.
-4*i**3*(i + 11)*(5*i - 1)/5
Solve -h**4/3 + 3*h**3 + 11*h**2 + 35*h/3 + 4 = 0 for h.
-1, 12
Factor 3*m**2 + 27*m - 210.
3*(m - 5)*(m + 14)
Factor -6*c**3 - 56*c**2 - 56*c + 64.
-2*(c + 2)*(c + 8)*(3*c - 2)
Solve 5*z**3 - 335*z**2 + 330*z = 0 for z.
0, 1, 66
Find v such that v**5/4 - v**4/2 - 11*v**3 + 117*v**2/2 - 405*v/4 + 54 = 0.
-8, 1, 3
Determine k, given that -18*k**5 + 816*k**4 + 1474*k**3 - 3032*k**2 + 1128*k = 0.
-3, 0, 2/3, 47
Find j, given that -3*j**2 + 107*j + 36 = 0.
-1/3, 36
Factor 6*s**3 + 34*s**2 - 16*s - 24.
2*(s - 1)*(s + 6)*(3*s + 2)
Solve -32*k**5/5 - 272*k**4/5 - 338*k**3/5 - 2*k**2/5 + 82*k/5 - 14/5 = 0.
-7, -1, 1/4
Let -2*c**2/3 + 406*c/3 - 404/3 = 0. Calculate c.
1, 202
Let 3*w**2/2 - 6*w - 48 = 0. Calculate w.
-4, 8
Determine f, given that -3*f**2/5 + 63*f/5 - 12 = 0.
1, 20
Factor g**3/4 - 3*g**2/2 - 6*g + 16.
(g - 8)*(g - 2)*(g + 4)/4
Factor 3*w**5/4 + 27*w**4/4 + 81*w**3/4 + 81*w**2/4.
3*w**2*(w + 3)**3/4
Find q such that q**4/5 - 2*q**3/5 - 19*q**2/5 - 28*q/5 - 12/5 = 0.
-2, -1, 6
Factor 5*m**3 + 235*m**2 + 1400*m - 35280.
5*(m - 9)*(m + 28)**2
Factor -i**3 - 25*i**2.
-i**2*(i + 25)
Factor -4*x**2 + 208*x - 400.
-4*(x - 50)*(x - 2)
Find z such that z**5/7 - 11*z**4/7 + 24*z**3/7 + 4*z**2/7 - 32*z/7 = 0.
-1, 0, 2, 8
Factor 2*z**4/15 - 2*z**3/5 - 22*z**2/5 + 14*z/3.
2*z*(z - 7)*(z - 1)*(z + 5)/15
Find o, given that 5*o**3/6 - 215*o/6 + 35 = 0.
-7, 1, 6
Factor 5*o**2 + 28530*o + 40698045.
5*(o + 2853)**2
Factor m**4 + 298*m**3 + 292*m**2 - 1482*m + 891.
(m - 1)**2*(m + 3)*(m + 297)
Factor -4*m**2/3 + 6488*m/3 + 2164.
-4*(m - 1623)*(m + 1)/3
Solve -k**3/4 + k**2 + 5*k/4 = 0.
-1, 0, 5
Factor -f**3 - 2*f**2 - f.
-f*(f + 1)**2
Let -3*r**5 + 439*r**4/2 + 1295*r**3/2 - 102*r**2 - 914*r + 152 = 0. Calculate r.
-2, 1/6, 1, 76
Factor -2*r**2/7 - 60*r/7 + 62/7.
-2*(r - 1)*(r + 31)/7
Factor -f**2 + 169*f/3 - 56/3.
-(f - 56)*(3*f - 1)/3
Factor -3*d**4/2 - 9*d**3 - 9*d**2/2 + 15*d.
-3*d*(d - 1)*(d + 2)*(d + 5)/2
Factor -4*w**5 + 104*w**4 + 1296*w**3 + 4968*w**2 + 7668*w + 3888.
-4*(w - 36)*(w + 1)*(w + 3)**3
Factor -2*r**2/3 + 1444*r/3 - 260642/3.
-2*(r - 361)**2/3
What is b in -4*b**5 - 138*b**4 + 696*b**3 - 242*b**2 - 312*b = 0?
-39, -1/2, 0, 1, 4
Determine q, given that -2*q**5/9 + 22*q**3/9 + 4*q**2/3 - 56*q/9 - 16/3 = 0.
-2, -1, 2, 3
Let -5*s**3/2 + 4815*s**2/2 - 9615*s/2 + 4805/2 = 0. What is s?
1, 961
Suppose g**2 - 18*g = 0. What is g?
0, 18
Factor -v**4 - 280*v**3 - 1653*v**2 - 2466*v.
-v*(v + 3)**2*(v + 274)
Let 4*i**4 - 48*i**3 + 68*i**2 + 456*i - 864 = 0. What is i?
-3, 2, 4, 9
Solve 4*d**2/3 - 13*d/3 + 1 = 0.
1/4, 3
Factor -3*t**2 - 786*t - 783.
-3*(t + 1)*(t + 261)
Factor 578*k**3 - 5338*k**2/3 + 1232*k/9 - 8/3.
2*(k - 3)*(51*k - 2)**2/9
Let -19*p**4/2 + 33*p**3/2 - 9*p**2/2 - 5*p/2 = 0. What is p?
-5/19, 0, 1
Factor 4*h**3 - 4*h**2 - 20*h - 12.
4*(h - 3)*(h + 1)**2
Find c, given that 108*c**4 + 543*c**3 - 417*c**2 - 2172*c - 60 = 0.
-5, -2, -1/36, 2
Solve -2*p**2 - 1274*p - 1272 = 0.
-636, -1
Factor 6*w**3 - 64*w**2 - 22*w.
2*w*(w - 11)*(3*w + 1)
Solve 68*g**2 - 262*g/5 - 8/5 = 0 for g.
-1/34, 4/5
Determine q so that -11*q**4/2 + 27*q**3/2 + 29*q**2/2 - 27*q/2 - 9 = 0.
-1, -6/11, 1, 3
Factor -310*c**2/9 - 926*c/9 + 4/3.
-2*(c + 3)*(155*c - 2)/9
Factor 4*u**4/9 - 20*u**3/9 + 8*u**2/9 + 32*u/9.
4*u*(u - 4)*(u - 2)*(u + 1)/9
Solve -y**5 + 60*y**4 + 189*y**3 + 4*y**2 - 252*y = 0 for y.
-2, 0, 1, 63
What is k in -26*k**3 - 256*k**2 + 330*k = 0?
-11, 0, 15/13
Factor -r**3/3 - 2*r**2 + 37*r/3 - 10.
-(r - 3)*(r - 1)*(r + 10)/3
Factor -5*r**3 - 365*r**2 - 710*r.
-5*r*(r + 2)*(r + 71)
Determine s, given that 2*s**2 + 20*s + 50 = 0.
-5
Factor -4*c**3/7 - 76*c**2.
-4*c**2*(c + 133)/7
Factor -l**2/3 - 17*l/3.
-l*(l + 17)/3
Factor 3*r**2 + 5271*r + 5268.
3*(r + 1)*(r + 1756)
Find f such that 2*f**3 - 202*f**2 + 5734*f - 30926 = 0.
7, 47
Factor -2*y**2/5 - 292*y/5 - 10658/5.
-2*(y + 73)**2/5
Determine a so that -a**5/7 - 29*a**4/7 + 523*a**3/7 - 955*a**2/7 + 66*a = 0.
-42, 0, 1, 11
Let 249*d**2/5 - 462*d/5 - 72/5 = 0. Calculate d.
-12/83, 2
Factor 5*k**2 + 115*k - 1440.
5*(k - 9)*(k + 32)
Factor -h**2/7 + 55*h/7 + 72.
-(h - 63)*(h + 8)/7
Solve -4*p**2 + 12*p + 160 = 0.
-5, 8
Suppose -2*i**2 - 546*i - 1084 = 0. What is i?
-271, -2
Factor -z**3/2 - 39*z**2/2 - 37*z.
-z*(z + 2)*(z + 37)/2
Determine m, given that 3*m**4 + 522*m**3 + 513*m**2 - 1038*m = 0.
-173, -2, 0, 1
Factor 3*c**2 - 5703*c + 5700.
3*(c - 1900)*(c - 1)
Factor -2*q**3/3 - 38*q**2/3 + 112*q/3 + 1176.
-2*(q - 9)*(q + 14)**2/3
Factor -s**3 + 3*s**2 + 45*s + 81.
-(s - 9)*(s + 3)**2
Solve y**3/2 - 87*y**2/2 - 44*y = 0 for y.
-1, 0, 88
Suppose k**4/5 + 728*k**3 - 3641*k**2/5 = 0. Calculate k.
-3641, 0, 1
Factor 2*o**3/9 + 2*o**2/3 - 68*o/9 + 32/3.
2*(o - 3)*(o - 2)*(o + 8)/9
Factor -18*s**2 + 400*s - 88.
-2*(s - 22)*(9*s - 2)
Let -w**3 - 25*w**2 - 174*w - 360 = 0. What is w?
-15, -6, -4
Let -2*z**4/15 + 52*z**3/15 - 50*z**2/3 - 304*z/15 = 0. Calculate z.
-1, 0, 8, 19
Find m such that 3*m**4 - 483*m**3/2 + 579*m**2 + 486*m - 1404 = 0.
-3/2, 2, 78
Let -3*c**4 - 219*c**3 - 417*c**2 + 639*c = 0. What is c?
-71, -3, 0, 1
Factor 2*l**2/15 + 3916*l/15 + 1916882/15.
2*(l + 979)**2/15
Solve -3*u**2 + 789*u - 4626 = 0 for u.
6, 257
Factor -4*m**3 - 48*m**2 - 128*m.
-4*m*(m + 4)*(m + 8)
Find n such that -2*n**2 + 56*n - 150 = 0.
3, 25
Find d, given that d**3 + 22*d**2 - 23*d = 0.
-23, 0, 1
Suppose -64*t**4 - 9824*t**3 - 4868*t**2 + 4280*t - 612 = 0. What is t?
-153, -1, 1/4
Let j**3 + 5*j**2 + 3*j - 9 = 0. What is j?
-3, 1
Factor -w**2/2 - 5418*w - 14677362.
-(w + 5418)**2/2
Find x such that x**3 + 1497*x**2 + 559503*x - 561001 = 0.
-749, 1
Suppose -s**2 + 23*s - 60 = 0. Calculate s.
3, 20
Suppose -r**2/4 - 39*r/4 + 63/2 = 0. Calculate r.
-42, 3
Find f such that -f**4/2 + 2*f**3 + 19*f**2/2 + 7*f = 0.
-2, -1, 0, 7
Factor -2*u**2/11 + 116*u/11 - 224/11.
-2*(u - 56)*(u - 2)/11
Determine p so that -p**3/3 + 91*p**2/3 - 28*p - 180 = 0.
-2, 3, 90
What is a in -3*a**5 + 21*a**4 + 15*a**3 - 105*a**2 - 12*a + 84 = 0?
-2, -1, 1, 2, 7
What is o in -5476*o**3 + 9324*o**2 + 3135*o + 242 = 0?
-11/74, 2
Suppose 5*p**4 + 320*p**3 + 5675*p**2 + 16500*p - 22500 = 0. What is p?
-30, -5, 1
Find k, given that 5*k**3/6 - 20*k**2/3 - 15*k/2 = 0.
-1, 0, 9
Factor -2*b**2 - 56*b - 264.
-2*(b + 6)*(b + 22)
Determine l, given that -2*l**2 + 148*l + 150 = 0.
-1, 75
Solve -4*u**5/7 - 10*u**4/7 + 320*u**3/7 + 170*u**2/7 - 316*u/7 - 160/7 = 0 for u.
-10, -1, -1/2, 1, 8
Factor 5*b**3 + 160*b**2 + 1255*b + 1100.
5*(b + 1)*(b + 11)*(b + 20)
Factor j**2/3 + 308*j/3.
j*(j + 308)/3
Factor -y**4 - 3*y**3 + 2*y**2 + 12*y + 8.
-(y - 2)*(y + 1)*(y + 2)**2
Factor 6*q**4 + 34*q**3 - 168*q**2 - 1440*q - 2432.
2*(q + 4)**3*(3*q - 19)
Factor 4*p**3/7 - 80*p**2 - 5900*p/7 - 15000/7.
4*(p - 150)*(p + 5)**2/7
Factor 5*l**3 + 175*l**2 - 2640*l + 8460.
5*(l - 6)**2*(l + 47)
Determine v so that 58*v**3/3 - 698*v**2/3 + 8*v = 0.
0, 1/29, 12
Factor -183*i**2/5 + 72*i + 12/5.
-3*(i - 2)*(61*i + 2)/5
Find n, given that n**3/9 + 4*n**2/9 + n/9 - 2/3 = 0.
-3, -2, 1
Factor 15*g**2 + 8710*g - 2905.
5*(g + 581)*(3*g - 1)
Determine o, given that -53*o**2/4 + 25*o/2 + 3/4 = 0.
-3/53, 1
Solve 3*a**4/5 - 54*a**3/5 - 27*a**2 + 282*a/5 + 72 = 0 for a.
-3, -1, 2, 20
Determine d so that -d**3/3 + 4692*d**2 - 22014864*d + 34431247296 = 0.
4692
Factor 20*l**5 + 64*l**4 + 56*l**3 - 16*l**2 - 44*l - 16.
4*(l + 1)**4*(5*l - 4)
Factor 4*f**4/3 - 4*f**3 - 4*f**2 + 44*f/3 - 8.
4*(f - 3)*(f - 1)**2*(f + 2)/3
Solve 3*g**3 + 21*g**2 + 33*g + 15 = 0 for g.
-5, -1
Suppose -3*v**2 + 60*v + 63 = 0. What is v?
-1, 21
Factor -2*t**3 - 18*t**2 + 114*t + 130.
-2*(t - 5)*(t + 1)*(t + 13)
Factor -5*u**2 + 35*u - 60.
-5*(u - 4)*(u - 3)
Find l such that 3*l**4/2 + 54*l**3 + 735*l**2/2 + 909*l + 756 = 0.
-28, -3, -2
Factor 2*q**4/3 - 8*q**3 + 8*q**2/3 + 128*q + 512/3.
2*(q - 8)**2*(q + 2)**2/3
Factor -3*s**4/5 + 24*s**3/5 - 54*s**2/5 + 48*s/5 - 3.
-3*(s - 5)*(s - 1)**3/5
Factor 2*q**2/3 + 36*q + 208/3.
2*(q + 2)*(q + 52)/3
Factor -o**4 + 882*o**3 - 195361*o**2 + 388080*o - 193600.
-(o - 440)**2*(o - 1)**2
Factor 5*a**3 - 90*a**2 + 165*a - 80.
5*(a - 16)*(a - 1)**2
Suppose 2*g**3 + 34*g**2 + 110*g + 78 = 0. What is g?
-13, -3, -1
Factor 9*t**5 + 11*t**4 - 16*t**3 - 4*t