n that -3*b**3/7 - 36*b**2 - 492*b/7 = 0.
-82, -2, 0
Determine r so that 18*r**5/5 - 228*r**4/5 + 794*r**3/5 - 456*r**2/5 + 72*r/5 = 0.
0, 1/3, 6
Factor -21*f**4 - 292*f**3 - 1001*f**2 + 98*f.
-f*(f + 7)**2*(21*f - 2)
Factor -2*x**2/5 + 28*x - 490.
-2*(x - 35)**2/5
Find s such that -12*s**3 + 116*s**2 - 68*s - 36 = 0.
-1/3, 1, 9
Find w, given that -w**4/3 + w**3 - w**2/3 - w + 2/3 = 0.
-1, 1, 2
Factor 162*y**2/5 - 1656*y/5 + 4232/5.
2*(9*y - 46)**2/5
What is q in -q**4/3 - q**3 - q**2/3 + q + 2/3 = 0?
-2, -1, 1
Factor 3*x**4 - 108*x**3 - 468*x**2 - 480*x.
3*x*(x - 40)*(x + 2)**2
Factor -2*o**2/9 - 994*o/9 - 3944/9.
-2*(o + 4)*(o + 493)/9
Factor -5*j**3 - 85*j**2 - 155*j - 75.
-5*(j + 1)**2*(j + 15)
What is w in -3*w**4/5 - 12*w**3 + 198*w**2/5 + 10164*w/5 + 51909/5 = 0?
-11, 13
Factor -20577*q**3/5 - 9747*q**2/5 - 1539*q/5 - 81/5.
-3*(19*q + 3)**3/5
Factor 324*w**5/5 + 468*w**4/5 + 32*w**3 + 16*w**2/5.
4*w**2*(w + 1)*(9*w + 2)**2/5
Find q such that 2*q**4/9 - 32*q**3/9 + 46*q**2/3 - 12*q = 0.
0, 1, 6, 9
Let -3*n**2/2 + 213*n + 432 = 0. Calculate n.
-2, 144
Factor -3*c**2 + 462*c.
-3*c*(c - 154)
Find b, given that b**4/2 + 35*b**3 - 36*b**2 - 35*b + 71/2 = 0.
-71, -1, 1
Let k**5/2 + 15*k**4/4 + 5*k**3 - 15*k**2/2 - 11*k/2 + 15/4 = 0. What is k?
-5, -3, -1, 1/2, 1
Suppose -3*a**5 + 129*a**4 - 1449*a**3 + 1323*a**2 = 0. What is a?
0, 1, 21
Factor 3*o**4 - 72*o**3 - 732*o**2 - 1152*o.
3*o*(o - 32)*(o + 2)*(o + 6)
Factor d**5 - 117*d**4 + 345*d**3 - 343*d**2 + 114*d.
d*(d - 114)*(d - 1)**3
Factor 14*p**2/9 - 382*p/9 + 12.
2*(p - 27)*(7*p - 2)/9
Determine q so that q**5 + 3*q**4 - 10*q**3 + 2*q**2 + 9*q - 5 = 0.
-5, -1, 1
Factor 4*o**5 + 12*o**4 - 20*o**3 - 12*o**2 + 16*o.
4*o*(o - 1)**2*(o + 1)*(o + 4)
Solve 2*i**4 - 4*i**3 - 30*i**2 = 0.
-3, 0, 5
Find i, given that 2*i**2/11 - 18*i/11 - 20/11 = 0.
-1, 10
Let -4*k**5 + 28*k**4 - 72*k**3 + 80*k**2 - 32*k = 0. Calculate k.
0, 1, 2
Determine w, given that 12*w**5 + 8484*w**4 + 1996563*w**3 + 155728140*w**2 - 157229808*w + 39432768 = 0.
-236, 1/2
Factor -r**3 + r**2 + 12*r.
-r*(r - 4)*(r + 3)
Determine d, given that -6*d**5/5 + 72*d**4 - 846*d**3 - 6900*d**2 - 15048*d - 52272/5 = 0.
-2, 33
What is w in w**2/6 + 49*w/6 + 272/3 = 0?
-32, -17
Find j, given that -3*j**3 + 39*j**2 - 90*j = 0.
0, 3, 10
Factor 2*q**4/3 - 10*q**3/3 - 24*q**2 + 544*q/3 - 896/3.
2*(q - 4)**3*(q + 7)/3
Suppose d**5 - 12*d**4 + 46*d**3 - 60*d**2 + 25*d = 0. What is d?
0, 1, 5
Factor -4*l**3 + 20*l**2 + 4*l - 20.
-4*(l - 5)*(l - 1)*(l + 1)
Suppose 4*d**3 + 132*d**2 - 448*d - 576 = 0. What is d?
-36, -1, 4
What is p in -6*p**4/5 + 4126*p**3/5 - 704494*p**2/5 - 332718*p - 95220 = 0?
-2, -1/3, 345
Suppose -20*f**4/11 + 26*f**3/11 + 12*f**2/11 - 26*f/11 + 8/11 = 0. What is f?
-1, 1/2, 4/5, 1
Find s, given that 12*s**2 - 555*s + 138 = 0.
1/4, 46
Factor 9*s**3/2 - 33*s**2 + 21*s/2.
3*s*(s - 7)*(3*s - 1)/2
Factor m**3/4 - 11*m**2 - 645*m/4 - 378.
(m - 56)*(m + 3)*(m + 9)/4
Factor 5*b**2/3 + 230*b + 7935.
5*(b + 69)**2/3
Factor b**2/2 + 42*b - 270.
(b - 6)*(b + 90)/2
Factor -4*h**2 + 236*h.
-4*h*(h - 59)
Let 4*a**2 - 424*a + 3136 = 0. What is a?
8, 98
Let 48*x**5/7 + 600*x**4/7 + 2259*x**3/7 + 2460*x**2/7 + 843*x/7 + 90/7 = 0. Calculate x.
-6, -5, -1, -1/4
Factor a**3 + 83*a**2 - 550*a - 1424.
(a - 8)*(a + 2)*(a + 89)
Factor 9*v**4 + 285*v**3 + 444*v**2 - 180*v.
3*v*(v + 2)*(v + 30)*(3*v - 1)
Determine l so that 2*l**5 - 46*l**4 - 102*l**3 + 46*l**2 + 100*l = 0.
-2, -1, 0, 1, 25
Find o such that 2*o**3 + 208*o**2 - 422*o + 212 = 0.
-106, 1
Factor 4*s**3 - 120*s**2 + 36*s + 2320.
4*(s - 29)*(s - 5)*(s + 4)
Factor -v**2/3 + 13*v/3 - 40/3.
-(v - 8)*(v - 5)/3
Find b such that 36*b**3 - 57948*b**2 + 38620*b - 6436 = 0.
1/3, 1609
Factor i**2 - 16*i - 36.
(i - 18)*(i + 2)
Solve 4*n**4 + 32*n**3 - 3104*n**2 - 12672*n + 627264 = 0.
-22, 18
Let 5*h**5 + 30*h**4 + 25*h**3 = 0. What is h?
-5, -1, 0
Factor -2*m**2/17 - 164*m/17 - 3362/17.
-2*(m + 41)**2/17
Suppose -5*b**4 - 880*b**3 - 39590*b**2 - 76560*b - 37845 = 0. What is b?
-87, -1
Factor 4*c**2 + 15*c - 54.
(c + 6)*(4*c - 9)
Find z, given that 5*z**5 - 1985*z**4 + 195990*z**3 + 207970*z**2 - 995995*z + 594015 = 0.
-3, 1, 199
Solve 2*b**5/3 - 76*b**4/3 - 328*b**3/3 - 112*b**2 = 0 for b.
-2, 0, 42
Factor -2*h**4 + 4*h**3 + 86*h**2 + 80*h.
-2*h*(h - 8)*(h + 1)*(h + 5)
Factor b**4 + 33*b**3 + 282*b**2 + 64*b - 1536.
(b - 2)*(b + 3)*(b + 16)**2
What is u in -4*u**5 + 40*u**4 - 52*u**3 - 112*u**2 + 112*u + 128 = 0?
-1, 2, 8
Determine z so that 7*z**5 - 19*z**4 - 13*z**3 + 19*z**2 + 6*z = 0.
-1, -2/7, 0, 1, 3
Suppose -5*u**4 + 60*u**3 - 55*u**2 = 0. What is u?
0, 1, 11
Determine g so that -g**3/4 + 39*g**2/4 - 36*g + 35 = 0.
2, 35
Find k such that -k**5 + 6*k**4 - 11*k**3 + 2*k**2 + 12*k - 8 = 0.
-1, 1, 2
Factor -5*p**2 + 65*p.
-5*p*(p - 13)
Let -s**4/8 + 3*s**3/8 + 25*s**2/8 + 21*s/8 = 0. Calculate s.
-3, -1, 0, 7
Suppose n**3 + 68*n**2 + 1156*n = 0. What is n?
-34, 0
Factor -2*l**3/7 + 12*l**2/7 + 50*l/7 + 36/7.
-2*(l - 9)*(l + 1)*(l + 2)/7
Suppose -3*o**2 - 128*o + 43 = 0. Calculate o.
-43, 1/3
Find g, given that -6627*g**4/5 - 10716*g**3 - 4524*g**2/5 - 96*g/5 = 0.
-8, -2/47, 0
Factor 26*o**3 + 866*o**2 + 1876*o + 496.
2*(o + 2)*(o + 31)*(13*o + 4)
Solve 5*x**3 - 1490*x**2 + 113925*x - 432180 = 0.
4, 147
Solve -r**3/7 + 152*r**2/7 - 1168*r/7 + 2304/7 = 0 for r.
4, 144
Factor c**3/3 + 8*c**2/3 - 59*c/3 + 26.
(c - 3)*(c - 2)*(c + 13)/3
Suppose -14*g**5 - 102*g**4 + 14*g**3 + 334*g**2 + 288*g + 56 = 0. Calculate g.
-7, -1, -2/7, 2
Factor 5*y**4 - 20*y**3 - 25*y**2 + 180*y - 180.
5*(y - 3)*(y - 2)**2*(y + 3)
Find t, given that -7*t**4 - 5*t**3 + 3558*t**2 + 6068*t - 2024 = 0.
-22, -2, 2/7, 23
Determine j so that 4*j**4/3 - 20*j**3 + 52*j**2 - 148*j/3 + 16 = 0.
1, 12
Determine h, given that 4*h**2 + 88*h + 484 = 0.
-11
Suppose -4*q**3 - 56*q**2 + 656*q - 1056 = 0. Calculate q.
-22, 2, 6
Factor 4*l**2 - 136*l.
4*l*(l - 34)
Find d, given that 4*d**2 - 36*d = 0.
0, 9
Factor -2*r**3/9 - 2*r**2/3 - 4*r/9.
-2*r*(r + 1)*(r + 2)/9
Determine c so that 4*c**3 + 580*c**2 + 1148*c + 572 = 0.
-143, -1
Determine a so that 2*a**4/5 + 36*a**3/5 + 24*a**2 - 80*a = 0.
-10, 0, 2
Factor -2*o**4/5 - 4*o**3/5 + 18*o**2/5 + 36*o/5.
-2*o*(o - 3)*(o + 2)*(o + 3)/5
Solve -m**3 - 784*m**2 + m + 784 = 0.
-784, -1, 1
Let -5*c**5 + 120*c**4 - 590*c**3 - 1560*c**2 - 845*c = 0. Calculate c.
-1, 0, 13
Let 4*v**3 - 68*v**2 + 56*v + 128 = 0. Calculate v.
-1, 2, 16
Let 3*h**3/4 - 33*h**2/4 - 87*h/4 + 117/4 = 0. Calculate h.
-3, 1, 13
Solve 5*g**2 - 20 = 0.
-2, 2
Suppose -4*y**4 - 236*y**3 - 3596*y**2 - 3364*y = 0. Calculate y.
-29, -1, 0
Let -2*d**2/9 - 116*d/9 + 1846/9 = 0. What is d?
-71, 13
Suppose 4*t**2 - 212*t = 0. What is t?
0, 53
Let -c**5/2 - 3*c**4/2 - c**3 + c**2 + 3*c/2 + 1/2 = 0. Calculate c.
-1, 1
Factor 4*q**3 + 132*q**2 - 21296.
4*(q - 11)*(q + 22)**2
Determine q, given that -q**3/7 - 60*q**2/7 - 275*q/7 = 0.
-55, -5, 0
Factor 2*p**2 - 1380*p + 238050.
2*(p - 345)**2
Factor -3*y**4/2 - 81*y**3 + 252*y**2 - 255*y + 171/2.
-3*(y - 1)**3*(y + 57)/2
Factor -3*t**3/8 + 111*t**2/4 + 1185*t/8.
-3*t*(t - 79)*(t + 5)/8
Find n, given that n**3/4 + 33*n**2/2 + 1089*n/4 = 0.
-33, 0
Solve -2*j**4/9 - 10*j**3/9 - 4*j**2/9 + 40*j/9 + 16/3 = 0.
-3, -2, 2
Find z, given that -2*z**2/13 + 106*z - 2748/13 = 0.
2, 687
What is m in 3*m**4 - 36*m**3 + 153*m**2 - 264*m + 144 = 0?
1, 3, 4
Solve -3*w**5 + 9*w**4 + 51*w**3 + 27*w**2 - 48*w - 36 = 0.
-2, -1, 1, 6
Factor -4*y**4 - 12*y**3 + 20*y**2 + 12*y - 16.
-4*(y - 1)**2*(y + 1)*(y + 4)
Factor -v**3 + 7*v**2/4 - v/2 - 1/4.
-(v - 1)**2*(4*v + 1)/4
Find u such that -5*u**4 + 130*u**3 - 240*u**2 = 0.
0, 2, 24
Solve -20*t**5 + 1228*t**4 - 19648*t**3 + 23264*t**2 + 29760*t - 14400 = 0.
-1, 2/5, 2, 30
Find x such that -3*x**4 - 288*x**3 - 7191*x**2 - 13254*x = 0.
-47, -2, 0
Solve 98*q**4 - 448*q**3 - 258*q**2 + 248*q - 40 = 0 for q.
-1, 2/7, 5
Factor -7*z**4/3 - 3*z**3.
-z**3*(7*z + 9)/3
Factor d**5 + 37*d**4 + 502*d**3 + 2862*d**2 + 4617*d - 8019.
(d - 1)*(d + 9)**3*(d + 11)
Determine a so that 2*a**2/7 + 8536*a/7 + 9107912/7 = 0.
-2134
Determine h so that -2*h**3/17 - 2*h**2 + 8*h/17 + 8 = 0.
-17, -2, 2
What is i in -2*i**3/5 - 1194*i**2/5 + 1196*i/5 = 0?
-598, 0, 1
Suppose m**2/4 - m/4 = 0. Calcu