**3 - 3*m**2 - 99*m = 0. What is m?
-33, -1, 0, 1
Factor 4*y**5 - 8*y**4 - 20*y**3 + 24*y**2.
4*y**2*(y - 3)*(y - 1)*(y + 2)
What is v in 5*v**3 - 2800*v**2 - 8435*v - 5630 = 0?
-2, -1, 563
Factor x**2/9 + 3394*x/9 + 2879809/9.
(x + 1697)**2/9
Determine m, given that 5*m**3 + 125*m**2 = 0.
-25, 0
Factor -p**2/4 - 7*p - 75/4.
-(p + 3)*(p + 25)/4
Factor 2*p**2/11 + 3508*p/11 + 1538258/11.
2*(p + 877)**2/11
Factor 2*l**4/7 - 80*l**3/7 + 716*l**2/7 + 240*l + 126.
2*(l - 21)**2*(l + 1)**2/7
Find x such that x**5/5 - 2*x**4 + 6*x**3 - 8*x**2 + 5*x - 6/5 = 0.
1, 6
Solve 12*d**3 + 45*d**2 - 12*d = 0.
-4, 0, 1/4
Solve p**3/4 + 235*p**2 + 55692*p + 219024 = 0 for p.
-468, -4
Solve 5*u**4 + 55*u**3 + 55*u**2 - 295*u + 180 = 0 for u.
-9, -4, 1
Find n, given that 5*n**5 - 60*n**4 + 260*n**3 - 480*n**2 + 320*n = 0.
0, 2, 4
Factor -j**2 - 24*j + 52.
-(j - 2)*(j + 26)
Factor 2*p**5 + 66*p**4 - 140*p**3 + 4*p**2 + 138*p - 70.
2*(p - 1)**3*(p + 1)*(p + 35)
Find i such that 4*i**4 - 36*i**3 = 0.
0, 9
Factor 2*w**2/5 + 32*w/5 + 56/5.
2*(w + 2)*(w + 14)/5
Factor -2*d**4/7 + 6*d**3 - 78*d**2/7 - 1690*d/7.
-2*d*(d - 13)**2*(d + 5)/7
Factor -4*l**2/3 + 56*l/3 - 60.
-4*(l - 9)*(l - 5)/3
Solve -4*n**4 + 156*n**3 + 160*n**2 = 0.
-1, 0, 40
Factor q**2/2 + 375*q + 2241/2.
(q + 3)*(q + 747)/2
What is t in 4*t**5 + 36*t**4 - 148*t**3 - 1108*t**2 + 2496*t - 1280 = 0?
-8, 1, 5
Suppose z**5/3 - 25*z**4/3 + 47*z**3/3 - 23*z**2/3 = 0. What is z?
0, 1, 23
Factor 5*v**4 - 10*v**3 - 35*v**2 + 100*v - 60.
5*(v - 2)**2*(v - 1)*(v + 3)
Factor -2*w**2/11 - 1962*w/11 + 1964/11.
-2*(w - 1)*(w + 982)/11
Factor 15*o**2 - 42*o - 9.
3*(o - 3)*(5*o + 1)
Let a**3/3 + a**2/3 - 64*a/3 - 64/3 = 0. Calculate a.
-8, -1, 8
Factor 9*d**4/5 - 13*d**3 + 104*d**2/5 - 4*d.
d*(d - 5)*(d - 2)*(9*d - 2)/5
Find z, given that -2*z**2/5 + 48*z/5 = 0.
0, 24
Factor -2*w**3/9 + 20*w**2/9 - 46*w/9 + 28/9.
-2*(w - 7)*(w - 2)*(w - 1)/9
Factor -l**4/2 - 3*l**3/2 + 6*l**2 + 26*l + 24.
-(l - 4)*(l + 2)**2*(l + 3)/2
Let 2*f**4/3 - 2*f**3/3 - 10*f**2/3 - 2*f = 0. Calculate f.
-1, 0, 3
Factor -2*o**3/3 + 94*o**2/3 - 92*o/3.
-2*o*(o - 46)*(o - 1)/3
Suppose -5*a**2/3 - 530*a - 4635 = 0. What is a?
-309, -9
Let 3*f**4 - 96*f**3 + 426*f**2 - 576*f + 243 = 0. Calculate f.
1, 3, 27
What is j in 675*j**5 - 20*j**4 - 1350*j**3 + 40*j**2 + 675*j - 20 = 0?
-1, 4/135, 1
Factor -3*q**3 + 3*q.
-3*q*(q - 1)*(q + 1)
Suppose 3*q**4 - 558*q**3 + 1644*q**2 + 558*q - 1647 = 0. What is q?
-1, 1, 3, 183
Find w such that -4*w**3 - 1364*w**2 - 5408*w - 5392 = 0.
-337, -2
Factor x**5/2 + 5*x**4 + 31*x**3/2 + 13*x**2 - 14*x - 20.
(x - 1)*(x + 2)**3*(x + 5)/2
Factor -3*g**5 - 9*g**4 + 3*g**3 + 33*g**2 + 36*g + 12.
-3*(g - 2)*(g + 1)**3*(g + 2)
Factor 2*d**4 + 16*d**3 + 42*d**2 + 36*d.
2*d*(d + 2)*(d + 3)**2
What is b in -2*b**3/13 + 44*b**2/13 + 200*b/13 + 16 = 0?
-2, 26
Find i, given that i**2/2 + 1132*i + 640712 = 0.
-1132
Factor 4*q**3/3 + 260*q**2 - 2368*q/3 + 528.
4*(q - 2)*(q - 1)*(q + 198)/3
Solve -t**2/5 + 67*t/5 + 138/5 = 0.
-2, 69
Suppose 2*l**4 + 288*l**3 + 13200*l**2 + 160000*l - 1500000 = 0. Calculate l.
-50, 6
Factor 2*i**4/7 + 8*i**3/7 + 4*i**2/7 - 8*i/7 - 6/7.
2*(i - 1)*(i + 1)**2*(i + 3)/7
Suppose -16*g**3/3 - 224*g**2 - 220*g - 164/3 = 0. Calculate g.
-41, -1/2
Let -3*x**3 + 3*x**2 + 15*x + 9 = 0. What is x?
-1, 3
Find y, given that -2*y**2/5 + 202*y/5 = 0.
0, 101
Solve 15*c**3 - 14799*c**2/4 + 2400*c - 369 = 0 for c.
1/4, 2/5, 246
Let 484*u**3/5 + 8932*u**2/5 - 996*u + 684/5 = 0. What is u?
-19, 3/11
Solve y**5/8 - 483*y**4/8 + 56115*y**3/8 + 531387*y**2/8 + 202581*y + 408483/2 = 0.
-3, 246
Factor 3*w**4 - 27*w**3 + 45*w**2 - 21*w.
3*w*(w - 7)*(w - 1)**2
Let -f**5/3 + 34*f**4/3 - 51*f**3 + 236*f**2/3 - 116*f/3 = 0. Calculate f.
0, 1, 2, 29
What is w in -w**2 + 366*w - 33489 = 0?
183
Solve 98*a**5 - 4662*a**4 + 11460*a**3 - 5416*a**2 + 720*a = 0 for a.
0, 2/7, 2, 45
Factor 145924*q**2/5 + 10696*q/5 + 196/5.
4*(191*q + 7)**2/5
Find f such that f**2 + 323*f + 642 = 0.
-321, -2
Solve 5*o**4 + 25*o**3 - 220*o**2 + 300*o = 0.
-10, 0, 2, 3
Let -4*j**2 + 4*j + 224 = 0. Calculate j.
-7, 8
Let j**4/2 - 123*j**2/2 - 121*j - 60 = 0. Calculate j.
-10, -1, 12
Solve u**4 + 480*u**3 + 55150*u**2 - 588000*u + 1500625 = 0 for u.
-245, 5
Solve d**2 - 21*d - 46 = 0 for d.
-2, 23
Factor -3*v**3 - 156*v**2 - 303*v - 150.
-3*(v + 1)**2*(v + 50)
Factor -33*r**5 - 39*r**4 - 6*r**3.
-3*r**3*(r + 1)*(11*r + 2)
Suppose -8*r**2/7 + 46*r/7 - 66/7 = 0. Calculate r.
11/4, 3
Let 8*z**5/11 - 80*z**4 + 31970*z**3/11 - 372590*z**2/11 - 397010*z/11 - 101306/11 = 0. What is z?
-1/2, 37
Factor y**4/3 - 5*y**3/3 - 23*y**2 - 57*y - 36.
(y - 12)*(y + 1)*(y + 3)**2/3
Factor 2*r**3 - 48*r**2 + 130*r - 84.
2*(r - 21)*(r - 2)*(r - 1)
Factor 33*g**2 - 852*g - 156.
3*(g - 26)*(11*g + 2)
Factor -n**3/3 + 208*n**2/3 - 412*n/3.
-n*(n - 206)*(n - 2)/3
Factor -5*y**2 + 95*y.
-5*y*(y - 19)
Determine q so that q**5 - 17*q**4 + 78*q**3 - 32*q**2 - 128*q = 0.
-1, 0, 2, 8
Determine g, given that -g**4/4 - 5*g**3/2 - 21*g**2/4 = 0.
-7, -3, 0
Factor -t**3 - 24*t**2 - 119*t.
-t*(t + 7)*(t + 17)
Factor -2*f**3 + 46*f**2 - 240*f - 288.
-2*(f - 12)**2*(f + 1)
Factor 3*i**3/8 - 3*i**2 - 57*i/8 - 15/4.
3*(i - 10)*(i + 1)**2/8
What is z in -3*z**4/4 + 267*z**3/4 - 453*z**2 - 2637*z - 2916 = 0?
-2, 12, 81
Solve 243*i**2 + 28296*i + 823728 = 0 for i.
-524/9
Suppose p**5/2 + 4*p**4 + 6*p**3 = 0. Calculate p.
-6, -2, 0
Solve 2*z**3/5 + 22*z**2/5 + 14*z + 10 = 0.
-5, -1
Solve -20*s**3 + 24172*s**2 - 7310816*s + 4377792 = 0.
3/5, 604
Factor -49*s**3 - 917*s**2 - 636*s - 108.
-(s + 18)*(7*s + 2)*(7*s + 3)
Factor -x**5/5 + x**4/5.
-x**4*(x - 1)/5
Factor j**3/3 + 42*j**2 + 1475*j + 27848/3.
(j + 8)*(j + 59)**2/3
Solve -s**3 + 68*s**2 - 67*s = 0.
0, 1, 67
Factor c**2/3 - 79*c/9 - 140/9.
(c - 28)*(3*c + 5)/9
Factor 4*z**4 - 256*z**3 + 3832*z**2 + 8448*z + 4356.
4*(z - 33)**2*(z + 1)**2
Factor -2*s**4 + 1636*s**3 - 1634*s**2.
-2*s**2*(s - 817)*(s - 1)
Solve 50*s**3/19 + 8510*s**2/19 - 6832*s/19 + 72 = 0 for s.
-171, 2/5
Factor 2*s**3/5 + 58*s**2/5 - 258*s/5 + 198/5.
2*(s - 3)*(s - 1)*(s + 33)/5
Factor -m**4/6 - 101*m**3/6 - 712*m**2/3 - 2720*m/3.
-m*(m + 8)**2*(m + 85)/6
Solve -3*o**2 - 7446*o + 7449 = 0.
-2483, 1
Factor y**3/7 + 2*y**2 + 13*y/7.
y*(y + 1)*(y + 13)/7
What is v in v**2/3 + 3866*v/3 - 1289 = 0?
-3867, 1
Suppose -4*o**3/7 - 440*o**2/7 + 3712*o/7 - 7552/7 = 0. What is o?
-118, 4
Factor 2*z**5/5 + 24*z**4/5 - 986*z**3/5.
2*z**3*(z - 17)*(z + 29)/5
Let -3*z**2/4 + 33*z/4 - 27/2 = 0. What is z?
2, 9
Let 2*d**2/5 - 16588*d/5 + 34395218/5 = 0. What is d?
4147
Determine o, given that 5*o**4 - 510*o**3 + 17945*o**2 - 251940*o + 1220180 = 0.
13, 38
What is i in 245*i**3 + 11165*i**2 + 6320*i + 900 = 0?
-45, -2/7
Factor 8*i**5/7 - 24*i**4/7 + 18*i**3/7 - 4*i**2/7.
2*i**2*(i - 2)*(2*i - 1)**2/7
Suppose -6*v**2/7 - 6*v/7 + 36/7 = 0. Calculate v.
-3, 2
Determine v, given that -v**2 - 16*v + 17 = 0.
-17, 1
Determine o so that -o**4/5 + o**3/5 + 13*o**2/5 - o/5 - 12/5 = 0.
-3, -1, 1, 4
Factor -o**3 + 15*o**2/4 + 22*o + 21/4.
-(o - 7)*(o + 3)*(4*o + 1)/4
Factor -k**3/2 + k**2/2 + k.
-k*(k - 2)*(k + 1)/2
Suppose -j**3 + 64*j**2 - 957*j - 2178 = 0. Calculate j.
-2, 33
Factor 3*u**3 - 120*u**2 + 111*u + 234.
3*(u - 39)*(u - 2)*(u + 1)
Find m, given that -5*m**3 - 35*m**2 - 40*m + 80 = 0.
-4, 1
Find l such that 5*l**4 + 73*l**3 - 200*l**2 + 68*l = 0.
-17, 0, 2/5, 2
Determine f so that -2*f**4/3 + 1466*f**3/3 - 1462*f**2 + 4382*f/3 - 1460/3 = 0.
1, 730
Determine g, given that g**3/3 + 34*g**2/3 - 157*g/3 - 190/3 = 0.
-38, -1, 5
What is g in 845*g**2 + 100100*g + 2964500 = 0?
-770/13
What is h in h**2/5 - 44*h/5 + 43/5 = 0?
1, 43
Solve 5*v**4 + 60*v**3 + 105*v**2 + 50*v = 0 for v.
-10, -1, 0
Suppose -3*x**4/5 + 51*x**3 + 258*x**2/5 = 0. What is x?
-1, 0, 86
Solve 4500*m**5 - 34200*m**4 + 39840*m**3 + 59072*m**2/3 + 8384*m/3 + 128 = 0.
-2/15, 2, 6
Factor 2*k**4/11 - 3092*k**3/11 + 1594440*k**2/11 - 274773100*k/11 + 273181750/11.
2*(k - 515)**3*(k - 1)/11
Determine g so that -3*g**5 - 35*g**4 + 51*g**3 - 13*g**2 = 0.
-13, 0, 1/3, 1
Factor -3*n**3/4 + 63*n**2/2 - 231*n/4 - 90.
-3*(n - 40)*(n - 3)*(n + 1)/4
Find c such that -7*c**3 - 1314*c**2 - 61476*c + 17672 = 0.
-94, 2/7
Solve 5*h**5 + 5515*h**4 + 1501350*h**