**2 + 12*h = 0?
0, 1, 2, 3
Factor 3*j**5/7 - 8*j**4/7 + j**3 - 2*j**2/7.
j**2*(j - 1)**2*(3*j - 2)/7
Factor 242*t**4/5 + 2948*t**3/5 + 11442*t**2/5 + 15008*t/5 + 6272/5.
2*(t + 1)**2*(11*t + 56)**2/5
Find u, given that 20*u**3 - 17628*u**2 + 3879036*u + 2333772 = 0.
-3/5, 441
Solve u**5/3 + u**4/3 - 5*u**3/3 - 5*u**2/3 + 4*u/3 + 4/3 = 0 for u.
-2, -1, 1, 2
Determine s so that 5*s**4 - 15*s**3 - 15*s**2 + 55*s - 30 = 0.
-2, 1, 3
Factor j**3 - 4*j**2 + 3*j.
j*(j - 3)*(j - 1)
Find n, given that 24*n**5 + 1290*n**4 - 1683*n**3 - 1821*n**2 - 330*n = 0.
-55, -1/2, -1/4, 0, 2
Solve 5*v**3 - 140*v**2 + 825*v + 2250 = 0 for v.
-2, 15
Suppose -y**5/5 + 2*y**4/5 + 2*y**3 - 4*y**2 - 9*y/5 + 18/5 = 0. Calculate y.
-3, -1, 1, 2, 3
Find r, given that 2*r**2/7 - 48*r/7 = 0.
0, 24
Factor 20*z**3 + 152*z**2 - 464*z + 160.
4*(z - 2)*(z + 10)*(5*z - 2)
Factor 2*p**3 + 6*p**2 - 20*p - 48.
2*(p - 3)*(p + 2)*(p + 4)
Determine c, given that -6*c**5 + 27*c**4 - 21*c**3 - 42*c**2 + 36*c + 24 = 0.
-1, -1/2, 2
Factor 3*c**2 + 42*c + 39.
3*(c + 1)*(c + 13)
Factor 6*w**4 + 33*w**3 + 54*w**2 + 27*w.
3*w*(w + 1)*(w + 3)*(2*w + 3)
What is b in -3*b**4 + 132*b**3 + 1710*b**2 + 5700*b + 4125 = 0?
-5, -1, 55
Factor -2*d**2/3 + 1112*d/3 - 154568/3.
-2*(d - 278)**2/3
Find v such that 121*v**5 + 451*v**4 - 2939*v**3/4 + 174*v**2 - 45*v/4 = 0.
-5, 0, 3/22, 1
Determine l so that -2*l**5/5 + 58*l**4/15 + 128*l**3/5 - 56*l**2/3 = 0.
-5, 0, 2/3, 14
Factor 2*h**3/5 + 14*h**2 + 584*h/5 + 1344/5.
2*(h + 4)*(h + 7)*(h + 24)/5
Factor a**2 + 68*a - 69.
(a - 1)*(a + 69)
What is n in -5*n**2/4 + 175*n/4 + 195 = 0?
-4, 39
Factor -4*g**4/9 - 24*g**3.
-4*g**3*(g + 54)/9
Factor o**5 - 17*o**4 + 115*o**3 - 387*o**2 + 648*o - 432.
(o - 4)**2*(o - 3)**3
Suppose 3*n**4 + 9*n**3 - 126*n**2 + 300*n - 216 = 0. What is n?
-9, 2
Determine i so that 3*i**3/2 + 3687*i**2/2 - 7383*i/2 + 3693/2 = 0.
-1231, 1
Factor 2*a**2/11 - 260*a/11.
2*a*(a - 130)/11
Factor 4*c**2 + 396*c + 2232.
4*(c + 6)*(c + 93)
Determine c, given that 4*c**4 - 76*c**2 - 120*c = 0.
-3, -2, 0, 5
Find p such that 3*p**5/2 - 273*p**4/2 - 285*p**3 + 555*p**2 + 567*p/2 - 837/2 = 0.
-3, -1, 1, 93
What is p in p**3/4 + 39*p**2/4 + 54*p - 64 = 0?
-32, -8, 1
Solve 3*s**4 + 18*s**3 - 81*s**2 + 12*s + 108 = 0 for s.
-9, -1, 2
Factor -116*l**2 + 456*l + 32.
-4*(l - 4)*(29*l + 2)
Determine u so that 3*u**4/7 - 666*u**3/7 + 39531*u**2/7 - 285048*u/7 + 549552/7 = 0.
4, 107
Factor 33*u**4 + 336*u**3 + 753*u**2 + 126*u.
3*u*(u + 3)*(u + 7)*(11*u + 2)
What is w in -w**2/4 + 77*w/4 - 441/2 = 0?
14, 63
What is b in -14*b**4 + 110*b**3 - 96*b**2 = 0?
0, 1, 48/7
Factor -3*n**4 + 183*n**3 + 9*n**2 - 543*n - 366.
-3*(n - 61)*(n - 2)*(n + 1)**2
What is x in 3*x**3/5 - 36*x**2/5 + 123*x/5 - 18 = 0?
1, 5, 6
Factor 3*r**2/7 - 39*r/7 - 6.
3*(r - 14)*(r + 1)/7
Factor 2*o**2/11 + 1340*o/11 + 224450/11.
2*(o + 335)**2/11
Let -2*f**5/5 + 2*f**4/5 + 12*f**3/5 = 0. What is f?
-2, 0, 3
Factor g**3/7 + 5*g**2/7.
g**2*(g + 5)/7
Suppose 6*a**3 + 3*a**2 - 6*a - 3 = 0. What is a?
-1, -1/2, 1
Solve -3*t**5/2 + 39*t**4/2 + 387*t**3/2 + 645*t**2/2 + 150*t = 0.
-5, -1, 0, 20
What is j in 27*j**4/5 - 23742*j**3/5 + 5211363*j**2/5 + 696432*j + 116160 = 0?
-1/3, 440
Factor i**2 + 69*i - 70.
(i - 1)*(i + 70)
Factor -t**4 - 5*t**3 + 14*t**2.
-t**2*(t - 2)*(t + 7)
Factor -81*f**3/4 - 63*f**2/4 + 1298*f + 4356.
-(f - 9)*(9*f + 44)**2/4
Factor 2*p**2/9 + 1616*p/9 + 326432/9.
2*(p + 404)**2/9
Suppose m**3/9 + m**2 - 4*m/3 - 20/9 = 0. Calculate m.
-10, -1, 2
Factor a**3/6 - 13*a**2/6 + 5*a/3 + 4.
(a - 12)*(a - 2)*(a + 1)/6
Solve 5*g**4 + 100*g**3 - 215*g**2 + 110*g = 0 for g.
-22, 0, 1
Factor t**4 + 9*t**3 + 18*t**2 - 32*t - 96.
(t - 2)*(t + 3)*(t + 4)**2
Factor 5*m**3/3 - 1688*m**2/3 + 142129*m/3 + 57122/3.
(m - 169)**2*(5*m + 2)/3
Factor -3*o**5/4 - 15*o**4/4 - 9*o**3/2.
-3*o**3*(o + 2)*(o + 3)/4
Let 5*c**4 - 195*c**3 + 190*c**2 = 0. Calculate c.
0, 1, 38
Determine m, given that 2*m**5/15 + 2*m**4/3 - 4*m**3/5 - 36*m**2/5 - 18*m/5 + 54/5 = 0.
-3, 1, 3
Factor t**2 + 322*t + 321.
(t + 1)*(t + 321)
Factor -8*o**3/7 - 82*o**2 - 10224*o/7 + 2592/7.
-2*(o + 36)**2*(4*o - 1)/7
Suppose -2*k**5/11 + 8*k**4/11 + 806*k**3/11 - 676*k**2 = 0. What is k?
-22, 0, 13
Determine c so that 3*c**5/2 - 9*c**4/2 - 21*c**3/2 + 45*c**2/2 + 27*c = 0.
-2, -1, 0, 3
Factor -2*f**5 - 690*f**4 - 59856*f**3 - 59168*f**2.
-2*f**2*(f + 1)*(f + 172)**2
Solve t**4 - 23*t**3 + 81*t**2 - 97*t + 38 = 0 for t.
1, 2, 19
Factor 3*z**4 - 423*z**3 + 14697*z**2 + 15123*z.
3*z*(z - 71)**2*(z + 1)
Let -5*s**2 + 80*s - 75 = 0. What is s?
1, 15
Factor 2*b**4 - 6*b**3 - 20*b**2 + 48*b.
2*b*(b - 4)*(b - 2)*(b + 3)
Determine i so that -2*i**3/3 - 26*i**2/3 - 80*i/3 - 24 = 0.
-9, -2
Solve 2*d**5 - 2*d**4 = 0.
0, 1
Suppose -2*u**4/11 - 12*u**3/11 + 70*u**2/11 - 96*u/11 + 40/11 = 0. What is u?
-10, 1, 2
What is b in 2*b**4/7 - 96*b**3/7 + 1530*b**2/7 - 8100*b/7 = 0?
0, 15, 18
Let -5*i**4/2 + 30*i**3 - 135*i**2 + 270*i - 405/2 = 0. Calculate i.
3
Factor 2*q**3/7 - 40*q**2/7 + 226*q/7 - 44.
2*(q - 11)*(q - 7)*(q - 2)/7
Factor 4*v**3/5 - 8186*v**2/5 + 4190208*v/5 - 2093058/5.
2*(v - 1023)**2*(2*v - 1)/5
Determine v, given that 5*v**4 - 190*v**3 + 2440*v**2 - 11330*v + 9075 = 0.
1, 11, 15
Determine t so that -2*t**5/5 - 88*t**4/5 + 372*t**3/5 - 568*t**2/5 + 382*t/5 - 96/5 = 0.
-48, 1
Solve 4*s**5 + 76*s**4 - 348*s**3 + 452*s**2 - 184*s = 0 for s.
-23, 0, 1, 2
Suppose -3*s**3/4 + 933*s**2/2 - 290163*s/4 = 0. Calculate s.
0, 311
Suppose 3*g**3 + 567*g**2 + 35721*g + 750141 = 0. What is g?
-63
Factor 5*g**2 - 50*g - 280.
5*(g - 14)*(g + 4)
Factor o**3 + 98*o**2 + 97*o.
o*(o + 1)*(o + 97)
What is z in z**2 + 2*z - 48 = 0?
-8, 6
Determine b, given that -3*b**3 - 3651*b**2 + 3*b + 3651 = 0.
-1217, -1, 1
Determine h, given that -4*h**3 + 4*h**2 + 36*h - 36 = 0.
-3, 1, 3
Solve 10*n**4/11 - 28*n**3/11 + 14*n**2/11 + 4*n/11 = 0.
-1/5, 0, 1, 2
Factor -2*s**2/9 - 218*s/3 + 656/9.
-2*(s - 1)*(s + 328)/9
Let g**2/6 - 119*g/6 = 0. Calculate g.
0, 119
Factor -2*i**4 - 22*i**3 + 50*i**2 - 26*i.
-2*i*(i - 1)**2*(i + 13)
Suppose 35*w**5 + 165*w**4 + 55*w**3 - 345*w**2 + 90*w = 0. Calculate w.
-3, 0, 2/7, 1
Suppose -2*b**2 - 3602*b = 0. What is b?
-1801, 0
Suppose 9*l**2 - 1263*l + 420 = 0. What is l?
1/3, 140
Solve -d**2 - 33*d - 162 = 0.
-27, -6
Factor -2*u**2/3 - 32*u - 352/3.
-2*(u + 4)*(u + 44)/3
Factor 5*q**5 - 75*q**4 + 445*q**3 - 1305*q**2 + 1890*q - 1080.
5*(q - 4)*(q - 3)**3*(q - 2)
Factor -z**2 + 14*z - 45.
-(z - 9)*(z - 5)
What is d in -d**2 + 1 = 0?
-1, 1
Factor -4*o**2 - 200*o - 196.
-4*(o + 1)*(o + 49)
Suppose 2*t**4 + 46*t**3 - 150*t**2 - 5678*t + 5780 = 0. Calculate t.
-17, 1, 10
Solve 2*p**3 + 64*p**2 + 570*p + 900 = 0.
-15, -2
Factor 8*l**4 - 50*l**3 - 44*l**2 + 14*l.
2*l*(l - 7)*(l + 1)*(4*l - 1)
Solve -8*g**5/17 + 546*g**4/17 - 664*g**3/17 - 412*g**2/17 + 672*g/17 - 134/17 = 0 for g.
-1, 1/4, 1, 67
Factor c**2 + 441*c + 440.
(c + 1)*(c + 440)
Factor 2*f**4/7 + 410*f**3/7 + 21216*f**2/7 + 20808*f/7.
2*f*(f + 1)*(f + 102)**2/7
Suppose -15*z**4/7 + 264*z**3/7 - 36*z**2 - 6864*z/7 - 384 = 0. Calculate z.
-4, -2/5, 8, 14
Factor -3*x**2 - 222*x - 4107.
-3*(x + 37)**2
Factor k**4 + 12*k**3 - 43*k**2 + 30*k.
k*(k - 2)*(k - 1)*(k + 15)
Factor -w**3/4 - 45*w**2/4 - 303*w/4 - 259/4.
-(w + 1)*(w + 7)*(w + 37)/4
Let -8*r**3 + 12*r**2 + 72*r + 32 = 0. What is r?
-2, -1/2, 4
What is r in -2*r**4/5 + 42*r**3/5 + 18*r**2 + 46*r/5 = 0?
-1, 0, 23
Let 2*u**4/11 - 98*u**3/11 - 6*u**2/11 + 298*u/11 - 196/11 = 0. What is u?
-2, 1, 49
Find s such that 2*s**5 + 98*s**4 + 370*s**3 + 454*s**2 + 180*s = 0.
-45, -2, -1, 0
Determine i, given that -20*i**3 - 1932*i**2 - 1144*i + 768 = 0.
-96, -1, 2/5
Factor x**2/8 + 3*x/4 + 5/8.
(x + 1)*(x + 5)/8
Factor -6*d**2/7 - 128*d/7 + 88/7.
-2*(d + 22)*(3*d - 2)/7
Let -2*s**4/3 + 2*s**3 + 6*s**2 + 10*s/3 = 0. Calculate s.
-1, 0, 5
Factor 20*p**2 + 5308*p - 3192.
4*(p + 266)*(5*p - 3)
Factor -4*u**2 - 160*u - 924.
-4*(u + 7)*(u + 33)
Suppose 4*x**4 + 20*x**3 - 3996*x**2 + 39916*x + 43928 = 0. What is x?
-38, -1, 17
Let w**2/9 - 5*w/9 - 14/9 = 0. What is w?
-2, 7
Suppose -4*q**2 - 472*q - 928 = 0. Calculate q.
-116, -2
Solve -4*z**3 + 400*z**2 - 388*z - 792 = 0.
-1, 2, 99
Let 3*d**4 + 3*d**3 - 6*d**2 = 0. Calculate d.
-2, 0, 1
Find o