)**2
Solve 2*q**4 - 40*q**3 - 52*q**2 + 216*q - 126 = 0 for q.
-3, 1, 21
Factor 26*s**3 + 82*s**2 + 12*s.
2*s*(s + 3)*(13*s + 2)
Let -n**5/4 + 2*n**4 - 11*n**3/2 + 7*n**2 - 17*n/4 + 1 = 0. Calculate n.
1, 4
Let -2*k**5/3 + 2*k**4/3 + 20*k**3/3 + 16*k**2/3 = 0. What is k?
-2, -1, 0, 4
Factor y**4/3 - 2*y**3/3.
y**3*(y - 2)/3
What is f in -f**2/5 - 5*f + 396/5 = 0?
-36, 11
Let -c**2/5 + 64*c/5 - 63/5 = 0. What is c?
1, 63
Factor -9*f**2/2 - 107*f/2 + 6.
-(f + 12)*(9*f - 1)/2
Find i such that -3*i**2 + 13134*i - 14375163 = 0.
2189
Solve -5*q**2 - 5650*q - 1596125 = 0 for q.
-565
Determine n, given that -n**2 + 100*n + 309 = 0.
-3, 103
Find v such that -v**5/3 - v**4 + 2*v**3/3 + 2*v**2 - v/3 - 1 = 0.
-3, -1, 1
Factor -t**2 - 9*t + 10.
-(t - 1)*(t + 10)
Let -3*p**5 + 342*p**4 + 693*p**3 + 348*p**2 = 0. Calculate p.
-1, 0, 116
Factor w**5/3 + 10*w**4/3 - 12*w**3 - 158*w**2/3 - 173*w/3 - 20.
(w - 5)*(w + 1)**3*(w + 12)/3
Factor 3*g**2/2 + 45*g/2 + 21.
3*(g + 1)*(g + 14)/2
Factor 4*f**3/9 - 112*f**2/9 - 496*f/9 - 512/9.
4*(f - 32)*(f + 2)**2/9
Solve -2*w**5/15 - 2*w**4/15 + 2*w**3/15 + 2*w**2/15 = 0.
-1, 0, 1
Factor -28*o**3 - 320*o**2 - 816*o + 576.
-4*(o + 6)**2*(7*o - 4)
Solve -5*z**2/6 - 103*z/6 + 7 = 0.
-21, 2/5
Factor -6*u**2 + 27*u/7 + 15/7.
-3*(u - 1)*(14*u + 5)/7
Factor 2*v**2/7 - 8*v/7 - 6.
2*(v - 7)*(v + 3)/7
Find h such that -h**5 - 5*h**4 + 7*h**3 + 5*h**2 - 6*h = 0.
-6, -1, 0, 1
What is r in -7*r**2/6 + 314*r/3 + 30 = 0?
-2/7, 90
What is m in m**3/6 + 513*m**2/2 + 263169*m/2 + 45001899/2 = 0?
-513
Solve -2*w**2 + 308*w - 11858 = 0.
77
Suppose 5*x**3 + 35*x**2 + 35*x - 75 = 0. What is x?
-5, -3, 1
Factor 4*l**2 + 1452*l.
4*l*(l + 363)
Suppose -4*s**5/5 - 4*s**4/5 + 128*s**3/5 + 48*s**2 = 0. Calculate s.
-5, -2, 0, 6
Solve 2*a**3/9 + 44*a**2/9 = 0.
-22, 0
Factor -2*o**3/3 + 2*o**2/3 + 2*o/3 - 2/3.
-2*(o - 1)**2*(o + 1)/3
Solve 2*x**2/9 - 8*x/3 - 26/9 = 0 for x.
-1, 13
Factor 3*m**3 - 105*m**2 + 864*m + 972.
3*(m - 18)**2*(m + 1)
Solve m**4 - 16*m**3 + 64*m**2 = 0 for m.
0, 8
Find j, given that j**4 + 244*j**3 + 485*j**2 + 242*j = 0.
-242, -1, 0
Solve -18*s**5 + 36*s**4 + 50*s**3 + 12*s**2 = 0 for s.
-2/3, -1/3, 0, 3
What is v in -v**5 + 129*v**4 - 379*v**3 + 123*v**2 + 380*v - 252 = 0?
-1, 1, 2, 126
Determine t so that 3*t**5 + 99*t**4 - 432*t**3 + 444*t**2 = 0.
-37, 0, 2
Factor 68*h**4 + 212*h**3 + 160*h**2 + 16*h.
4*h*(h + 1)*(h + 2)*(17*h + 2)
Factor 2*b**3/11 - 1156*b**2/11 - 2320*b/11.
2*b*(b - 580)*(b + 2)/11
Determine o so that -o**5/4 - 169*o**4/4 + o**3 + 169*o**2 = 0.
-169, -2, 0, 2
Let 15*f**5 + 399*f**4 + 228*f**3 - 156*f**2 = 0. Calculate f.
-26, -1, 0, 2/5
Factor 2*o**2/7 - 24*o/7.
2*o*(o - 12)/7
Find n, given that n**4/8 - 11*n**3/8 - 97*n**2/8 - 85*n/8 = 0.
-5, -1, 0, 17
Determine n, given that -5*n**3 + 45*n**2 - 55*n - 105 = 0.
-1, 3, 7
Factor -2*c**2/5 - 14*c/5.
-2*c*(c + 7)/5
Factor -5*x**4 + 235*x**3 + 750*x**2 + 20*x - 1000.
-5*(x - 50)*(x - 1)*(x + 2)**2
Let 2*m**4 + 46*m**3 + 126*m**2 + 122*m + 40 = 0. Calculate m.
-20, -1
Solve -2*k**2 - 7264*k - 6595712 = 0 for k.
-1816
Factor -6*s**2/5 + 1794*s/5 - 1788/5.
-6*(s - 298)*(s - 1)/5
Factor -x**3/3 + 12*x**2 - 44*x + 128/3.
-(x - 32)*(x - 2)**2/3
Solve 2*l**5/9 + 40*l**4/3 + 598*l**3/3 - 364*l**2/9 - 1880*l/3 - 400 = 0.
-30, -1, 2
Let 5*f**3 + 485*f**2 + 11515*f - 12005 = 0. What is f?
-49, 1
Determine k, given that -2*k**2/5 + 58*k/5 - 56/5 = 0.
1, 28
Factor 5*x**3 + 105*x**2 + 315*x - 425.
5*(x - 1)*(x + 5)*(x + 17)
What is m in -4*m**2/3 + 20*m/3 + 200 = 0?
-10, 15
Suppose -10*v**5 + 8*v**4 + 342*v**3/5 + 4*v**2 - 184*v/5 + 48/5 = 0. What is v?
-2, -1, 2/5, 3
Determine n so that 3*n**2/8 + 1017*n + 689526 = 0.
-1356
Solve 21*h**4/5 + 237*h**3/5 + 612*h**2/5 + 492*h/5 + 96/5 = 0.
-8, -2, -1, -2/7
Factor -2*l**3 + 226*l**2 + 2*l - 226.
-2*(l - 113)*(l - 1)*(l + 1)
Let -w**3 + 3685*w**2 - 7367*w + 3683 = 0. What is w?
1, 3683
Factor 5*k**4 - 205*k**3 - 210*k**2.
5*k**2*(k - 42)*(k + 1)
Factor -2*c**4/15 + 4*c**3/15 + 8*c**2/5 + 28*c/15 + 2/3.
-2*(c - 5)*(c + 1)**3/15
Factor j**4 - 43*j**3 - 3*j**2 + 127*j + 86.
(j - 43)*(j - 2)*(j + 1)**2
What is d in d**4/3 + 2*d**3 - d**2/3 - 2*d = 0?
-6, -1, 0, 1
Factor 4*m**3/3 - 14*m**2/9 - 22*m/9 + 4/9.
2*(m - 2)*(m + 1)*(6*m - 1)/9
Suppose 3*t**4 - 5808*t**3 + 4216608*t**2 - 1360558848*t + 164627620608 = 0. Calculate t.
484
Factor -d**2/6 - 18*d - 105/2.
-(d + 3)*(d + 105)/6
Factor 2*m**5 - 18*m**4 - 42*m**3 - 22*m**2.
2*m**2*(m - 11)*(m + 1)**2
Let -5*t**5 - 790*t**4 + 15*t**3 + 2360*t**2 - 1580*t = 0. What is t?
-158, -2, 0, 1
Find v, given that v**4/3 - 10*v**3/3 - 23*v**2/3 - 4*v = 0.
-1, 0, 12
Suppose -5*m**4 + 193*m**3 - 297*m**2 + 35*m + 74 = 0. Calculate m.
-2/5, 1, 37
Let -2*o**5/13 - 4*o**4/13 + 14*o**3/13 + 40*o**2/13 + 24*o/13 = 0. What is o?
-2, -1, 0, 3
Factor -5*o**3 + 10*o**2 + 5*o - 10.
-5*(o - 2)*(o - 1)*(o + 1)
Determine g, given that 3*g**4 - 42*g**3 - 153*g**2 = 0.
-3, 0, 17
What is r in -r**2 - 325*r - 324 = 0?
-324, -1
Let 100*w**3 + 340*w**2 - 152*w - 288 = 0. What is w?
-18/5, -4/5, 1
Solve -x**2/5 - 4*x/5 - 3/5 = 0 for x.
-3, -1
Factor 2*x**3/9 + 10*x**2/3 - 16*x + 152/9.
2*(x - 2)**2*(x + 19)/9
Factor -4*k**3 + 148*k**2 + 308*k + 156.
-4*(k - 39)*(k + 1)**2
What is b in -24*b**5/5 - 846*b**4/5 - 138*b**3/5 + 498*b**2 - 1062*b/5 - 84 = 0?
-35, -2, -1/4, 1
Factor -w**3/4 + w**2/4 + 25*w/2 + 12.
-(w - 8)*(w + 1)*(w + 6)/4
Let -5*p**5 - 40*p**4 - 20*p**3 + 110*p**2 + 25*p - 70 = 0. Calculate p.
-7, -2, -1, 1
Solve k**4 - 294*k**3 + 21608*k**2 + 294*k - 21609 = 0.
-1, 1, 147
Factor -2*r**5 + 20*r**4 - 48*r**3 - 64*r**2 + 256*r.
-2*r*(r - 4)**3*(r + 2)
Factor i**2 + 710*i + 126025.
(i + 355)**2
Factor -98*o**2/3 - 182*o/3 - 169/6.
-(14*o + 13)**2/6
Factor -3*n**4 - 219*n**3 - 795*n**2 + 2259*n - 1242.
-3*(n - 1)**2*(n + 6)*(n + 69)
Find f such that 4*f**4 + 2000*f**3 + 253968*f**2 + 992000*f + 984064 = 0.
-248, -2
Factor 2*d**2 - 26*d - 60.
2*(d - 15)*(d + 2)
Factor 5*r**4 - 100*r**3 - 60*r**2 + 5600*r + 15680.
5*(r - 14)**2*(r + 4)**2
Suppose -2*i**5/5 - 5*i**4 - 23*i**3/5 + 122*i**2/5 + 124*i/5 - 88/5 = 0. Calculate i.
-11, -2, 1/2, 2
Find x such that x**4 + 30*x**3 - 31*x**2 = 0.
-31, 0, 1
Let -d**3/4 + 52*d**2 + 633*d/4 = 0. Calculate d.
-3, 0, 211
Solve 21*b**3 + 195*b**2 + 2376*b/7 - 3888/7 = 0 for b.
-36/7, 1
Determine m, given that -m**2/3 - 317*m/3 - 210 = 0.
-315, -2
Suppose 5*g**3 + 1075*g**2 - 4380*g = 0. What is g?
-219, 0, 4
Let -5*x**4 - 870*x**3 + 2700*x**2 + 7830*x - 23895 = 0. What is x?
-177, -3, 3
Let -2*l**3/15 - 586*l**2/5 - 171698*l/5 - 50307514/15 = 0. Calculate l.
-293
Determine v so that v**3/2 - 13*v**2/2 - 95*v - 88 = 0.
-8, -1, 22
Suppose t**5/6 - 73*t**4/6 + 201*t**3 + 2534*t**2/3 - 6308*t/3 - 5776 = 0. What is t?
-4, -2, 3, 38
Let -5*i**2 + 130*i - 845 = 0. What is i?
13
Let g**3 + 36*g**2 = 0. Calculate g.
-36, 0
Solve 5*n**5 + 50*n**4 + 135*n**3 + 90*n**2 = 0 for n.
-6, -3, -1, 0
Factor -2*y**3/5 + 18*y**2/5 + 72*y/5.
-2*y*(y - 12)*(y + 3)/5
Factor -f**2/4 + 167*f/4 + 42.
-(f - 168)*(f + 1)/4
Solve 3*m**5 - 24*m**4 + 6*m**3 + 96*m**2 + 63*m = 0 for m.
-1, 0, 3, 7
Factor l**3 - 277*l**2 + 19043*l + 19321.
(l - 139)**2*(l + 1)
Solve -2*w**3/3 + 8*w**2/3 - 2*w = 0.
0, 1, 3
Factor -2*v**5/17 + 144*v**4/17 - 280*v**3/17.
-2*v**3*(v - 70)*(v - 2)/17
Factor -l**3/2 - 9*l**2/4 + 27/4.
-(l + 3)**2*(2*l - 3)/4
Factor -i**2 - i.
-i*(i + 1)
Factor 4*v**2 + 8744*v + 4778596.
4*(v + 1093)**2
Determine d, given that d**3 - 9*d**2 + 14*d + 24 = 0.
-1, 4, 6
Suppose -3*f**2 - 240*f - 1728 = 0. Calculate f.
-72, -8
Let -t**4 - 7*t**3/2 + 15*t**2/2 - t/2 - 5/2 = 0. What is t?
-5, -1/2, 1
Let 5*x**3 + 415*x**2 + 3280*x - 3700 = 0. Calculate x.
-74, -10, 1
Suppose m**3/5 - 9*m**2 - 768*m/5 + 812/5 = 0. What is m?
-14, 1, 58
Factor -2*g**3 + 38*g**2 + 2*g - 38.
-2*(g - 19)*(g - 1)*(g + 1)
Find s, given that s**3/2 - s**2 - 33*s/2 + 45 = 0.
-6, 3, 5
Find j, given that 3*j**2 - 204*j - 207 = 0.
-1, 69
Let -r**2/5 + 19*r/5 + 58 = 0. What is r?
-10, 29
Let -5*x**2 - 455*x - 450 = 0. What is x?
-90, -1
Factor -40*q**3 + 15*q**2.
-5*q**2*(8*q - 3)
Suppose 4*b**2/5 - 46*b/15 + 2 = 0. What is b?
5/6, 3
Factor 36*z**4 + 1536*z**3 + 20344*z**2 + 84480*z + 108900.
4*(z + 3)**2*(3*z + 55)**2
Find j such