3 + 66*d**2 + 33*d - 12 = 0.
-1, 1/4, 4/3
Find b such that -5*b**2 + 1775*b - 1770 = 0.
1, 354
Factor h**5 - 32*h**4 + 221*h**3 + 578*h**2.
h**2*(h - 17)**2*(h + 2)
Factor -l**4/9 + 22*l**3/9 - 76*l**2/9 + 8*l.
-l*(l - 18)*(l - 2)**2/9
Let 4*o**2 + 680*o - 1376 = 0. What is o?
-172, 2
Determine r so that -5*r**5 + 105*r**4 - 415*r**3 + 195*r**2 + 720*r = 0.
-1, 0, 3, 16
Factor 3*g**3/2 - 1686*g**2 + 6735*g/2 - 1683.
3*(g - 1122)*(g - 1)**2/2
Let 4*i**4 - 48*i**3 - 396*i**2 - 632*i - 288 = 0. Calculate i.
-4, -1, 18
Factor 10*l**2/7 - 2*l - 12/7.
2*(l - 2)*(5*l + 3)/7
Solve 35*s**4 - 10*s**3 - 35*s**2 + 10*s = 0.
-1, 0, 2/7, 1
Factor 2*r**2/13 + 816*r/13 - 818/13.
2*(r - 1)*(r + 409)/13
Find c, given that 2*c**4 + 92*c**3 + 944*c**2 - 3072*c - 9216 = 0.
-24, -2, 4
Suppose 2*n**5 - 12*n**4 + 4*n**3 + 32*n**2 - 6*n - 20 = 0. What is n?
-1, 1, 2, 5
Factor q**3 - 4*q**2 + q + 6.
(q - 3)*(q - 2)*(q + 1)
Factor -2*w**4/13 - 100*w**3/13 - 1250*w**2/13.
-2*w**2*(w + 25)**2/13
Determine v so that -2575*v**3 + 5165*v**2 - 2605*v + 15 = 0.
3/515, 1
Solve -3*g**3 + 375*g**2 + 2379*g - 2751 = 0 for g.
-7, 1, 131
Let x**4/5 - 4*x**3/5 + x**2 - 2*x/5 = 0. Calculate x.
0, 1, 2
Factor 2*z**4/13 + 6*z**3/13 - 2*z**2/13 - 6*z/13.
2*z*(z - 1)*(z + 1)*(z + 3)/13
What is n in n**5/3 + 37*n**4/3 - 41*n**3/3 - 113*n**2/3 + 40*n/3 + 76/3 = 0?
-38, -1, 1, 2
Suppose -v**5/3 + 13*v**4/3 + 94*v**3 + 590*v**2/3 - 3353*v/3 - 1225 = 0. Calculate v.
-7, -1, 3, 25
Determine o so that 48*o**4 - 1368*o**3 + 10083*o**2 - 4788*o + 588 = 0.
1/4, 14
Let -2*b**3 - 92*b**2 - 170*b + 264 = 0. What is b?
-44, -3, 1
Factor -3*g**2/4 - 6*g.
-3*g*(g + 8)/4
Factor -3*d**3 - 42*d**2 - 75*d - 36.
-3*(d + 1)**2*(d + 12)
Find d, given that -18*d**4 - 172*d**3 - 522*d**2 - 528*d - 160 = 0.
-4, -1, -5/9
Determine z so that -2*z**4/5 + 2*z**3 - 8*z**2/5 = 0.
0, 1, 4
Factor -20*u**2 - 3312*u + 1328.
-4*(u + 166)*(5*u - 2)
Solve l**5 + 66*l**4 - 135*l**3 + 68*l**2 = 0 for l.
-68, 0, 1
Suppose -f**2/2 + 84*f + 1969/2 = 0. What is f?
-11, 179
Factor -a**5 + 5*a**4 - 4*a**3 - 16*a**2 + 32*a - 16.
-(a - 2)**3*(a - 1)*(a + 2)
Solve -4*w**3 - 40*w**2 - 108*w - 72 = 0 for w.
-6, -3, -1
Factor 2*j**4 - 8*j**3 + 6*j**2.
2*j**2*(j - 3)*(j - 1)
Let 26*r**2/15 + 38*r/15 + 4/5 = 0. Calculate r.
-1, -6/13
Factor -2*r**4/13 + 2*r**3/13 + 2*r**2/13 - 2*r/13.
-2*r*(r - 1)**2*(r + 1)/13
What is u in 4*u**2/5 + 244*u/5 + 1512/5 = 0?
-54, -7
Factor f**4 + 11*f**3 - 14*f**2 - 24*f.
f*(f - 2)*(f + 1)*(f + 12)
Find q, given that q**4 - 4648*q**3 + 8101464*q**2 - 6275934112*q + 1823158859536 = 0.
1162
Factor -b**3/4 - 8*b**2 - 221*b/4 + 289/2.
-(b - 2)*(b + 17)**2/4
Suppose -2*z**2/17 + 100*z/17 - 1250/17 = 0. What is z?
25
What is v in -2*v**2/5 - 6*v + 108/5 = 0?
-18, 3
Let -2*m**4/11 - 28*m**3/11 - 90*m**2/11 - 104*m/11 - 40/11 = 0. What is m?
-10, -2, -1
Factor 2*f**2/7 + 146*f/7.
2*f*(f + 73)/7
Find v, given that -v**2/4 + 9*v = 0.
0, 36
Find u such that 32*u**2 - 52*u - 24 = 0.
-3/8, 2
Solve -4*v**3 + 12*v**2 + 144*v - 432 = 0.
-6, 3, 6
Factor -4*q**3/9 - 64*q**2/3.
-4*q**2*(q + 48)/9
Let -38*g**4/3 - 4*g**3/3 + 38*g**2/3 + 4*g/3 = 0. Calculate g.
-1, -2/19, 0, 1
Factor 5*g**5 + 15*g**4 + 5*g**3 - 15*g**2 - 10*g.
5*g*(g - 1)*(g + 1)**2*(g + 2)
Suppose -q**2/8 + 19*q/2 - 75/8 = 0. Calculate q.
1, 75
Factor 3*r**4 + 12*r**3 - 36*r**2.
3*r**2*(r - 2)*(r + 6)
Factor -14*r**4 - 1478*r**3 - 5888*r**2/7 - 120*r.
-2*r*(r + 105)*(7*r + 2)**2/7
Factor -7*w**3/4 + w**2/2 + 7*w/4 - 1/2.
-(w - 1)*(w + 1)*(7*w - 2)/4
Factor -k**3/2 - 35*k**2/2 + 56*k - 38.
-(k - 2)*(k - 1)*(k + 38)/2
Factor j**2/4 + 139*j - 279.
(j - 2)*(j + 558)/4
Factor -g**4 + 31*g**3 + 32*g**2.
-g**2*(g - 32)*(g + 1)
Determine f so that -4*f**4/5 - 288*f**3/5 + 292*f**2/5 = 0.
-73, 0, 1
Find s, given that s**3/3 + s**2 - 24*s - 108 = 0.
-6, 9
What is t in t**4/4 - 63*t**3/4 + 53*t**2/4 + 567*t/4 - 279/2 = 0?
-3, 1, 3, 62
Factor -2*k**3 + 8*k**2 + 10*k.
-2*k*(k - 5)*(k + 1)
Find l, given that -25*l**3 - 2035*l**2 - 6660*l - 2340 = 0.
-78, -3, -2/5
Factor -3*p**3 + 9*p**2 + 12*p.
-3*p*(p - 4)*(p + 1)
Determine l, given that 28*l**5/3 - 12*l**4 - 20*l**3/3 + 12*l**2 - 8*l/3 = 0.
-1, 0, 2/7, 1
Suppose -2*a**2/9 + 28*a + 512/9 = 0. What is a?
-2, 128
What is g in g**3 - 9*g**2 + 8*g = 0?
0, 1, 8
Find g such that 3*g**5/2 + 21*g**4 + 42*g**3 - 87*g**2 - 87*g/2 + 66 = 0.
-11, -4, -1, 1
Solve z**2/12 - 15*z/4 + 175/6 = 0.
10, 35
Factor -t**2 + 8*t - 16.
-(t - 4)**2
Suppose -5*m**2/2 + 415*m/2 - 975 = 0. What is m?
5, 78
Find l, given that -2*l**5/5 + 74*l**4/5 - 944*l**3/5 + 4904*l**2/5 - 10304*l/5 + 6272/5 = 0.
1, 4, 14
Determine m so that -4*m**4/5 - 16*m**3/5 - 4*m**2 - 8*m/5 = 0.
-2, -1, 0
Let -3*m**2 = 0. Calculate m.
0
Factor -m**2/9 - 8*m + 553/9.
-(m - 7)*(m + 79)/9
Factor 24*m**3/7 + 201*m**2/7 + 60*m.
3*m*(m + 4)*(8*m + 35)/7
Let -5*g**4 - 5*g**3 + 25*g**2 - 15*g = 0. Calculate g.
-3, 0, 1
Determine a, given that -2*a**5/5 - 4*a**4/5 + 12*a**3/5 + 8*a**2 + 38*a/5 + 12/5 = 0.
-2, -1, 3
Let w**5 - 4*w**4 - 90*w**3 - 80*w**2 + 89*w + 84 = 0. Calculate w.
-7, -1, 1, 12
Determine o so that 52*o**5 - 8*o**4 - 52*o**3 + 8*o**2 = 0.
-1, 0, 2/13, 1
Factor -g**5/3 + 8*g**4/3 - 4*g**3.
-g**3*(g - 6)*(g - 2)/3
Factor 2*g**4/5 + 38*g**3/5 + 198*g**2/5 + 162*g/5.
2*g*(g + 1)*(g + 9)**2/5
Determine r, given that r**3/3 + 11*r**2 + 105*r + 225 = 0.
-15, -3
Solve -x**3/5 - 13*x**2/5 + 64*x/5 - 68/5 = 0.
-17, 2
Factor 3*i**4 - 21*i**3 - 9*i**2 + 57*i + 42.
3*(i - 7)*(i - 2)*(i + 1)**2
Determine x, given that -4*x**3/9 - 64*x**2/9 - 100*x/9 + 56/3 = 0.