5*(i - 4)*(8*i - 1)
Factor 5*n**5 + 50*n**4 + 105*n**3 - 180*n**2 - 540*n.
5*n*(n - 2)*(n + 3)**2*(n + 6)
Factor -3*x**4/5 + 27*x**3/5 - 78*x**2/5 + 72*x/5.
-3*x*(x - 4)*(x - 3)*(x - 2)/5
Factor 5*m**3 - 1840*m**2 - 20*m + 7360.
5*(m - 368)*(m - 2)*(m + 2)
Let 2*q**2/15 + 18*q/5 + 52/15 = 0. Calculate q.
-26, -1
Factor 6*k**2 - 38*k/3 + 20/3.
2*(k - 1)*(9*k - 10)/3
Factor -2*v**2/11 + 156*v/11.
-2*v*(v - 78)/11
Find c such that c**4 - 511*c**3 - 1539*c**2 - 1541*c - 514 = 0.
-1, 514
Determine u, given that -9*u**5/7 + 138*u**4/7 - 598*u**3/7 + 436*u**2/7 + 73*u + 14 = 0.
-1/3, 2, 7
Factor 4*g**3/5 - 504*g**2/5 + 19968*g/5 - 237952/5.
4*(g - 52)**2*(g - 22)/5
Factor 3*l**2 - 612*l + 1212.
3*(l - 202)*(l - 2)
Factor 2*t**4/3 - 2*t**3/3 - 20*t**2/3 - 16*t/3.
2*t*(t - 4)*(t + 1)*(t + 2)/3
Factor 2*n**3/7 - 38*n**2/7 + 152*n/7 - 24.
2*(n - 14)*(n - 3)*(n - 2)/7
Factor -2*b**4/5 + 2*b**3/5 + 74*b**2/5 + 14*b.
-2*b*(b - 7)*(b + 1)*(b + 5)/5
Find b such that 2*b**3/3 + 8*b**2/3 + 2*b/3 - 4 = 0.
-3, -2, 1
Determine n, given that 3*n**2 + 96*n - 204 = 0.
-34, 2
Factor s**3 + 17*s**2 + 31*s + 15.
(s + 1)**2*(s + 15)
What is n in -4*n**5/7 + 52*n**4/7 = 0?
0, 13
Solve -4*u**4/9 + 490*u**3 - 2200*u**2/9 - 490*u + 2204/9 = 0.
-1, 1/2, 1, 1102
Determine m so that 6*m**3/5 - 254*m**2/5 + 66*m - 82/5 = 0.
1/3, 1, 41
Factor 15*w**4 + 10*w**3 - 45*w**2 + 20.
5*(w - 1)**2*(w + 2)*(3*w + 2)
Determine j, given that -3*j**5/2 + 129*j**4/2 - 507*j**3/2 - 2325*j**2/2 - 1299*j - 456 = 0.
-1, 8, 38
Suppose k**3/2 - 329*k**2/2 + 652*k - 650 = 0. What is k?
2, 325
Determine p so that -p**2/9 + 37*p/3 - 218/9 = 0.
2, 109
Determine p so that 2*p**3/3 + 10*p**2/3 + 4*p = 0.
-3, -2, 0
Suppose 14*a**3 + 2*a**2 - 14*a - 2 = 0. What is a?
-1, -1/7, 1
What is v in -16*v**3/7 - 348*v**2/7 + 456*v/7 - 92/7 = 0?
-23, 1/4, 1
What is t in -t**3 + 62*t**2 = 0?
0, 62
What is j in 3*j**4 + 1902*j**3 + 305247*j**2 + 1198260*j + 1190700 = 0?
-315, -2
Factor 9*z**3/5 + 132*z**2/5 - 564*z/5 - 432/5.
3*(z - 4)*(z + 18)*(3*z + 2)/5
Factor 2*s**3/5 + 2*s**2 + 16*s/5 + 8/5.
2*(s + 1)*(s + 2)**2/5
Factor 4*d**2/3 + 48760*d/3 + 148596100/3.
4*(d + 6095)**2/3
Factor n**3 + n**2 - 37*n + 35.
(n - 5)*(n - 1)*(n + 7)
Suppose 3*t**2 - 30*t + 27 = 0. Calculate t.
1, 9
Factor 102*k**4/5 + 22836*k**3/5 + 255360*k**2 - 150528*k/5.
6*k*(k + 112)**2*(17*k - 2)/5
Find a such that -9*a**5 + 84*a**4 + 230*a**3 + 172*a**2 + 35*a = 0.
-1, -1/3, 0, 35/3
Let 2*o**2/9 + 56*o/9 + 6 = 0. Calculate o.
-27, -1
Find s such that -2*s**3/3 + 356*s**2/3 + 2944*s/3 + 1984 = 0.
-4, 186
Factor 35*g**4 + 2530*g**3 + 5620*g**2 + 1400*g.
5*g*(g + 2)*(g + 70)*(7*g + 2)
Factor -2*w**2/25 + 16*w/5 - 222/25.
-2*(w - 37)*(w - 3)/25
Determine g so that g**2/2 + 23*g/2 = 0.
-23, 0
Determine s, given that 16*s**5/3 + 68*s**4/3 + 32*s**3 + 52*s**2/3 + 8*s/3 = 0.
-2, -1, -1/4, 0
Factor 2*d**3/7 - 556*d**2/7 + 158*d - 552/7.
2*(d - 276)*(d - 1)**2/7
Factor 5*q**2 + 1115*q.
5*q*(q + 223)
Let -3*h**5 + 39*h**4 + 60*h**3 - 240*h**2 - 192*h + 336 = 0. Calculate h.
-2, 1, 2, 14
Factor 5*q**4 - 380*q**3 + 745*q**2 - 370*q.
5*q*(q - 74)*(q - 1)**2
Suppose w**3/3 + 53*w**2 + 158*w/3 = 0. Calculate w.
-158, -1, 0
Suppose 3*w**2 + 17076*w + 24299148 = 0. What is w?
-2846
Suppose -5*n**2 + 75*n + 2250 = 0. What is n?
-15, 30
Determine t, given that -3*t**5 + 78*t**4 + 270*t**3 - 228*t**2 - 939*t - 522 = 0.
-3, -1, 2, 29
Determine d so that 3*d**2 - 858*d + 61347 = 0.
143
Factor -3*f**2 + 1158*f - 111747.
-3*(f - 193)**2
Determine b, given that -b**3/8 - 2481*b**2/8 - 2051787*b/8 - 565609283/8 = 0.
-827
Find d, given that 5*d**5 + 225*d**4 + 2415*d**3 - 2645*d**2 = 0.
-23, 0, 1
Factor -5*r**3 + 1095*r**2 - 60495*r + 59405.
-5*(r - 109)**2*(r - 1)
Factor z**4/6 - 11*z**3/6 + 11*z**2/2 - 5*z/6 - 25/3.
(z - 5)**2*(z - 2)*(z + 1)/6
Let -8*h**4 + 180*h**3 - 408*h**2 + 160*h = 0. Calculate h.
0, 1/2, 2, 20
Suppose -5*t**4 - 450*t**3 + 20*t**2 + 1800*t = 0. Calculate t.
-90, -2, 0, 2
Find v, given that -2*v**5 + 22*v**4 - 26*v**3 - 102*v**2 + 108*v = 0.
-2, 0, 1, 3, 9
Factor -3*o**3/7 + 51*o**2/7 + 90*o/7 - 648/7.
-3*(o - 18)*(o - 3)*(o + 4)/7
What is w in -12*w**4 + 60*w**3 - 27*w**2 - 78*w - 24 = 0?
-1/2, 2, 4
Factor -5*n**3 + 2370*n**2 - 280845*n.
-5*n*(n - 237)**2
Let 160*i**5 - 100*i**4 - 15*i**3 = 0. What is i?
-1/8, 0, 3/4
Factor 2*g**4 - 10*g**3 - 4*g**2 + 48*g.
2*g*(g - 4)*(g - 3)*(g + 2)
Factor -20*d**4 - 48*d**3 - 16*d**2.
-4*d**2*(d + 2)*(5*d + 2)
Determine p, given that -2*p**3 + 32*p**2 - 118*p + 88 = 0.
1, 4, 11
Factor 2*n**2/19 - 20*n/19 - 112/19.
2*(n - 14)*(n + 4)/19
Suppose b**4 + 11*b**3/3 - 40*b**2/3 + 4*b = 0. Calculate b.
-6, 0, 1/3, 2
Let -2*t**4 + 44*t**3 - 362*t**2 + 1320*t - 1800 = 0. Calculate t.
5, 6
Factor t**5 - 3*t**4 + 3*t**3 - t**2.
t**2*(t - 1)**3
Find i such that -i**5/4 + i**4/4 + 5*i**3/4 + 3*i**2/4 = 0.
-1, 0, 3
Let -2*y**4 + 8*y**3 - 4*y**2 - 8*y + 6 = 0. What is y?
-1, 1, 3
Determine v so that -2*v**3 + 10*v**2/3 + 16*v/3 = 0.
-1, 0, 8/3
Let -44*g**4 + 200*g**3/3 + 4*g**2 - 32*g + 16/3 = 0. What is g?
-2/3, 2/11, 1
Factor 2*c**2/7 + 384*c/7 + 382/7.
2*(c + 1)*(c + 191)/7
Solve -4*q**2 - 8544*q = 0 for q.
-2136, 0
Factor -2*r**4/3 + 20*r**3 - 38*r**2 - 5776*r/3.
-2*r*(r - 19)**2*(r + 8)/3
Suppose -4*u**4/7 + 44*u**3/7 + 52*u**2/7 - 44*u/7 - 48/7 = 0. What is u?
-1, 1, 12
Factor r**3/6 + 40*r**2/3 + 1097*r/6 - 589/3.
(r - 1)*(r + 19)*(r + 62)/6
Factor -d**5/2 + 6*d**4 + 27*d**3/2 + 7*d**2.
-d**2*(d - 14)*(d + 1)**2/2
What is v in -v**3 + 6*v**2 - 9*v + 4 = 0?
1, 4
Solve 5*m**4 + 30*m**3 + 55*m**2 + 30*m = 0.
-3, -2, -1, 0
Factor -3*v**4 - 57*v**3 - 153*v**2 - 147*v - 48.
-3*(v + 1)**3*(v + 16)
Factor n**3 - 285*n**2 + 27075*n - 857375.
(n - 95)**3
Find l, given that 43923*l**4/4 - 45375*l**3/4 + 366*l**2 - 3*l = 0.
0, 2/121, 1
Solve 2*k**2 - 114*k - 360 = 0.
-3, 60
What is y in 4*y**3/5 - 232*y**2/5 + 1036*y/5 + 1272/5 = 0?
-1, 6, 53
Factor -2*c**3/17 - 712*c**2/17 + 1430*c/17 - 716/17.
-2*(c - 1)**2*(c + 358)/17
Solve 2*n**2 + 20*n + 32 = 0 for n.
-8, -2
Determine y so that 12*y**5 - 80*y**4 + 48*y**3 + 384*y**2 - 256*y = 0.
-2, 0, 2/3, 4
Factor 3*o**4/8 + 3*o**3/8 - 3*o**2/8 - 3*o/8.
3*o*(o - 1)*(o + 1)**2/8
Suppose -9*m**3 - 735*m**2 + 993*m - 249 = 0. What is m?
-83, 1/3, 1
Determine y, given that -y**3 + 13*y**2 + 16*y - 28 = 0.
-2, 1, 14
Suppose 4*z**2 + 32*z = 0. Calculate z.
-8, 0
Factor -4*m**2 + 424*m - 11236.
-4*(m - 53)**2
Suppose -3*c**3 + 852*c**2 - 5817*c = 0. Calculate c.
0, 7, 277
Suppose -6*a**5 - 81*a**4 - 231*a**3 - 216*a**2 - 60*a = 0. Calculate a.
-10, -2, -1, -1/2, 0
Factor 2*c**2/7 + 1380*c/7 + 238050/7.
2*(c + 345)**2/7
Solve 2*w**3/5 + 44*w**2/5 + 242*w/5 = 0.
-11, 0
Factor g**5/7 + 8*g**4/7 + 3*g**3 + 22*g**2/7 + 8*g/7.
g*(g + 1)**2*(g + 2)*(g + 4)/7
Factor 2*m**5 + 120*m**4 + 1948*m**3 - 3128*m**2 - 193614*m + 194672.
2*(m - 8)*(m - 1)*(m + 23)**3
Solve 3*p**3 + 48*p**2 - 183*p - 228 = 0.
-19, -1, 4
Suppose 2*u**3/5 + 6*u**2/5 - 18*u/5 - 54/5 = 0. Calculate u.
-3, 3
Let 4*f**2 - 40*f + 84 = 0. What is f?
3, 7
Factor -z**4/5 + 19*z**3/5 - 58*z**2/5 - 672*z/5 + 3456/5.
-(z - 9)*(z - 8)**2*(z + 6)/5
Let 4*v**3 + 80*v**2 - 4*v - 80 = 0. What is v?
-20, -1, 1
Find x such that -40*x**2 - 65*x - 25 = 0.
-1, -5/8
Factor 2*t**2/7 + 48*t/7 - 50/7.
2*(t - 1)*(t + 25)/7
Suppose 4*d**3 + 184*d**2 + 1140*d + 1872 = 0. What is d?
-39, -4, -3
Suppose -2*d**2/3 + 316*d/3 = 0. Calculate d.
0, 158
Factor 5*x**3 - 910*x**2 + 1800*x.
5*x*(x - 180)*(x - 2)
Factor -2*c**4/5 - 1076*c**3/5 - 142554*c**2/5 + 583192*c/5 - 587528/5.
-2*(c - 2)**2*(c + 271)**2/5
Factor a**3 + 5082*a**2 + 8608908*a + 4861163384.
(a + 1694)**3
Factor -4*t**3 + 328*t**2 - 6384*t - 14112.
-4*(t - 42)**2*(t + 2)
Factor 2*c**3 + 21046*c**2 + 55377286*c + 55356242.
2*(c + 1)*(c + 5261)**2
Factor -15*v**5 + 40*v**4 - 20*v**3.
-5*v**3*(v - 2)*(3*v - 2)
Factor -2*r**3/3 + 2*r**2/3 + 6*r - 6.
-2*(r - 3)*(r - 1)*(r + 3)/3
Factor -2*c**2/3 + 70*c/3.
-2*c*(c - 35)/3
Determine o so that -o**5/5 + 13*o**4/5 - 33*o**3/5 - 157*o**2/5 + 778*o/5 - 168 = 0.
-4, 2, 3, 5, 7
Solve b**2/2 + 39*b + 77/2 = 0.
-77, -1
Factor 4*b**5/9 + 62*b**4/3 - 94*b**3/9.
2*b**3*(b + 47)*(2*b - 1)/9
Solve -a**5/6 - 3*a**4/2 - 31*a**3/6 - 17*a**2/2 - 20*a/3 - 2 = 0.
-3, -2, -