 - 21*s**2 - 81*s - 80.
-(s + 2)**2*(s + 80)/4
Factor 2*d**5/5 - 1238*d**4/5 + 57412*d**3 - 5900540*d**2 + 224922050*d + 230880250.
2*(d - 155)**4*(d + 1)/5
Let 4*z**3/7 - 520*z**2/7 - 4*z/7 + 520/7 = 0. Calculate z.
-1, 1, 130
Factor -3*c**3 - 789*c**2 - 52269*c - 51483.
-3*(c + 1)*(c + 131)**2
Solve -4*r**5 - 5*r**4 + 3*r**3 + 5*r**2 + r = 0 for r.
-1, -1/4, 0, 1
Suppose 14*w**3 + 31*w**2 + 20*w + 3 = 0. Calculate w.
-1, -3/14
Determine w so that w**4/7 - 52*w**3/7 + 50*w**2/7 + 52*w/7 - 51/7 = 0.
-1, 1, 51
Factor -8*l**3 + 54*l**2 + 254*l + 60.
-2*(l - 10)*(l + 3)*(4*l + 1)
Factor -98*u**3/5 - 126*u**2 - 150*u - 50.
-2*(u + 5)*(7*u + 5)**2/5
Factor 2*x**3/7 + 38*x**2/7 - 44*x/7 - 80/7.
2*(x - 2)*(x + 1)*(x + 20)/7
Factor 2*d**4 + 94*d**3 + 714*d**2 - 9558*d + 8748.
2*(d - 6)*(d - 1)*(d + 27)**2
Factor -2*y**2/5 - 276*y.
-2*y*(y + 690)/5
Factor 3*w**4 + 864*w**3 + 65568*w**2 + 483840*w + 940800.
3*(w + 4)**2*(w + 140)**2
Factor -31*v**2/4 - 43*v/4 - 3.
-(v + 1)*(31*v + 12)/4
Factor -2*i**3/17 + 16*i**2/17 + 22*i/17 - 36/17.
-2*(i - 9)*(i - 1)*(i + 2)/17
Factor m**4 - 3*m**3 - 4*m**2 + 12*m.
m*(m - 3)*(m - 2)*(m + 2)
Determine y, given that -16*y**5 + 44*y**4 - 40*y**3 + 12*y**2 = 0.
0, 3/4, 1
Let -2*w**5/5 - 106*w**4/5 + 116*w**3/5 + 424*w**2/5 - 432*w/5 = 0. What is w?
-54, -2, 0, 1, 2
Factor -10*z**3 - 746*z**2 - 4460*z + 1904.
-2*(z + 7)*(z + 68)*(5*z - 2)
Suppose 3*a**4/5 + 33*a**3/5 + 27*a**2 + 243*a/5 + 162/5 = 0. What is a?
-3, -2
Solve a**5 - 5*a**4 + 6*a**3 = 0 for a.
0, 2, 3
Factor q**5/7 + q**4 + 11*q**3/7 + 5*q**2/7.
q**2*(q + 1)**2*(q + 5)/7
Factor -2*t**4/7 - 18*t**3/7 - 4*t**2.
-2*t**2*(t + 2)*(t + 7)/7
Factor -2*w**5/17 - 14*w**4/17 - 38*w**3/17 - 50*w**2/17 - 32*w/17 - 8/17.
-2*(w + 1)**3*(w + 2)**2/17
Find y such that 18*y**4/17 - 14082*y**3/17 + 4682*y**2/17 + 7818*y/17 + 92 = 0.
-1/3, 1, 782
Find u such that -3*u**2 + 12*u + 36 = 0.
-2, 6
Find v, given that 4*v**3 + 100*v**2 + 828*v + 2268 = 0.
-9, -7
Let 2*i**5 + 42*i**4 + 256*i**3 + 360*i**2 = 0. Calculate i.
-10, -9, -2, 0
Solve -4*f**3 - 88*f**2 - 164*f - 80 = 0 for f.
-20, -1
Suppose -o**3/2 + o**2/2 + 8*o + 10 = 0. Calculate o.
-2, 5
Solve -3*v**2/2 + 3579*v - 4269747/2 = 0.
1193
Suppose -4*g**5 - 48*g**4 + 396*g**3 - 648*g**2 = 0. What is g?
-18, 0, 3
Factor -4*r**3/3 - 700*r**2/3 - 10324*r - 10092.
-4*(r + 1)*(r + 87)**2/3
Suppose -3*c**2/4 - 1281*c = 0. What is c?
-1708, 0
Determine h so that 3*h**4 + 39*h**3 - 93*h**2 - 759*h - 630 = 0.
-14, -3, -1, 5
Find y, given that 2*y**5/3 - 16*y**4/3 + 34*y**3/3 + 28*y**2/3 - 56*y + 48 = 0.
-2, 2, 3
Let s**2/3 - 2326*s/3 + 1352569/3 = 0. Calculate s.
1163
Suppose -h**4 + 841*h**3 + 3*h**2 - 2525*h + 1682 = 0. What is h?
-2, 1, 841
Find s, given that 3*s**3 + 3*s**2 = 0.
-1, 0
Factor 4*x**3 + 4*x**2 - 8*x.
4*x*(x - 1)*(x + 2)
Suppose 4*l**3 + 32*l**2 + 20*l - 200 = 0. Calculate l.
-5, 2
Determine v, given that -3*v**2/5 - 11682*v/5 - 11372427/5 = 0.
-1947
Let 2*m**2/7 - 702*m/7 + 100 = 0. Calculate m.
1, 350
Factor a**2/5 - 62*a/5.
a*(a - 62)/5
Suppose 4*c**2 - 32*c = 0. Calculate c.
0, 8
What is w in -4*w**5 - 29*w**4 - 11*w**3 + 107*w**2 - 45*w - 18 = 0?
-6, -3, -1/4, 1
Factor -x**3 - 46*x**2 - 568*x - 960.
-(x + 2)*(x + 20)*(x + 24)
Solve 5*c**2/2 + 9*c/2 + 2 = 0 for c.
-1, -4/5
Determine w, given that -6*w**4 + 39*w**3 - 90*w**2 + 87*w - 30 = 0.
1, 2, 5/2
Factor -2*q**2 - 210*q + 428.
-2*(q - 2)*(q + 107)
Determine o so that 2*o**2/9 + 16*o/3 = 0.
-24, 0
Find d such that -1083*d**4 + 2394*d**3 - 468*d**2 + 24*d = 0.
0, 2/19, 2
Factor -u**2/3 + 1907*u/3 - 1906/3.
-(u - 1906)*(u - 1)/3
Factor -10*l**2 + 45*l + 25.
-5*(l - 5)*(2*l + 1)
Suppose -4*v**4/5 - 8*v**3/5 + 76*v**2/5 - 112*v/5 + 48/5 = 0. What is v?
-6, 1, 2
Factor 4*a**4 + 324*a**3 + 948*a**2 + 940*a + 312.
4*(a + 1)**3*(a + 78)
Let 2*p**3 - 932*p**2/3 - 522*p - 628/3 = 0. Calculate p.
-1, -2/3, 157
Suppose -9*x**4/2 - 3*x**3 + 75*x**2/2 + 42*x - 18 = 0. What is x?
-2, 1/3, 3
Let 62675*q**3 + 25020*q**2 - 20*q = 0. What is q?
-2/5, 0, 2/2507
Factor -5*y**4 + 910*y**3 - 41400*y**2 - 910*y + 41405.
-5*(y - 91)**2*(y - 1)*(y + 1)
Factor 8*j**5/5 - 26*j**4/5 + 6*j**3/5.
2*j**3*(j - 3)*(4*j - 1)/5
Determine t so that t**3 + 352*t**2 + 701*t + 350 = 0.
-350, -1
Find r, given that -3*r**2/2 + 156*r + 318 = 0.
-2, 106
Find h, given that 697950*h**3 + 186795*h**2 + 12588*h + 12 = 0.
-2/15, -1/1034
Factor -35*h**3/3 + 1468*h**2/3 - 5117*h - 294.
-(h - 21)**2*(35*h + 2)/3
Factor -2*k**2 + 196*k + 606.
-2*(k - 101)*(k + 3)
Let 5*k**2 + 24900*k + 31000500 = 0. What is k?
-2490
Factor -12*o**4/5 + 56*o**3/5 - 5*o**2.
-o**2*(2*o - 1)*(6*o - 25)/5
Solve 2*x**3/11 - 2*x**2 + 68*x/11 - 48/11 = 0 for x.
1, 4, 6
Suppose -81*j**5 - 46170*j**4 + 92556*j**3 - 61746*j**2 + 17157*j - 1716 = 0. Calculate j.
-572, 1/3, 1
Solve -5*u**3 + 935*u**2 - 43240*u - 44180 = 0 for u.
-1, 94
Factor -3*l**3/7 - 510*l**2/7 - 7803*l/7.
-3*l*(l + 17)*(l + 153)/7
Factor -t**2 - 15*t + 34.
-(t - 2)*(t + 17)
Find h, given that 2*h**2 + 54*h - 116 = 0.
-29, 2
Factor 3*l**2/7 + 150*l/7 + 423/7.
3*(l + 3)*(l + 47)/7
Let 2*u**2/19 + 8*u/19 - 90/19 = 0. What is u?
-9, 5
Determine l so that -27*l**3/2 + 141*l**2 - 182*l/3 + 20/3 = 0.
2/9, 10
Determine z, given that z**2 - 36*z + 260 = 0.
10, 26
Determine h, given that -2*h**3/7 - 192*h**2/7 - 558*h/7 = 0.
-93, -3, 0
Suppose -4*u**3 + 372*u**2 - 1088*u + 720 = 0. What is u?
1, 2, 90
Find l such that 50*l**3 + 95*l**2 + 10*l - 35 = 0.
-7/5, -1, 1/2
Solve 7*p**4/5 + 78*p**3 + 3353*p**2/5 - 198*p = 0.
-45, -11, 0, 2/7
Factor -3*z**4/4 + 6*z**3 - 39*z**2/4 + 9*z/2.
-3*z*(z - 6)*(z - 1)**2/4
Factor -5*d**4 + 155*d**3 - 1520*d**2 + 4080*d + 5760.
-5*(d - 12)**2*(d - 8)*(d + 1)
Let 4*u**3 + 84*u**2 - 7128*u = 0. Calculate u.
-54, 0, 33
Factor 2*p**5/11 + 56*p**4/11 + 156*p**3/11 + 152*p**2/11 + 50*p/11.
2*p*(p + 1)**3*(p + 25)/11
Factor l**4/2 - 7*l**3/2 + 5*l**2/2 + 7*l/2 - 3.
(l - 6)*(l - 1)**2*(l + 1)/2
Suppose -l**2/3 + 898*l/3 - 201601/3 = 0. Calculate l.
449
Find x, given that -5*x**4 - 160*x**3 + 5*x**2 + 160*x = 0.
-32, -1, 0, 1
Factor 2*o**3 + 172*o**2 + 822*o + 972.
2*(o + 2)*(o + 3)*(o + 81)
What is y in 2*y**4/23 - 158*y**3/23 + 714*y**2/23 + 1910*y/23 + 1036/23 = 0?
-1, 7, 74
Solve 2*k**4/13 + 24*k**3/13 - 54*k**2/13 + 28*k/13 = 0.
-14, 0, 1
Let 5880*w**4 + 8596*w**3 - 5960*w**2 + 752*w + 32 = 0. Calculate w.
-2, -1/30, 2/7
Solve 5*k**5 - 215*k**4 - 1410*k**3 - 2900*k**2 - 1960*k = 0 for k.
-2, 0, 49
Factor 5*g**3 + 175*g**2 + 1875*g + 5625.
5*(g + 5)*(g + 15)**2
Factor 2*z**2/3 - 284*z.
2*z*(z - 426)/3
Solve -j**3 + 849*j**2/4 - 22995*j/2 + 99225/4 = 0 for j.
9/4, 105
Factor 3*i**4 + 7464*i**3 + 6185160*i**2 + 1702960800*i - 3430722000.
3*(i - 2)*(i + 830)**3
Factor -5*k**2 - 1220*k - 1215.
-5*(k + 1)*(k + 243)
Suppose -z**3/2 - 5*z**2 + 34*z + 84 = 0. Calculate z.
-14, -2, 6
Find w, given that 4*w**2/7 - 1660*w/7 + 1656/7 = 0.
1, 414
Factor -2*x**3/7 + 2*x**2 + 14*x - 98.
-2*(x - 7)**2*(x + 7)/7
Let 2*v**4/19 + 8*v**3/19 - 120*v**2/19 - 576*v/19 = 0. Calculate v.
-6, 0, 8
Factor -4*d**4 + 24*d**3 + 140*d**2 + 192*d + 80.
-4*(d - 10)*(d + 1)**2*(d + 2)
Solve -5*n**5 - 1755*n**4 + 3525*n**3 - 1765*n**2 = 0.
-353, 0, 1
Factor 2*x**4/17 + 4*x**3/17 - 26*x**2/17 + 20*x/17.
2*x*(x - 2)*(x - 1)*(x + 5)/17
Solve 2*p**3/3 + 80*p**2 - 242*p/3 = 0 for p.
-121, 0, 1
Suppose 2*h**5 - 18*h**4 + 58*h**3 - 78*h**2 + 36*h = 0. What is h?
0, 1, 2, 3
What is g in 5329*g**5 - 5475*g**4 - 21169*g**3 + 21899*g**2 - 588*g + 4 = 0?
-2, 1/73, 1, 2
Find q, given that q**5 - q**4 - q**3 + q**2 = 0.
-1, 0, 1
Suppose 3*f**5 + 33*f**4 - 75*f**3 + 39*f**2 = 0. Calculate f.
-13, 0, 1
Solve 4*k**4 + 56*k**3 + 276*k**2 + 560*k + 400 = 0 for k.
-5, -2
Let -4*r**3 + 172*r**2 - 540*r - 3276 = 0. Calculate r.
-3, 7, 39
Suppose 2*n**4/13 - 30*n**3/13 - 8*n**2 - 72*n/13 = 0. Calculate n.
-2, -1, 0, 18
Suppose -2*w**5/3 - 25*w**4 - 949*w**3/3 - 4432*w**2/3 - 1708*w - 1568/3 = 0. What is w?
-14, -8, -1, -1/2
Let 4*y**2/3 + 1060*y/3 = 0. Calculate y.
-265, 0
Determine r so that -2*r**4/3 - 20*r**3 - 166*r**2 - 1616*r/3 - 608 = 0.
-19, -4, -3
Let -3*y**3 + 81*y + 162 = 0. Calculate y.
-3, 6
Determine o, given that -2*o**2/11 - 2*o/11 + 12/11 = 0.
-3, 2
Determine u, given that -2*u**3/5 - 1656*