.
-19, -2, -1
Solve 2*z**5 - 20*z**4 - 68*z**3 + 488*z**2 + 1794*z + 1260 = 0.
-3, -1, 7, 10
Determine s, given that -2*s**5 + 20*s**4 + 34*s**3 - 132*s**2 = 0.
-3, 0, 2, 11
Factor 65*x**4/4 + 515*x**3 + 4000*x**2 - 1280*x.
5*x*(x + 16)**2*(13*x - 4)/4
Suppose 3*q**5/7 - 438*q**4/7 + 1698*q**3/7 + 888*q**2/7 - 5085*q/7 - 3834/7 = 0. Calculate q.
-1, 3, 142
Factor 3*z**2 - 27*z.
3*z*(z - 9)
Determine l, given that -12*l**5 - 3792*l**4 - 295755*l**3 + 601977*l**2 - 378261*l + 75843 = 0.
-159, 1/2, 1
Factor 3*p**2/7 - 111*p/7 + 558/7.
3*(p - 31)*(p - 6)/7
What is a in -a**4 - 33*a**3 + 4*a**2 + 132*a = 0?
-33, -2, 0, 2
Factor 5*a**2/4 + 375*a.
5*a*(a + 300)/4
Suppose 3*l**4/7 - 6*l**3/7 - 33*l**2/7 + 36*l/7 = 0. What is l?
-3, 0, 1, 4
What is h in -4*h**4/3 + 46*h**3/3 + 28*h**2/3 - 46*h/3 - 8 = 0?
-1, -1/2, 1, 12
Factor -4*k**2 - 376*k - 3060.
-4*(k + 9)*(k + 85)
Find c, given that c**3/4 - c**2/4 - c + 1 = 0.
-2, 1, 2
Factor 9*g**5 - 75*g**4 + 88*g**3 - 28*g**2.
g**2*(g - 7)*(3*g - 2)**2
Factor -17*n**5/3 - 70*n**4/3 - 110*n**3/3 - 80*n**2/3 - 25*n/3 - 2/3.
-(n + 1)**4*(17*n + 2)/3
Factor 5*d**2 - 38860*d + 75504980.
5*(d - 3886)**2
Factor -2*z**2/3 + 2554*z.
-2*z*(z - 3831)/3
Let j**3 - 14*j**2 - 31*j - 16 = 0. What is j?
-1, 16
Suppose -z**2 - 214*z - 11449 = 0. Calculate z.
-107
Suppose d**3/4 - 138*d**2 + 75621*d/4 + 76729/2 = 0. What is d?
-2, 277
Factor 5*b**5 - 35*b**4.
5*b**4*(b - 7)
Let y**5 + 282*y**4 + 29678*y**3 + 1371152*y**2 + 22548393*y - 50823362 = 0. Calculate y.
-71, 2
Let -6*c**3/11 + 70*c**2/11 - 192*c/11 - 72/11 = 0. Calculate c.
-1/3, 6
Find y such that 3*y**3/2 + 10*y**2 + 23*y/2 - 5 = 0.
-5, -2, 1/3
Find m such that -3*m**3/5 + 138*m**2/5 - 1047*m/5 - 1188/5 = 0.
-1, 11, 36
Let -4*j**5/7 - 4*j**4 - 73*j**3/7 - 12*j**2 - 36*j/7 = 0. What is j?
-2, -3/2, 0
Factor x**5/3 - 2*x**3 - 8*x**2/3 - x.
x*(x - 3)*(x + 1)**3/3
Factor -t**3/3 + 14*t**2/3 - 49*t/3.
-t*(t - 7)**2/3
Let 2*q**5 - 2*q**4 - 12*q**3 = 0. Calculate q.
-2, 0, 3
Factor 2*p**2 - 52*p + 50.
2*(p - 25)*(p - 1)
Find u such that 49*u**5 - 1491*u**4 + 12856*u**3 - 21096*u**2 - 15344*u - 2352 = 0.
-2/7, 3, 14
Factor 3*r**2 + 120*r + 1200.
3*(r + 20)**2
Factor -2*l**3/7 - 4*l**2/7 + 6*l/7.
-2*l*(l - 1)*(l + 3)/7
Determine h, given that -h**3/7 - 76*h**2/7 + 492*h/7 = 0.
-82, 0, 6
Find a, given that -a**5 - 5*a**4 + 5*a**3 + 45*a**2 + 36*a = 0.
-4, -3, -1, 0, 3
What is h in 3*h**2/7 + 36*h/7 = 0?
-12, 0
Solve 16*z**3 - 924*z**2 - 2152*z - 480 = 0.
-2, -1/4, 60
Suppose 4*r**2 + 236*r + 232 = 0. What is r?
-58, -1
Determine z so that -2*z**3 + 118*z**2 - 1798*z + 1682 = 0.
1, 29
Factor p**5/7 - p**4.
p**4*(p - 7)/7
Find v such that -5*v**4/4 + 77*v**3/4 - 45*v**2/2 - 434*v + 176 = 0.
-4, 2/5, 8, 11
Factor 40*k**3 - 1355*k**2 - 170*k.
5*k*(k - 34)*(8*k + 1)
What is z in -3*z**5 - 402*z**4 - 13467*z**3 = 0?
-67, 0
What is v in -2*v**2/5 + 848*v/5 - 89888/5 = 0?
212
Factor -m**4 + 5*m**3 - 8*m**2 + 4*m.
-m*(m - 2)**2*(m - 1)
Find c such that -7*c**5/4 + c**4 + 143*c**3/4 + 15*c**2 = 0.
-4, -3/7, 0, 5
Factor -r**4/3 + 4*r**3 - 46*r**2/3 + 20*r - 25/3.
-(r - 5)**2*(r - 1)**2/3
Factor 2*k**4 - 6*k**3 - 50*k**2 + 150*k.
2*k*(k - 5)*(k - 3)*(k + 5)
Factor -5*y**2/2 - 195*y - 4225/2.
-5*(y + 13)*(y + 65)/2
Find s, given that -2*s**2 - 2006*s = 0.
-1003, 0
Factor -y**4/2 + 6*y**3 + 81*y**2 - 1458*y + 10935/2.
-(y - 9)**3*(y + 15)/2
Factor -9*a**3/7 - 33*a**2/7 - 24*a/7 + 12/7.
-3*(a + 2)**2*(3*a - 1)/7
Find m, given that -12*m**2/5 - 99*m/5 - 24/5 = 0.
-8, -1/4
Solve 5*j**5 - 40*j**4 - 30*j**3 + 200*j**2 + 305*j + 120 = 0.
-1, 3, 8
Factor -f**4/11 + f**3/11 + 3*f**2/11 - f/11 - 2/11.
-(f - 2)*(f - 1)*(f + 1)**2/11
Factor -2*m**2/7 - 2*m/7 + 12/7.
-2*(m - 2)*(m + 3)/7
Determine p, given that -5*p**3 - 4990*p**2 + 9995*p - 5000 = 0.
-1000, 1
What is h in -h**3/2 + h**2 + 66*h + 252 = 0?
-6, 14
Determine y so that 12*y**4 + 724*y**3 - 500*y**2 - 724*y + 488 = 0.
-61, -1, 2/3, 1
Find y such that 4*y**2/7 + y/7 - 60/7 = 0.
-4, 15/4
Suppose 2*l**3/9 + 22*l**2/9 + 70*l/9 + 50/9 = 0. Calculate l.
-5, -1
Let f**3/6 - f**2/2 = 0. Calculate f.
0, 3
Factor 2*s**3 + 24*s**2 - 446*s + 1380.
2*(s - 6)*(s - 5)*(s + 23)
Factor -2*o**2/11 + 886*o/11 - 3512/11.
-2*(o - 439)*(o - 4)/11
Let h**4/5 - 188*h**3/5 - 114*h**2 - 572*h/5 - 191/5 = 0. Calculate h.
-1, 191
Solve -2*l**2/3 + 2*l/3 + 4 = 0.
-2, 3
Suppose i**2/6 - i + 4/3 = 0. What is i?
2, 4
Find g such that -2*g**2/7 - 6*g/7 - 4/7 = 0.
-2, -1
What is k in -k**4/2 + k**3/2 + 10*k**2 = 0?
-4, 0, 5
Find t such that 14*t**3/5 - 1528*t**2 + 1041222*t/5 + 298116/5 = 0.
-2/7, 273
Factor 5*j**3/4 - 3675*j**2/4 + 1835*j/2.
5*j*(j - 734)*(j - 1)/4
Suppose 2*c**4/13 + 36*c**3/13 + 66*c**2/13 + 32*c/13 = 0. Calculate c.
-16, -1, 0
Find j such that -2*j**4/7 + 40*j**3/7 + 86*j**2/7 + 44*j/7 = 0.
-1, 0, 22
Factor i**2/2 - 178*i + 15842.
(i - 178)**2/2
Factor 4*l**3 - 424*l**2 + 836*l - 416.
4*(l - 104)*(l - 1)**2
Let 3*m**3/2 + 51*m**2/2 + 120*m + 150 = 0. Calculate m.
-10, -5, -2
Factor 5*p**3 - 23340*p**2 + 36317040*p - 18836438080.
5*(p - 1556)**3
Factor -q**3 - 284*q**2 - 20445*q - 39762.
-(q + 2)*(q + 141)**2
Factor -a**2 - 283*a + 284.
-(a - 1)*(a + 284)
Suppose -4*c**2/7 - 92*c/7 - 64 = 0. What is c?
-16, -7
Factor 2*m**3/17 - 428*m**2/17 + 50*m - 424/17.
2*(m - 212)*(m - 1)**2/17
Suppose 8*d**5 - 42*d**4 - 55*d**3 + 117*d**2 - 16*d - 12 = 0. What is d?
-2, -1/4, 1/2, 1, 6
Solve 2*a**2 - 22*a - 24 = 0.
-1, 12
Factor 8*s**2/9 - 106*s/3 - 80/9.
2*(s - 40)*(4*s + 1)/9
Let -170*q**3/3 - 58*q**2 - 4*q/3 = 0. What is q?
-1, -2/85, 0
Factor 4*w**3 + 16*w**2 + 12*w.
4*w*(w + 1)*(w + 3)
What is j in -4*j**5/5 - 8*j**4 - 20*j**3 + 16*j**2 + 64*j - 256/5 = 0?
-4, 1
Factor -m**3/9 - m**2/9 + 10*m/9 - 8/9.
-(m - 2)*(m - 1)*(m + 4)/9
Let 2*z**2/15 + 244*z/15 + 242/15 = 0. What is z?
-121, -1
Factor 2*c**5 + 28*c**4 + 48*c**3.
2*c**3*(c + 2)*(c + 12)
Solve -3*f**3/4 + 13*f**2/2 + 165*f/4 + 13 = 0.
-4, -1/3, 13
Factor b**2/2 + 3*b/2 - 5.
(b - 2)*(b + 5)/2
Suppose 5*c**3 + 205*c**2 + 550*c - 760 = 0. What is c?
-38, -4, 1
Find x, given that 3*x**4 + 132*x**3 + 1887*x**2 + 8670*x = 0.
-17, -10, 0
Let y**4/7 + 2*y**3 - y**2/7 - 2*y = 0. Calculate y.
-14, -1, 0, 1
What is t in 1922*t**3 + 558*t**2 - 1680*t - 800 = 0?
-20/31, 1
Solve -14*a**5 - 12*a**4 + 44*a**3 + 8*a**2 - 30*a + 4 = 0 for a.
-2, -1, 1/7, 1
Let 4*r**5 + 300*r**4 + 876*r**3 + 868*r**2 + 288*r = 0. What is r?
-72, -1, 0
Determine r, given that 10*r**2 + 178*r/3 - 4 = 0.
-6, 1/15
Determine y, given that -2*y**4/7 + 8*y**2/7 = 0.
-2, 0, 2
Suppose -2*z**3 + 54*z**2 + 114*z + 58 = 0. What is z?
-1, 29
Factor -t**4/2 - 3*t**3/4 + 3*t**2/4 + t/2.
-t*(t - 1)*(t + 2)*(2*t + 1)/4
Factor a**4/7 - 16*a**3/7 + 96*a**2/7 - 256*a/7 + 256/7.
(a - 4)**4/7
Find c such that -24*c**2 + 44*c - 20 = 0.
5/6, 1
Factor -j**3 - 11*j**2 + 56*j - 60.
-(j - 2)**2*(j + 15)
Factor 4*v**3 - 220*v**2 + 768*v + 2448.
4*(v - 51)*(v - 6)*(v + 2)
Solve 2*w**5 - 28*w**4 - 62*w**3 - 32*w**2 = 0 for w.
-1, 0, 16
Factor -3*d**3/4 + 9*d**2/2 - 27*d/4 + 3.
-3*(d - 4)*(d - 1)**2/4
Factor -8*u**2 + 2072*u - 134162.
-2*(2*u - 259)**2
Suppose -7*k**5/3 - 128*k**4/3 - 257*k**3 - 1582*k**2/3 - 392*k/3 = 0. Calculate k.
-7, -4, -2/7, 0
Determine q, given that 4*q**5/7 + 6*q**4/7 - 16*q**3/7 - 10*q**2/7 + 24*q/7 - 8/7 = 0.
-2, 1/2, 1
Let u**3/8 - 9*u**2/2 + 81*u/2 = 0. What is u?
0, 18
What is r in -2*r**5 + 20*r**4 - 26*r**3 - 64*r**2 + 136*r - 64 = 0?
-2, 1, 2, 8
Solve 262*a**2 + 266*a + 4 = 0.
-1, -2/131
Factor -c**4/7 + 12*c**3/7 - 36*c**2/7 + 32*c/7.
-c*(c - 8)*(c - 2)**2/7
Factor 2*j**2 - 18*j - 140.
2*(j - 14)*(j + 5)
Suppose s**3 - 2*s**2 - 8*s = 0. What is s?
-2, 0, 4
Factor p**2/4 + 334*p.
p*(p + 1336)/4
Factor 48050*r**3/17 - 96720*r**2/17 + 1242*r/17 - 4/17.
2*(r - 2)*(155*r - 1)**2/17
Suppose -k**4/2 + 7*k**3/2 - 9*k**2/2 - 7*k/2 + 5 = 0. Calculate k.
-1, 1, 2, 5
Determine j, given that 3*j**5 - 42*j**4 + 195*j**3 - 300*j**2 = 0.
0, 4, 5
Factor -i**5/5 + 2*i**4/5 - 2*i**2/5 + i/5.
-i*(i - 1)**3*(i + 1)/5
Suppose -2*n**4/5 + 58*n**3/5 - 22*n**2 + 54*n/5 = 0. Calculate n.
0, 1, 27
Factor -5*k**5 - 185*k**4 + 1680*k**3 - 5240*k**2 + 7120*k - 3600.
-5*(k - 2)**4*(k + 45)
Find g such that -g**5/4 - 19*g**4/2 - 73*g**3/4 + 265*g**2 - 517*g + 28