iven that s**3/2 + 3*s**2 - 91*s/2 = 0.
-13, 0, 7
Let 3*a**5 + 51*a**4 + 222*a**3 - 96*a**2 - 1152*a = 0. What is a?
-8, -3, 0, 2
Factor -i**2/8 - 97*i/2 - 9409/2.
-(i + 194)**2/8
Let 7*y**3/5 - 1066*y**2/5 - 767*y/5 + 306/5 = 0. What is y?
-1, 2/7, 153
Solve -2*m**4 + 296*m**3 - 10952*m**2 = 0 for m.
0, 74
Factor -d**5 - d**4 + 3*d**3 + 5*d**2 + 2*d.
-d*(d - 2)*(d + 1)**3
Let -n**2 + 1414*n - 499849 = 0. What is n?
707
Factor 5*n**4 + 5*n**3 - 20*n**2 - 20*n.
5*n*(n - 2)*(n + 1)*(n + 2)
Let 2*n**2/7 + 2*n/7 = 0. Calculate n.
-1, 0
Determine k so that 98*k**3 - 364*k**2 - 320*k + 1600 = 0.
-2, 20/7
Find u such that 2*u**4/3 - 160*u**3/3 + 158*u**2/3 = 0.
0, 1, 79
Factor 3*t**4/4 - 675*t**3/4 + 47637*t**2/4 - 805089*t/4 - 4437351.
3*(t - 79)**3*(t + 12)/4
Factor v**3/7 + 38*v**2/7.
v**2*(v + 38)/7
Suppose 4*z**4 - 16*z**3 + 20*z**2 - 8*z = 0. What is z?
0, 1, 2
Factor -n**3/7 - 11*n**2/7 + 12*n/7.
-n*(n - 1)*(n + 12)/7
Find c such that 3*c**4/2 + 3*c**3/2 - 24*c**2 - 24*c = 0.
-4, -1, 0, 4
Determine h, given that -3*h**2/4 + 99*h/2 - 3267/4 = 0.
33
What is r in 3*r**2 + 72*r - 1920 = 0?
-40, 16
Factor 2*x**3 - 38*x**2 + 240*x - 504.
2*(x - 7)*(x - 6)**2
Find n, given that 4*n**2/3 + 44*n/3 - 104/3 = 0.
-13, 2
Determine c, given that 4*c**5 - 44*c**4 + 112*c**3 = 0.
0, 4, 7
Determine m, given that -m**3 - 24*m**2 - 23*m = 0.
-23, -1, 0
Factor z**3 + 29*z**2 + 51*z - 81.
(z - 1)*(z + 3)*(z + 27)
Factor 5*d**2 - 50*d + 105.
5*(d - 7)*(d - 3)
Find v, given that -3*v**5/4 - 45*v**4/4 - 93*v**3/2 - 51*v**2/2 + 189*v/4 + 147/4 = 0.
-7, -1, 1
Factor 3*q**2/8 - 903*q/2.
3*q*(q - 1204)/8
Factor 2*v**2 - 104*v - 216.
2*(v - 54)*(v + 2)
Factor -o**5/4 + 2015*o**4/4 - 812045*o**3/2 + 327254135*o**2/2 - 131883416405*o/4 + 10629803362243/4.
-(o - 403)**5/4
Determine i so that -27*i**5 - 102*i**4 - 111*i**3 - 24*i**2 + 12*i = 0.
-2, -1, 0, 2/9
Factor 7*p**4 - 19*p**3 - 6*p**2.
p**2*(p - 3)*(7*p + 2)
Factor -4*q**4 - 92*q**3 - 56*q**2 + 752*q + 1056.
-4*(q - 3)*(q + 2)**2*(q + 22)
Suppose -2*q**2 - 16104*q = 0. Calculate q.
-8052, 0
Factor h**2 + 117*h + 116.
(h + 1)*(h + 116)
Suppose 12*f**3 + 54*f**2/5 - 6*f/5 = 0. Calculate f.
-1, 0, 1/10
Factor 3*p**3/8 + 9*p**2 - 1191*p/8 - 315/2.
3*(p - 12)*(p + 1)*(p + 35)/8
What is l in -3*l**3/2 + 1665*l**2 - 924075*l/2 = 0?
0, 555
Factor -45*z**3 - 5100*z**2 + 3415*z - 570.
-5*(z + 114)*(3*z - 1)**2
Factor 2*j**3/5 - 12*j**2/5 + 16*j/5.
2*j*(j - 4)*(j - 2)/5
Factor 5*l**3 + 720*l**2 - 9180*l + 28080.
5*(l - 6)**2*(l + 156)
Suppose -2*w**5/3 - 50*w**4/3 - 314*w**3/3 - 250*w**2 - 204*w = 0. Calculate w.
-17, -3, -2, 0
Factor -l**2/3 - 30*l + 91/3.
-(l - 1)*(l + 91)/3
Find x, given that -70*x**4 - 104*x**3 + 18*x**2 + 68*x + 16 = 0.
-1, -2/7, 4/5
Let -3*d**3 - 2340*d**2 + 4689*d - 2346 = 0. Calculate d.
-782, 1
What is i in 2*i**2 + 114*i + 1600 = 0?
-32, -25
Let -b**2/2 + 407*b - 165649/2 = 0. What is b?
407
Find p such that -15*p**3/7 + 27*p**2/7 + 6*p/7 = 0.
-1/5, 0, 2
Factor 3*h**3/4 - 45*h**2/4 + 6*h + 63.
3*(h - 14)*(h - 3)*(h + 2)/4
Factor p**2 - 36*p - 37.
(p - 37)*(p + 1)
Suppose -2*g**4 + 60*g**3 - 54*g**2 - 116*g = 0. What is g?
-1, 0, 2, 29
Factor 30*x**4 + 325*x**3 + 930*x**2 + 45*x - 1890.
5*(x + 3)**2*(x + 6)*(6*x - 7)
Solve 9*c**2 - 15*c/2 - 21 = 0.
-7/6, 2
Factor 5*b**4 - 165*b**3 + 1300*b**2.
5*b**2*(b - 20)*(b - 13)
Solve -i**4/7 - 8*i**3/7 - 8*i**2/7 + 32*i/7 + 48/7 = 0.
-6, -2, 2
Find f, given that -4*f**2/9 + 280*f/9 - 4900/9 = 0.
35
What is z in -36*z**4/5 - 18564*z**3/5 - 12364*z**2/5 - 412*z = 0?
-515, -1/3, 0
Solve 5*q**5 - 375*q**4 + 4950*q**3 - 12850*q**2 - 42075*q - 23895 = 0 for q.
-1, 9, 59
Let 6*k**2/7 + 152*k/7 - 104/7 = 0. Calculate k.
-26, 2/3
Suppose 20*r**5/7 - 698*r**4/7 + 2486*r**3/7 - 2084*r**2/7 - 760*r/7 + 496/7 = 0. Calculate r.
-1/2, 2/5, 2, 31
Factor -42*b**2 - 38*b + 4.
-2*(b + 1)*(21*b - 2)
Find q such that -9*q**3/4 + 435*q**2/8 - 243*q/4 + 69/8 = 0.
1/6, 1, 23
Suppose -d**3 + 3*d - 2 = 0. What is d?
-2, 1
Factor 2*q**3/9 + 2*q**2 + 16*q/3 + 40/9.
2*(q + 2)**2*(q + 5)/9
Find x, given that -80*x**3 + 2760*x**2 - 1345*x - 510 = 0.
-1/4, 3/4, 34
Suppose -d**4 + 46*d**3 - 84*d**2 - 184*d + 352 = 0. Calculate d.
-2, 2, 44
Solve 3*i**4/2 + 9*i**3 - 48*i = 0 for i.
-4, 0, 2
Factor -5*i**3 + 75*i**2 - 40*i - 420.
-5*(i - 14)*(i - 3)*(i + 2)
Solve 5*o**3 - 605*o**2 - 20*o + 2420 = 0 for o.
-2, 2, 121
Factor -2*t**3 + 124*t**2 - 470*t + 348.
-2*(t - 58)*(t - 3)*(t - 1)
Find t, given that -2*t**4 - 54*t**3 - 384*t**2 - 232*t + 672 = 0.
-14, -12, -2, 1
Determine q so that 3*q**3/2 - 267*q**2/2 + 132*q = 0.
0, 1, 88
Solve 1156*u**5 - 1632*u**4 + 576*u**3 = 0 for u.
0, 12/17
Suppose 2*g**3/3 - 8*g**2 - 30*g = 0. Calculate g.
-3, 0, 15
Solve y**4 - 228*y**3 + 211*y**2 + 3612*y + 4540 = 0.
-2, 5, 227
Find u such that 2*u**2/7 - 26*u/7 + 72/7 = 0.
4, 9
Let 5*a**2/2 + 115*a/6 + 100/3 = 0. What is a?
-5, -8/3
Suppose -4*a**5 + 8*a**4 + 56*a**3 + 32*a**2 - 52*a - 40 = 0. Calculate a.
-2, -1, 1, 5
Factor -2*j**5/11 + 8*j**4/11 + 6*j**3/11 - 36*j**2/11.
-2*j**2*(j - 3)**2*(j + 2)/11
What is x in 2*x**2/5 + 228*x/5 + 6498/5 = 0?
-57
Let -5*n**3 + 20*n**2 - 25*n + 10 = 0. Calculate n.
1, 2
Solve -10*d**5 - 2124*d**4 + 5582*d**3 - 1728*d**2 - 1720*d = 0 for d.
-215, -2/5, 0, 1, 2
Suppose 2*x**4 - 16*x**3 - 62*x**2 - 44*x = 0. What is x?
-2, -1, 0, 11
Find j such that -35*j**3 + 9530*j**2 + 26155*j - 8250 = 0.
-3, 2/7, 275
Factor 7*p**2/3 + 113*p/3 + 16/3.
(p + 16)*(7*p + 1)/3
Determine l, given that l**4/2 + 2*l**3 + 2*l**2 = 0.
-2, 0
Factor 3*u**5 + 36*u**4 + 144*u**3 + 192*u**2.
3*u**2*(u + 4)**3
Determine v so that -2*v**3 - 13*v**2 - 5*v + 6 = 0.
-6, -1, 1/2
Solve 4*u**5 - 132*u**4 + 116*u**3 + 404*u**2 - 648*u + 256 = 0.
-2, 1, 32
Factor -p**2/3 - 266*p/3 + 89.
-(p - 1)*(p + 267)/3
Suppose -4*y**4 + 80*y**3 + 176*y**2 = 0. Calculate y.
-2, 0, 22
Suppose 2*t**2 - 34*t - 168 = 0. What is t?
-4, 21
Determine x, given that 2*x**3/3 + 700*x**2/3 - 2*x/3 - 700/3 = 0.
-350, -1, 1
Factor 5*s**2 + 870*s + 37845.
5*(s + 87)**2
Solve 2*p**2 + 626*p + 624 = 0 for p.
-312, -1
Factor -d**4/2 - 3*d**3/2 + 2*d**2.
-d**2*(d - 1)*(d + 4)/2
Suppose 2*m**4/7 + 18*m**3/7 - 232*m**2/7 - 72*m/7 + 128 = 0. Calculate m.
-16, -2, 2, 7
Determine o so that -2*o**4/3 + 2*o**3/3 + 50*o**2/3 - 50*o/3 = 0.
-5, 0, 1, 5
Find s, given that -15*s**2 - 40*s - 25 = 0.
-5/3, -1
Determine c, given that -3*c**2/4 - 33*c/2 - 63/4 = 0.
-21, -1
Solve k**2/7 - 18*k/7 - 319/7 = 0.
-11, 29
Find p such that 42*p**5 + 80*p**4 - 470*p**3 - 460*p**2 + 1560*p - 144 = 0.
-3, 2/21, 2
Factor -2*u**3/9 + 196*u**2/9 - 194*u/9.
-2*u*(u - 97)*(u - 1)/9
Suppose -2*n**2 - 450*n + 3248 = 0. Calculate n.
-232, 7
Solve 35*f**5/4 - 155*f**4/4 + 15*f**3 = 0 for f.
0, 3/7, 4
Solve -2*n**4/11 - 518*n**3/11 + 6*n**2/11 + 1558*n/11 + 1036/11 = 0 for n.
-259, -1, 2
Factor 2*y**2 + 36*y + 160.
2*(y + 8)*(y + 10)
Suppose 2*v**4/7 - 38*v**3 + 1764*v**2 - 31752*v + 148176 = 0. What is v?
7, 42
Factor 2*c**4 - 220*c**3 + 6258*c**2 - 11016*c - 17496.
2*(c - 54)**2*(c - 3)*(c + 1)
Solve -6*x**4/7 - 540*x**3/7 - 4518*x**2/7 - 1680*x - 7776/7 = 0.
-81, -4, -1
Find p such that -5*p**4 - 50*p**3 - 105*p**2 + 200*p + 500 = 0.
-5, -2, 2
Factor -t**3 + 101*t**2 - 2392*t - 8112.
-(t - 52)**2*(t + 3)
Factor 2*h**2/7 + 4*h + 66/7.
2*(h + 3)*(h + 11)/7
Find p such that 10*p**3 + 55*p**2 - 30*p = 0.
-6, 0, 1/2
Factor -2*q**3/3 - 14*q**2/3 - 22*q/3 - 10/3.
-2*(q + 1)**2*(q + 5)/3
Let z**5/2 + 8*z**4 + 21*z**3 + 20*z**2 + 13*z/2 = 0. Calculate z.
-13, -1, 0
Let m**5/7 + 16*m**4/7 + 54*m**3/7 + 76*m**2/7 + 7*m + 12/7 = 0. Calculate m.
-12, -1
Suppose u**5/5 - 23*u**4/5 + 77*u**3/5 - 13*u**2/5 - 114*u/5 = 0. Calculate u.
-1, 0, 2, 3, 19
Determine j, given that 40*j**4 + 380*j**3 + 1050*j**2 + 245*j - 1715 = 0.
-7/2, 1
Determine s, given that 2*s**5/9 + 8*s**4/9 + 2*s**3/9 - 4*s**2/3 = 0.
-3, -2, 0, 1
Find d, given that -2*d**3 + 338*d**2 - 13760*d - 44376 = 0.
-3, 86
Suppose -12*s**5 + 180*s**4 - 423*s**3 - 138*s**2 + 369*s - 108 = 0. What is s?
-1, 1/2, 3, 12
Factor 8*q**4 - 14*q**3 - 30*q**2 + 32*q + 40.
2*(q - 2)**2*(q + 1)*(4*q + 5)
Determine i, given that 4*i**2 + 8296*i - 16608 = 0.
-2076, 2
Factor h**4 + 40*h**3 + 525*h**2 + 2250*h.
h*(h + 10)*(h + 15)**2
Factor 2*a**2 - 2*