-j**2 - 470*j + 1419.
-(j - 3)*(j + 473)
Find w such that -2*w**4/13 + 36*w**2/13 + 64*w/13 + 30/13 = 0.
-3, -1, 5
Suppose -4*x**2/5 + 36*x/5 - 32/5 = 0. Calculate x.
1, 8
Solve 4*p**3 - 23*p**2/2 + 13*p/2 + 1 = 0.
-1/8, 1, 2
What is o in -3*o**4/5 + 189*o**3/5 + 1761*o**2/5 - 4077*o/5 + 426 = 0?
-10, 1, 71
Suppose 3*w**3/5 + 4881*w**2/5 - 9771*w/5 + 4887/5 = 0. What is w?
-1629, 1
Suppose 2*k**5/7 + 2*k**4 + 20*k**3/7 - 40*k**2/7 - 16*k - 64/7 = 0. Calculate k.
-4, -2, -1, 2
Factor -a**3 + 15*a**2 - 44*a.
-a*(a - 11)*(a - 4)
Factor p**4 - 2*p**3 - 7*p**2 - 4*p.
p*(p - 4)*(p + 1)**2
Find x such that 165*x**3 + 1242*x**2 + 855*x - 222 = 0.
-74/11, -1, 1/5
Determine j so that 2*j**4/11 - 42*j**3/11 + 148*j**2/11 + 768*j/11 + 576/11 = 0.
-2, -1, 12
Factor 2*t**3/15 - 66*t**2 - 662*t/5 - 994/15.
2*(t - 497)*(t + 1)**2/15
Factor 2*l**4 + 8*l**3 + 6*l**2.
2*l**2*(l + 1)*(l + 3)
Suppose -z**2/3 - 26*z/3 - 51 = 0. What is z?
-17, -9
Let -d**2/2 - 182*d - 16562 = 0. Calculate d.
-182
Let 3*q**2 + 732*q - 1476 = 0. What is q?
-246, 2
Factor -2*v**4/7 + 4*v**3/7 + 46*v**2/7 - 48*v/7 - 288/7.
-2*(v - 4)**2*(v + 3)**2/7
Find v, given that -2*v**5/5 - 6*v**4 - 52*v**3/5 + 4*v**2/5 + 54*v/5 + 26/5 = 0.
-13, -1, 1
Determine q, given that 11*q**5/8 + 23*q**4/4 + 41*q**3/8 - 19*q**2/4 - 13*q/2 - 1 = 0.
-2, -1, -2/11, 1
Factor -2*a**5 + 6*a**4 - 6*a**3 + 2*a**2.
-2*a**2*(a - 1)**3
Suppose 4*q**2 + 8*q = 0. What is q?
-2, 0
Determine p, given that 2*p**2/19 + 13672*p/19 + 23365448/19 = 0.
-3418
Find l such that -34*l**4/9 - 106*l**3/9 + 22*l**2/9 + 106*l/9 + 4/3 = 0.
-3, -1, -2/17, 1
Let 2*d**3 - 504*d**2 + 1002*d - 500 = 0. Calculate d.
1, 250
Factor 14*g**4/19 - 52*g**3/19 - 16*g**2/19.
2*g**2*(g - 4)*(7*g + 2)/19
Factor 2*f**3 - 20*f**2 + 62*f - 60.
2*(f - 5)*(f - 3)*(f - 2)
Determine q, given that 2*q**2 + 204*q - 206 = 0.
-103, 1
Suppose -144*u**4/11 - 434*u**3/11 - 6*u**2/11 + 576*u/11 + 8/11 = 0. What is u?
-2, -1/72, 1
Factor -d**4 - 2*d**3 + 3*d**2.
-d**2*(d - 1)*(d + 3)
Factor -4*d**4 + 12*d**3 - 16*d.
-4*d*(d - 2)**2*(d + 1)
Factor -2*b**3/19 - 26*b**2/19 + 58*b/19 - 30/19.
-2*(b - 1)**2*(b + 15)/19
Suppose -2*w**5 + 1776*w**4 - 5316*w**3 + 5312*w**2 - 1770*w = 0. Calculate w.
0, 1, 885
Determine k, given that 86*k**2/9 + 10*k + 4/9 = 0.
-1, -2/43
Factor -2*t**2/3 + 4*t + 32/3.
-2*(t - 8)*(t + 2)/3
Solve -5*r**3 - 1170*r**2 - 91260*r - 2372760 = 0.
-78
Factor 2*a**2 + 130*a + 1932.
2*(a + 23)*(a + 42)
Find b such that -2*b**3 + 54*b**2 - 432*b + 864 = 0.
3, 12
Find q such that 2*q**3 - 30*q**2 + 94*q + 126 = 0.
-1, 7, 9
Suppose 15*g**4 + 25*g**3 - 20*g**2 - 20*g = 0. Calculate g.
-2, -2/3, 0, 1
Factor -4*c**2 - 148*c + 840.
-4*(c - 5)*(c + 42)
Suppose -2*n**4 + 35492*n**3/9 - 17491640*n**2/9 - 3888784*n/9 = 0. Calculate n.
-2/9, 0, 986
Let 4*h**2 + 4752*h + 1411344 = 0. What is h?
-594
Factor 2*a**4 + 102*a**3 - 104*a**2.
2*a**2*(a - 1)*(a + 52)
Factor 4*m**2/9 + 17048*m/3 + 18164644.
4*(m + 6393)**2/9
Factor -2*k**2/9 + 32*k/3 + 200/9.
-2*(k - 50)*(k + 2)/9
What is u in -u**2/4 - 725*u/2 - 525625/4 = 0?
-725
Find l such that -11*l**5/10 + l**4/5 + 33*l**3/5 + 38*l**2/5 + 17*l/10 - 3/5 = 0.
-1, 2/11, 3
Let i**2/5 - 14186*i/5 + 50310649/5 = 0. Calculate i.
7093
Factor 3*a**3 - 8*a**2 - 15*a - 4.
(a - 4)*(a + 1)*(3*a + 1)
Determine d, given that -d**2 + 7*d - 10 = 0.
2, 5
Factor 3*j**5 + 21*j**4 + 15*j**3 - 21*j**2 - 18*j.
3*j*(j - 1)*(j + 1)**2*(j + 6)
Suppose -5*f**2 + 30*f + 1235 = 0. What is f?
-13, 19
Factor 4*x**3 + 280*x**2 + 732*x - 4824.
4*(x - 3)*(x + 6)*(x + 67)
Suppose -5*h**3 - 330*h**2 + 13160*h = 0. Calculate h.
-94, 0, 28
Factor -2*x**2 - 84*x + 176.
-2*(x - 2)*(x + 44)
Solve 3*i**3/2 - 33*i**2 + 63*i/2 = 0.
0, 1, 21
Factor -20*j**3 + 1172*j**2 + 472*j.
-4*j*(j - 59)*(5*j + 2)
Suppose -5*n**2 - 130*n + 960 = 0. What is n?
-32, 6
Solve 112*t**5 - 626*t**4 + 736*t**3 + 390*t**2 + 36*t = 0 for t.
-2/7, -1/8, 0, 3
Factor -2*x**3/5 - 1994*x**2/5 - 3982*x/5 - 398.
-2*(x + 1)**2*(x + 995)/5
Determine c, given that 2*c**5/3 + 170*c**4/3 + 3524*c**3/3 - 3868*c**2/3 - 3526*c/3 + 3698/3 = 0.
-43, -1, 1
Find z, given that -3*z**2/2 - 1623*z = 0.
-1082, 0
Let 5*h**3 - 20*h**2 + 25*h - 10 = 0. What is h?
1, 2
Factor -5*q**3 - 190*q**2 + 2820*q - 9000.
-5*(q - 6)**2*(q + 50)
Factor 27*i**3 + 69*i**2 - 104*i/3 + 4.
(i + 3)*(9*i - 2)**2/3
Let -u**4/6 - 2*u**3/3 + u**2/6 + 2*u/3 = 0. Calculate u.
-4, -1, 0, 1
Solve -12*x**5 - 92*x**4 - 172*x**3/3 - 28*x**2/3 = 0.
-7, -1/3, 0
Factor 2*j**5/5 + 22*j**4/5 + 86*j**3/5 + 146*j**2/5 + 112*j/5 + 32/5.
2*(j + 1)**3*(j + 4)**2/5
Factor -2*c**4/9 + 2*c**2/3 + 4*c/9.
-2*c*(c - 2)*(c + 1)**2/9
Factor 3*y**2 + 174*y - 360.
3*(y - 2)*(y + 60)
Determine v, given that 2*v**2/3 - 40*v/3 - 14 = 0.
-1, 21
Suppose -2*f**3/7 + 66*f**2/7 - 90*f + 1350/7 = 0. What is f?
3, 15
Factor -t**2 + 16*t + 57.
-(t - 19)*(t + 3)
Factor -5*f**3 + 25*f**2 + 30*f.
-5*f*(f - 6)*(f + 1)
Suppose -4*f**4 + 232*f**3 + 476*f**2 + 240*f = 0. What is f?
-1, 0, 60
Solve -b**5 + 17*b**4 - 97*b**3 + 207*b**2 - 126*b = 0.
0, 1, 3, 6, 7
Let -4*u**3 + 26*u**2 - 12*u = 0. Calculate u.
0, 1/2, 6
Factor 5*r**3 + 15*r**2 + 15*r + 5.
5*(r + 1)**3
Factor 4*x**2 + 456*x - 928.
4*(x - 2)*(x + 116)
Determine l so that 3*l**3/4 - 15*l**2 + 75*l = 0.
0, 10
Factor -6*t**3/5 - 52*t**2/5 - 142*t/5 - 24.
-2*(t + 3)*(t + 4)*(3*t + 5)/5
Factor -3*l**4 + 213*l**3 + 1857*l**2 + 3063*l + 1422.
-3*(l - 79)*(l + 1)**2*(l + 6)
Factor -k**4 - 12*k**3 - 11*k**2.
-k**2*(k + 1)*(k + 11)
Solve -4*c**2/7 - 22*c/7 - 24/7 = 0.
-4, -3/2
Factor 6*q**2/5 - 834*q/5 + 1644/5.
6*(q - 137)*(q - 2)/5
Solve -4*c**5 - 10*c**4 - 2*c**3 + 4*c**2 = 0 for c.
-2, -1, 0, 1/2
Let -3*z**5 + 18*z**4 + 684*z**3 + 2922*z**2 + 3879*z + 1620 = 0. Calculate z.
-9, -3, -1, 20
Determine j, given that -j**5 - 49*j**4 - 263*j**3 - 215*j**2 = 0.
-43, -5, -1, 0
Determine t, given that 3025*t**2/4 + 220*t + 16 = 0.
-8/55
Solve 216*j**4/5 + 324*j**3 + 774*j**2/5 + 127*j/5 + 7/5 = 0.
-7, -1/6
Find b, given that 10*b**5 + 165*b**4 + 785*b**3 + 515*b**2 - 2475*b + 1000 = 0.
-8, -5, 1/2, 1
Factor 4*b**3 - 764*b**2 + 36860*b - 36100.
4*(b - 95)**2*(b - 1)
Let -6480*u**4 + 360*u**3 + 6475*u**2 - 360*u + 5 = 0. What is u?
-1, 1/36, 1
Factor 4*m**4 - 32*m**3 + 84*m**2 - 72*m.
4*m*(m - 3)**2*(m - 2)
Solve -3*x**2 - 825*x + 1662 = 0.
-277, 2
Solve -2*y**4/11 - 54*y**3/11 - 126*y**2/11 + 486*y/11 + 1296/11 = 0.
-24, -3, 3
Suppose -147*h**5/2 + 19761*h**4/2 - 33144*h**3 + 17148*h**2 + 18840*h + 3144 = 0. What is h?
-2/7, 2, 131
Let -a**2/4 - 173*a/8 - 255/8 = 0. What is a?
-85, -3/2
Factor 2*q**3/7.
2*q**3/7
What is l in l**5/6 - 5*l**4/6 - 29*l**3/6 + 37*l**2/6 + 14*l/3 - 16/3 = 0?
-4, -1, 1, 8
Factor -3*c**4/8 + 21*c**3/8 - 3*c**2/2 - 9*c/2.
-3*c*(c - 6)*(c - 2)*(c + 1)/8
Factor -4*o**4 - 4624*o**3 - 1783320*o**2 - 230045200*o - 228266500.
-4*(o + 1)*(o + 385)**3
Suppose 5*v**3 - 190*v**2 + 1600*v + 4000 = 0. Calculate v.
-2, 20
Factor q**4 - q**3 - 10*q**2 - 8*q.
q*(q - 4)*(q + 1)*(q + 2)
Factor -2*u**2/7 + 26*u/7 + 180/7.
-2*(u - 18)*(u + 5)/7
Let 3*o**5/4 + 99*o**4/2 - 537*o**3/2 - 147*o**2 + 3591*o/4 - 1065/2 = 0. What is o?
-71, -2, 1, 5
Factor -4*z**2 + 3224*z - 649636.
-4*(z - 403)**2
Determine h so that -4*h**2 + 3096*h + 3100 = 0.
-1, 775
Find n such that -n**3/3 - 20*n**2/3 + 32*n = 0.
-24, 0, 4
Solve -5*j**4 - 290*j**3 - 565*j**2 - 280*j = 0.
-56, -1, 0
Determine u so that -4*u**2 + 36*u + 40 = 0.
-1, 10
Factor 2*g**4/7 - 32*g**3/7 - 78*g**2/7 + 108*g/7.
2*g*(g - 18)*(g - 1)*(g + 3)/7
Factor -5*h**2 + 25*h.
-5*h*(h - 5)
Solve 135*s**5 - 459*s**4 + 57*s**3 + 1167*s**2 - 1200*s + 300 = 0.
-5/3, 2/5, 1, 5/3, 2
Determine m so that -16*m**3 + 44*m**2 - 20*m - 8 = 0.
-1/4, 1, 2
Suppose -5*r**4 + 25*r**3 = 0. Calculate r.
0, 5
What is k in -18*k**5 + 2274*k**4 + 3826*k**3 + 1790*k**2 + 256*k = 0?
-1, -1/3, 0, 128
Factor -4*o**5/3 - 22*o**4/3 - 12*o**3 - 8*o**2/3 + 16*o/3.
-2*o*(o + 2)**3*(2*o - 1)/3
Factor 669*n**5/5 + 535*n**4 + 2672*n**3/5 - 4*n**2/5.
n**2*(n + 2)**2*(669*n - 1)/5
Suppose -5*t**2 + 65*t + 240 = 0. What is t?
-3, 16
Suppose -2*h**4/7 + 10*h**3/7 + 24*h**2/7 - 152*h/7 + 160/7 = 0. Calculate h.
-4, 2, 5
Factor 2*m**4/9 - 62*m**3/3 - 386*m**2/9 + 190*m/3.
2*m*(m - 95)*(m - 1)*(m + 3)/9
Let z**2 + 8*z = 