 12.
-(q + 6)*(7*q + 2)
Factor 6*p**5 - 13*p**4 + 8*p**3 - p**2.
p**2*(p - 1)**2*(6*p - 1)
Solve -2*m**3/15 + 28*m**2/15 - 98*m/15 = 0.
0, 7
Factor -k**5/4 + 5*k**4/4 + 9*k**3/4 - 13*k**2/4 - 7*k - 3.
-(k - 6)*(k - 2)*(k + 1)**3/4
Let 36*f**5 + 72*f**4 + 8*f**3 - 64*f**2 - 44*f - 8 = 0. Calculate f.
-1, -2/3, -1/3, 1
Find b, given that 20*b**3 - 16*b**2/3 - 208*b/3 = 0.
-26/15, 0, 2
Determine k so that -55*k**4 + 240*k**3 + 1600*k**2 = 0.
-40/11, 0, 8
Factor -274*o**2/5 - 1922*o/5 - 28/5.
-2*(o + 7)*(137*o + 2)/5
Factor -2*q**2 + 146*q + 300.
-2*(q - 75)*(q + 2)
Let 3*z**4/8 - 9*z**3/8 + 3*z**2/8 + 9*z/8 - 3/4 = 0. Calculate z.
-1, 1, 2
Factor 20*r**4 + 2100*r**3 + 2085*r**2 + 520*r.
5*r*(r + 104)*(2*r + 1)**2
Determine m, given that 8*m**2 + 164*m - 84 = 0.
-21, 1/2
Factor -2*z**2/13 - 32*z/13 - 30/13.
-2*(z + 1)*(z + 15)/13
Suppose 2*g**2/3 - 144*g + 7776 = 0. Calculate g.
108
Factor -s**5 + 17*s**4 - 56*s**3 + 52*s**2.
-s**2*(s - 13)*(s - 2)**2
Suppose v**5/4 - 7*v**4/4 + 15*v**3/4 - 13*v**2/4 + v = 0. Calculate v.
0, 1, 4
Suppose -5*f**4 - 3915*f**3 - 1021815*f**2 - 88897905*f = 0. What is f?
-261, 0
Factor -2*c**3/13 - 14*c**2/13 + 56*c/13 - 40/13.
-2*(c - 2)*(c - 1)*(c + 10)/13
Factor -q**3/5 + 129*q**2/5 + 26*q.
-q*(q - 130)*(q + 1)/5
Factor -3*o**5 - 60*o**4 - 396*o**3 - 960*o**2 - 768*o.
-3*o*(o + 2)**2*(o + 8)**2
Solve -5*u**2 + 2650*u - 351125 = 0.
265
Determine w so that 105*w**4 + 327*w**3 + 234*w**2 - 12*w - 24 = 0.
-2, -1, -2/5, 2/7
Factor -2*t**4 + 464*t**3 - 40368*t**2 + 1560896*t - 22632992.
-2*(t - 58)**4
Find j, given that 2*j**2/7 - 122*j/7 - 124/7 = 0.
-1, 62
Determine d so that -d**4/4 + 61*d**3/4 - 44*d**2 + 29*d = 0.
0, 1, 2, 58
Factor -i**3/4 - 28*i**2 + 227*i/4 - 57/2.
-(i - 1)**2*(i + 114)/4
Determine t, given that -2*t**2/5 + 122*t/5 + 1752/5 = 0.
-12, 73
Suppose n**5/7 - 3*n**4 + 152*n**3/7 - 452*n**2/7 + 576*n/7 - 256/7 = 0. What is n?
1, 2, 8
Determine j, given that j**2/3 + 676*j/3 + 114244/3 = 0.
-338
Let -5*n**3/3 - 6*n**2 - 4*n + 8/3 = 0. Calculate n.
-2, 2/5
Solve -8*v**4 - 4770*v**3 - 711624*v**2 - 177608*v = 0 for v.
-298, -1/4, 0
Factor 64*m**4/7 - 528*m**3/7 - 447*m**2/7 + 136*m/7 - 9/7.
(m - 9)*(m + 1)*(8*m - 1)**2/7
Factor g**2/6 - 15*g/2 + 100/3.
(g - 40)*(g - 5)/6
Factor -5*n**4 + 70*n**3 + 320*n**2 - 5830*n + 5445.
-5*(n - 11)**2*(n - 1)*(n + 9)
Factor 4*x**2 + 5744*x + 2062096.
4*(x + 718)**2
Factor -c**3/2 - 10*c**2 + 23*c/2 + 21.
-(c - 2)*(c + 1)*(c + 21)/2
Factor -32*n**2/11 + 62*n/11 + 4/11.
-2*(n - 2)*(16*n + 1)/11
Determine y, given that -y**5 + 6*y**4 + 15*y**3 + 8*y**2 = 0.
-1, 0, 8
Factor 3*y**2 - 144*y + 1728.
3*(y - 24)**2
Find j, given that -3*j**2 + 2916*j - 708588 = 0.
486
Let -2*i**3 + 22*i**2/9 - 4*i/9 = 0. What is i?
0, 2/9, 1
Find r, given that 3*r**3/2 + 114*r**2 - 234*r = 0.
-78, 0, 2
Find g such that -3*g**2 - 15*g + 1500 = 0.
-25, 20
Solve 4*x**3/5 + 124*x**2/5 + 296*x/5 - 224 = 0.
-28, -5, 2
Factor 5*c**4 + 145*c**3 - 465*c**2 + 475*c - 160.
5*(c - 1)**3*(c + 32)
Factor q**4 - 4*q**3 - 2*q**2 + 12*q + 9.
(q - 3)**2*(q + 1)**2
What is q in q**2/4 + 119*q/4 = 0?
-119, 0
Factor 2*f**3 - 8*f**2 + 2*f + 12.
2*(f - 3)*(f - 2)*(f + 1)
Factor g**3 + 57*g**2 - 981*g + 923.
(g - 13)*(g - 1)*(g + 71)
Find f, given that -18*f**3 + 642*f**2 + 880*f + 296 = 0.
-2/3, 37
Factor 2*b**4/7 - 76*b**3/7 - 90*b**2.
2*b**2*(b - 45)*(b + 7)/7
Factor 3*x**3/5 + 111*x**2 + 1101*x/5 + 549/5.
3*(x + 1)**2*(x + 183)/5
Find m such that m**4/4 - m**3/2 + m/2 - 1/4 = 0.
-1, 1
Factor m**3 + 210*m**2 + 14700*m + 343000.
(m + 70)**3
Factor 3*a**5 - 36*a**4 + 114*a**3 - 36*a**2 - 189*a.
3*a*(a - 7)*(a - 3)**2*(a + 1)
Suppose 3*h**2/4 + 51*h/2 - 2601/4 = 0. What is h?
-51, 17
Factor n**4/3 + 4*n**3/3 - 2*n**2 - 4*n/3 + 5/3.
(n - 1)**2*(n + 1)*(n + 5)/3
Suppose -y**2 - 14*y - 45 = 0. What is y?
-9, -5
Factor -2*p**2/5 - 232*p/5.
-2*p*(p + 116)/5
Let 35*f**5 + 10*f**4 - 105*f**3 + 40*f**2 + 20*f = 0. Calculate f.
-2, -2/7, 0, 1
Find a such that -3*a**3/4 + 171*a**2/4 + 363*a/4 - 531/4 = 0.
-3, 1, 59
Factor -h**4 + 1206*h**3 - 363609*h**2.
-h**2*(h - 603)**2
Find s such that s**3/3 + 74*s**2/3 + 48*s = 0.
-72, -2, 0
Factor 7*k**4/6 - 41*k**3/3 + 97*k**2/2 - 130*k/3 - 50/3.
(k - 5)**2*(k - 2)*(7*k + 2)/6
Suppose 2*b**2/3 - 500*b + 93750 = 0. Calculate b.
375
Let -3*b**5 + 249*b**4 - 7590*b**3 + 100656*b**2 - 508032*b + 414720 = 0. What is b?
1, 10, 24
Factor -s**3/3 - 40*s**2/3 + 83*s/3 - 14.
-(s - 1)**2*(s + 42)/3
Let -5*b**4 + 30*b**3 + 35*b**2 = 0. Calculate b.
-1, 0, 7
Factor -l**5 - 15*l**4 - 67*l**3 - 129*l**2 - 112*l - 36.
-(l + 1)**2*(l + 2)**2*(l + 9)
What is l in -3*l**2 + 1602*l - 213867 = 0?
267
Find g, given that 2*g**5/9 + 16*g**4/9 - 8*g**3/3 - 44*g**2/9 + 86*g/9 - 4 = 0.
-9, -2, 1
Factor -2*d**2 - 732*d - 66978.
-2*(d + 183)**2
Find s, given that -21*s**3/4 - 19*s**2/4 + s/2 = 0.
-1, 0, 2/21
Let -5*y**4 + 40*y**3 - 110*y**2 + 120*y - 45 = 0. What is y?
1, 3
Determine d, given that -5*d**3 + 140*d**2 - 695*d - 840 = 0.
-1, 8, 21
Determine o, given that -21*o**3/4 + 363*o**2/4 - 246*o + 63 = 0.
2/7, 3, 14
Solve -5*w**3 + 29925*w**2 - 59700375*w + 39700749375 = 0 for w.
1995
Factor 3*s**5 - 9*s**4 - 9*s**3 + 33*s**2 - 18*s.
3*s*(s - 3)*(s - 1)**2*(s + 2)
Factor m**2/2 + 24*m - 49/2.
(m - 1)*(m + 49)/2
Suppose 10*h**5 + 55*h**4 - 120*h**3 - 95*h**2 + 70*h = 0. What is h?
-7, -1, 0, 1/2, 2
Solve -2*j**5 - 8*j**4 + 34*j**3 + 64*j**2 - 248*j + 160 = 0 for j.
-5, -4, 1, 2
Factor n**4/5 - 8*n**3/5 + 23*n**2/5 - 28*n/5 + 12/5.
(n - 3)*(n - 2)**2*(n - 1)/5
Factor w**4/3 + w**3/3 - w**2 - 5*w/3 - 2/3.
(w - 2)*(w + 1)**3/3
Factor 2*u**2 - 18.
2*(u - 3)*(u + 3)
Determine n, given that 9*n**4 - 51*n**3 - 18*n**2 + 288*n + 96 = 0.
-2, -1/3, 4
Factor -2*s**3/17 - 2826*s**2/17 - 1331046*s/17 - 208974222/17.
-2*(s + 471)**3/17
Let -2*v**5/7 + 6*v**4/7 - 6*v**3/7 + 2*v**2/7 = 0. Calculate v.
0, 1
Factor -4*c**5 - 12*c**4 - 8*c**3.
-4*c**3*(c + 1)*(c + 2)
Let -126*i**4 - 1105*i**3 - 2257*i**2 + 598*i + 40 = 0. What is i?
-5, -4, -1/18, 2/7
Solve -a**2/3 + 8*a + 52/3 = 0.
-2, 26
Factor 3*l**4 + 42*l**3 - 93*l**2 + 48*l.
3*l*(l - 1)**2*(l + 16)
Factor z**2/2 - 133*z + 17689/2.
(z - 133)**2/2
Find l, given that 486*l**5/19 + 3294*l**4/19 - 6222*l**3/19 + 818*l**2/19 + 1424*l/19 + 200/19 = 0.
-25/3, -2/9, 1
Solve -o**3/11 - 140*o**2/11 + 283*o/11 - 142/11 = 0.
-142, 1
Factor 32*g**3 + 92*g**2 + 88*g + 28.
4*(g + 1)**2*(8*g + 7)
What is x in -2*x**3/5 - 266*x**2/5 = 0?
-133, 0
Factor -j**4 - 9*j**3 + 11*j**2 + 9*j - 10.
-(j - 1)**2*(j + 1)*(j + 10)
Determine w, given that -2*w**4 + 110*w**3 - 702*w**2 + 1458*w - 864 = 0.
1, 3, 48
Solve -3*m**2 - 927*m = 0 for m.
-309, 0
Factor 14*h**4 - 130*h**3 - 104*h**2 + 40*h.
2*h*(h - 10)*(h + 1)*(7*h - 2)
Factor -14*x**2/11 - 282*x/11 + 296/11.
-2*(x - 1)*(7*x + 148)/11
Solve -4*o**4/9 + 2722*o**3/9 + 758*o**2 + 5462*o/9 + 1366/9 = 0.
-1, -1/2, 683
Solve 21*g**4 + 75*g**3 + 99*g**2 + 57*g + 12 = 0 for g.
-1, -4/7
Factor 5*m**4 - 555*m**3 + 20535*m**2 - 253265*m.
5*m*(m - 37)**3
Factor g**5/5 + 2*g**4/5 + g**3/5.
g**3*(g + 1)**2/5
Factor 3*f**2/8 - 21*f/8 + 9/2.
3*(f - 4)*(f - 3)/8
Factor -2*j**5/15 - 4*j**4/5 - 8*j**3/5 - 4*j**2/3 - 2*j/5.
-2*j*(j + 1)**3*(j + 3)/15
Let -16*o**3 + 14072*o**2 + 7039*o + 880 = 0. What is o?
-1/4, 880
Determine i, given that -15*i**5 - 70*i**4 + 350*i**3 + 1160*i**2 - 2775*i - 2250 = 0.
-5, -2/3, 3
Factor -5*l**2 - 485*l - 950.
-5*(l + 2)*(l + 95)
Let 3*h**5 + 6*h**4 - 57*h**3 - 96*h**2 + 252*h + 432 = 0. Calculate h.
-4, -2, 3
Solve -k**2/10 - 51*k/10 - 5 = 0.
-50, -1
Solve 2*l**2 - 232*l = 0.
0, 116
What is a in 3*a**3/7 + 129*a**2/7 + 1086*a/7 + 960/7 = 0?
-32, -10, -1
Factor -m**2/9 + 100*m/9 - 2500/9.
-(m - 50)**2/9
Let -75*u**2 + 1056*u/7 - 12/7 = 0. Calculate u.
2/175, 2
Let -4*f**5/7 - 156*f**4/7 - 20*f**3 + 460*f**2/7 + 144*f/7 - 304/7 = 0. Calculate f.
-38, -2, -1, 1
Determine q so that q**3/4 - 5*q**2/4 + 2*q - 1 = 0.
1, 2
Find j such that j**3/10 - 11*j**2/10 - 6*j/5 = 0.
-1, 0, 12
Factor -4*n**3 + 12*n**2 + 96*n + 112.
-4*(n - 7)*(n + 2)**2
Let 2*q**4 - 10*q**3 - 18*q**2 + 162*q - 216 = 0. Calculate q.
-4, 3
Let 2*l**2/7 - 34*l/7 - 76/7 = 0. Calculate l.
-2, 19
Find o, given that -10*o**3/13 - 358*o**2/13 - 278*o/13 + 70/13 = 0.
-35, -1,