/5 - 12*y - 469/5.
(y - 67)*(y + 7)/5
Factor -y**3/10 + 15*y**2/2 - 276*y/5 + 536/5.
-(y - 67)*(y - 4)**2/10
Factor 5*a**4 + 50*a**3 - 5*a**2 - 50*a.
5*a*(a - 1)*(a + 1)*(a + 10)
Find u such that 13*u**5/2 + 107*u**4/4 + 21*u**3/4 - 107*u**2/4 - 47*u/4 = 0.
-47/13, -1, -1/2, 0, 1
Find b, given that b**3/4 - b**2 - 19*b/4 - 7/2 = 0.
-2, -1, 7
Factor -2*t**3/3 - 74*t**2/3 - 646*t/3 + 722/3.
-2*(t - 1)*(t + 19)**2/3
Factor -4225*c**2/3 - 260*c/3 - 4/3.
-(65*c + 2)**2/3
Let -6*f**5/5 - 174*f**4/5 - 1626*f**3/5 - 5346*f**2/5 - 1296*f - 2592/5 = 0. Calculate f.
-12, -3, -1
Factor -3*q**5 - 41*q**4 - 26*q**3.
-q**3*(q + 13)*(3*q + 2)
Factor 3*i**5/5 - 18*i**4/5 + 36*i**3/5 - 24*i**2/5.
3*i**2*(i - 2)**3/5
Factor -i**2/2 + 3*i/2.
-i*(i - 3)/2
Find r, given that -52*r**4 - 632*r**3 - 2592*r**2 - 3712*r - 512 = 0.
-4, -2/13
Determine r, given that 2*r**5 + 22*r**4/3 - 8*r**3 - 24*r**2 - 32*r/3 = 0.
-4, -1, -2/3, 0, 2
Determine j, given that -2*j**4/3 + 4*j**3 - 8*j**2 + 20*j/3 - 2 = 0.
1, 3
Determine y so that y**3/6 - 57*y**2 + 9747*y/2 = 0.
0, 171
Factor 5*s**4 - 125*s**3 + 120*s**2.
5*s**2*(s - 24)*(s - 1)
What is w in w**4/2 - 9*w**3 - 10*w**2 + 9*w + 19/2 = 0?
-1, 1, 19
Suppose -4*w**2 - 344*w + 704 = 0. What is w?
-88, 2
Factor l**3 - 55*l**2 + 728*l + 784.
(l - 28)**2*(l + 1)
Factor -5*t**3 + 545*t**2 + 1105*t + 555.
-5*(t - 111)*(t + 1)**2
Determine q, given that q**3 - 1086*q**2 + 393132*q - 47437928 = 0.
362
Find p such that 2*p**3 + 474*p**2 + 942*p + 470 = 0.
-235, -1
Solve -3*h**2 + 312*h - 8112 = 0.
52
Factor -d**4/9 - 2*d**3/9 + d**2/3 + 8*d/9 + 4/9.
-(d - 2)*(d + 1)**2*(d + 2)/9
Determine w so that -11*w**3 - 7*w**2 + 4*w = 0.
-1, 0, 4/11
Factor 2*a**2/9 - 68*a/3 + 578.
2*(a - 51)**2/9
Suppose -u**2/7 - 8*u - 112 = 0. Calculate u.
-28
Determine y so that 2*y**3 - 144*y**2 + 2592*y = 0.
0, 36
Factor 2*j**3 - 7722*j**2 + 9938214*j - 4263493806.
2*(j - 1287)**3
Factor 54*y**4 + 536*y**3 + 824*y**2 - 64*y.
2*y*(y + 2)*(y + 8)*(27*y - 2)
Let d**3/2 - 3237*d**2/2 - 1619*d = 0. Calculate d.
-1, 0, 3238
Let -50*a**3/11 + 440*a**2 - 3848*a/11 + 768/11 = 0. Calculate a.
2/5, 96
Factor 28*z**3/5 + 24*z**2/5 - 4*z/5.
4*z*(z + 1)*(7*z - 1)/5
Let -g**2 + 39*g - 380 = 0. What is g?
19, 20
Factor m**3/7 - 3198*m**2/7 + 2556801*m/7.
m*(m - 1599)**2/7
Suppose 2*w**3/15 + 152*w**2/15 - 94*w/3 + 316/15 = 0. Calculate w.
-79, 1, 2
Determine f so that f**4 + 417*f**3 - 842*f**2 - 1668*f + 3352 = 0.
-419, -2, 2
Solve 4*n**2 + 72*n - 252 = 0.
-21, 3
Determine i so that 3*i**3/7 - 18*i**2/7 + 36*i/7 - 24/7 = 0.
2
Solve -2*r**4 + 38*r**3/7 + 362*r**2/7 + 394*r/7 + 12 = 0.
-3, -1, -2/7, 7
Solve -r**4/4 + 5*r**3 - 13*r**2 - 120*r - 144 = 0 for r.
-2, 12
Factor -2*l**3 - 1298*l**2.
-2*l**2*(l + 649)
Solve -4*p**2 + 3196*p - 3192 = 0 for p.
1, 798
Determine l so that l**3 - 212*l**2 + 11445*l - 22050 = 0.
2, 105
Suppose -4*z**3 - 980*z**2 + 2968*z - 1984 = 0. Calculate z.
-248, 1, 2
Solve -2*m**5 - 66*m**4/7 + 230*m**3/7 + 10*m**2/7 - 216*m/7 + 8 = 0.
-7, -1, 2/7, 1, 2
What is i in 4*i**5 + 8*i**4 - 60*i**3 - 144*i**2 = 0?
-3, 0, 4
Determine b, given that -b**4/5 - 26*b**3/5 - 17*b**2/5 + 2312*b/5 = 0.
-17, 0, 8
Suppose -5*k**5 - 98*k**4 + 260*k**3 - 88*k**2 = 0. Calculate k.
-22, 0, 2/5, 2
Factor -a**2 - 22*a + 48.
-(a - 2)*(a + 24)
What is v in 2*v**5/3 + 2*v**4/3 - 76*v**3/3 + 248*v**2/3 - 304*v/3 + 128/3 = 0?
-8, 1, 2
Factor 2*y**2/5 + 14*y/5 + 12/5.
2*(y + 1)*(y + 6)/5
Factor -3*t**3/4 + 9*t**2 - 27*t + 24.
-3*(t - 8)*(t - 2)**2/4
Find p, given that 2*p**5/13 + 158*p**4/13 + 3350*p**3/13 + 9122*p**2/13 + 8816*p/13 + 2888/13 = 0.
-38, -1
Factor h**2/4 + 167*h/2.
h*(h + 334)/4
What is i in 2*i**5/5 - 14*i**4/5 + 2*i**3 + 62*i**2/5 - 12*i = 0?
-2, 0, 1, 3, 5
Factor -2*j**3/9 - 124*j**2/9 - 358*j/9 - 236/9.
-2*(j + 1)*(j + 2)*(j + 59)/9
Let f**2/5 + 144*f/5 = 0. Calculate f.
-144, 0
Find s such that 4*s**2 + 16*s + 16 = 0.
-2
Factor 2*r**3/7 + 244*r**2/7 + 7192*r/7 - 15376/7.
2*(r - 2)*(r + 62)**2/7
Factor 3*f**3/2 + 87*f**2/2 + 219*f + 276.
3*(f + 2)*(f + 4)*(f + 23)/2
Factor 2*b**3/11 - 1250*b**2/11 + 194686*b/11 + 195938/11.
2*(b - 313)**2*(b + 1)/11
Factor -2*o**3/7 + 24*o**2/7 - 58*o/7 + 36/7.
-2*(o - 9)*(o - 2)*(o - 1)/7
Factor -2*x**4/11 - 18*x**3/11 + 42*x**2/11 - 2*x.
-2*x*(x - 1)**2*(x + 11)/11
Determine o so that -5*o**3/3 + 10*o**2 + 185*o/3 + 50 = 0.
-3, -1, 10
Find y such that 8*y**5/5 - 134*y**4 + 498*y**3/5 = 0.
0, 3/4, 83
What is s in 2*s**3 - 184*s**2 + 360*s = 0?
0, 2, 90
Determine d so that 5*d**5 + 5*d**4 - 10*d**3 = 0.
-2, 0, 1
Let -2*o**2/5 + 7852*o/5 - 7706738/5 = 0. What is o?
1963
Find c such that 4*c**5/7 + 48*c**4/7 + 204*c**3/7 + 352*c**2/7 + 192*c/7 = 0.
-4, -3, -1, 0
Suppose 4*n**5 + 36*n**4 + 116*n**3 + 172*n**2 + 120*n + 32 = 0. Calculate n.
-4, -2, -1
Suppose -20*o**3/3 + 209*o**2/3 = 0. What is o?
0, 209/20
Factor -2*g**2 + 588*g - 586.
-2*(g - 293)*(g - 1)
Find w such that 3*w**3 + 246*w**2 - 2685*w + 6900 = 0.
-92, 5
Factor -12*r**2 - 92*r + 32.
-4*(r + 8)*(3*r - 1)
Let -3*k**3/8 + 87*k**2/8 - 75*k/2 = 0. What is k?
0, 4, 25
Factor -3*n**4/2 + 315*n**3/2 + 963*n**2/2 + 969*n/2 + 162.
-3*(n - 108)*(n + 1)**3/2
Factor 2*t**3/9 - 134*t**2/3 - 90*t - 406/9.
2*(t - 203)*(t + 1)**2/9
Factor -2*t**2/3 - 3*t + 5/3.
-(t + 5)*(2*t - 1)/3
Let -p**3/3 - 45*p**2 - 1625*p - 21125/3 = 0. What is p?
-65, -5
Find r, given that -12*r**5/5 + 52*r**4/5 + 36*r**3 - 68*r**2 - 168*r/5 + 288/5 = 0.
-3, -1, 1, 4/3, 6
Suppose -125*f**5 - 675*f**4 + 3570*f**3 - 4160*f**2 + 1440*f = 0. What is f?
-9, 0, 4/5, 2
Determine x so that 3*x**5 - 93*x**4 + 822*x**3 - 1236*x**2 - 4200*x + 4704 = 0.
-2, 1, 4, 14
Suppose -48*x**5 - 88*x**4 + 141*x**3 + 343*x**2 + 204*x + 36 = 0. What is x?
-2, -3/4, -1/3, 2
Factor -3*q**5/5 - 18*q**4/5 + 21*q**3/5.
-3*q**3*(q - 1)*(q + 7)/5
Find j, given that -4*j**3 + 108*j - 216 = 0.
-6, 3
Find m such that 4*m**5/5 - 84*m**4/5 + 608*m**3/5 - 1952*m**2/5 + 576*m - 320 = 0.
2, 5, 10
Let -h**4/8 + 145*h**3/2 - 41759*h**2/4 - 42195*h/2 - 84681/8 = 0. Calculate h.
-1, 291
Factor r**3/9 + 7*r**2 + 377*r/3 + 4205/9.
(r + 5)*(r + 29)**2/9
Determine r, given that -r**5 + r**4 + 4*r**3 - 4*r**2 = 0.
-2, 0, 1, 2
Factor -2*x**4/3 - 4*x**3/3 + 42*x**2.
-2*x**2*(x - 7)*(x + 9)/3
Solve -21*a**3/4 + 1023*a**2/4 + 147*a/2 = 0.
-2/7, 0, 49
What is o in -2*o**2/3 - 10*o - 28/3 = 0?
-14, -1
Determine m, given that 5*m**4 - 1045*m**3 + 1030*m**2 + 2080*m = 0.
-1, 0, 2, 208
Factor 5*n**2 + 100*n + 495.
5*(n + 9)*(n + 11)
Suppose -135424*p**4/5 - 407008*p**3/5 - 273057*p**2/5 - 295*p - 2/5 = 0. Calculate p.
-2, -1, -1/368
Determine t, given that -t**4 - 134*t**3 - 6649*t**2 - 144720*t - 1166400 = 0.
-40, -27
Solve 2*h**3/3 + 50*h**2 + 98*h + 146/3 = 0.
-73, -1
What is g in -4*g**3 + 40*g**2 + 244*g - 280 = 0?
-5, 1, 14
Factor 3*b**2 - 174*b.
3*b*(b - 58)
Suppose -k**3/9 - 7*k**2/9 - 7*k/9 + 5/3 = 0. Calculate k.
-5, -3, 1
Factor -3*n**4/7 - 78*n**3/7 - 648*n**2/7 - 1458*n/7 + 2187/7.
-3*(n - 1)*(n + 9)**3/7
Find w such that 2*w**5/7 - 4*w**4/7 - 6*w**3/7 + 16*w**2/7 - 8*w/7 = 0.
-2, 0, 1, 2
Factor 2*n**2/9 - 64*n/9 + 170/3.
2*(n - 17)*(n - 15)/9
Find s such that -2*s**4 + 12*s**3 + 24*s**2 - 76*s + 42 = 0.
-3, 1, 7
Factor 2*g**3/15 + 8*g**2/15 - 2*g/3.
2*g*(g - 1)*(g + 5)/15
Determine r so that 5*r**2 + 90*r - 200 = 0.
-20, 2
What is c in 48*c**2/5 + 183*c + 57/5 = 0?
-19, -1/16
Factor 10*x**2/7 - 724*x/7 + 288/7.
2*(x - 72)*(5*x - 2)/7
Let -4*i**5 + 40*i**4 - 108*i**3 + 72*i**2 = 0. What is i?
0, 1, 3, 6
Determine a, given that -25*a**4 - 285*a**3 + 3515*a**2 - 1875*a - 1330 = 0.
-19, -2/5, 1, 7
Factor -4*v**4 - 240*v**3 - 3864*v**2 + 8464*v + 438012.
-4*(v - 9)*(v + 23)**3
Solve -4*c**5/3 + 16*c**4/3 - 20*c**3/3 + 8*c**2/3 = 0 for c.
0, 1, 2
Factor q**3 + 921*q**2 + 282747*q + 28934443.
(q + 307)**3
Solve -i**4 - 14675*i**3 - 71780316*i**2 - 117001905296*i + 117073700288 = 0.
-4892, 1
Determine y, given that -y**3/4 - 31*y**2/4 - 55*y/4 + 87/4 = 0.
-29, -3, 1
Factor 5*f**3 + 405*f**2 - 1680*f + 1700.
5*(f - 2)**2*(f + 85)
Determine t, given that -t**3/6 - 247*t**2/6 + 124*t/3 = 0.
-248, 0, 1
Factor -3*i**2/4 + 7395*i/2 - 18228675/4.
-3*(i - 2465)**2/4
Factor 5*w**2/3 - 60.
5*(w - 6)*(w + 6)/3
Let -i**4 - 1312*i**3 - 3929*i**2 - 2618*i = 0. Calculat