 24*l**3 - 36*l**2 = 0.
-6, -1, 0, 2
Factor 4*o**4 - 56*o**3 + 192*o**2 + 56*o - 196.
4*(o - 7)**2*(o - 1)*(o + 1)
Determine z so that -z**2/5 + 24*z/5 + 5 = 0.
-1, 25
Suppose -3*m**4 - 3*m**3 + 30*m**2 + 12*m - 72 = 0. Calculate m.
-3, -2, 2
Solve -3*z**4/5 - 36*z**3/5 + 138*z**2/5 + 36*z/5 - 27 = 0.
-15, -1, 1, 3
Determine m so that 14*m**3 + 976*m**2 + 686*m - 276 = 0.
-69, -1, 2/7
Solve -18*d**5/7 - 18*d**4/7 + 38*d**3/7 + 2*d**2/7 - 4*d/7 = 0 for d.
-2, -1/3, 0, 1/3, 1
Factor x**3/5 + 2*x**2 + 17*x/5 + 8/5.
(x + 1)**2*(x + 8)/5
Let -2*k**3 - 46*k**2 + 2*k + 46 = 0. Calculate k.
-23, -1, 1
Factor -5*o**3 - 40*o**2 + 95*o - 50.
-5*(o - 1)**2*(o + 10)
Suppose -h**4/4 + 9*h**3/2 - 93*h**2/4 + 47*h - 33 = 0. Calculate h.
2, 3, 11
Determine s, given that 8*s**4 - 34*s**3 - 88*s**2 + 24*s = 0.
-2, 0, 1/4, 6
What is t in t**3/5 - 9*t**2/5 - 16*t/5 + 144/5 = 0?
-4, 4, 9
Determine p so that -21*p**2/2 - 10*p - 2 = 0.
-2/3, -2/7
Factor 2*j**5 - 1016*j**4 + 128012*j**3 + 259080*j**2 + 130050*j.
2*j*(j - 255)**2*(j + 1)**2
Suppose 4*f**3 + 4*f**2 - 120*f = 0. Calculate f.
-6, 0, 5
Suppose 4624*w**2 - 6120*w + 2025 = 0. What is w?
45/68
Factor h**4/5 + 46*h**3/5 - 96*h**2/5.
h**2*(h - 2)*(h + 48)/5
What is c in 3*c**5 - 96*c**4 - 204*c**3 - 6*c**2 + 201*c + 102 = 0?
-1, 1, 34
Factor 2*q**2 - 64*q + 512.
2*(q - 16)**2
Let 2*j**4/7 + 18*j**3/7 - 16*j**2 - 1152*j/7 - 1024/7 = 0. What is j?
-8, -1, 8
Factor x**4/3 + 391*x**3/3 - x**2/3 - 391*x/3.
x*(x - 1)*(x + 1)*(x + 391)/3
Factor 2*p**4 - 50*p**3 + 150*p**2 + 2250*p.
2*p*(p - 15)**2*(p + 5)
What is q in -49*q**5/8 + 315*q**4/8 + 1025*q**3/8 + 945*q**2/8 + 40*q + 9/2 = 0?
-1, -2/7, 9
Factor -s**2 + 22*s - 40.
-(s - 20)*(s - 2)
Factor -5*h**2 - 470*h - 11045.
-5*(h + 47)**2
Determine w, given that -12*w**3 + 572*w**2 - 1428*w - 540 = 0.
-1/3, 3, 45
Let 2*v**3 - 2*v**2 - 2*v + 2 = 0. Calculate v.
-1, 1
Factor -j**3/5 - 34*j**2 + 4512*j/5 - 27936/5.
-(j - 12)**2*(j + 194)/5
Let 3*v**2 + 66*v - 69 = 0. Calculate v.
-23, 1
Factor -4*u**2 - 1112*u - 77284.
-4*(u + 139)**2
Let 2*p**3 - 22*p**2 - 80*p - 56 = 0. Calculate p.
-2, -1, 14
Factor -2*o**2/7 + 6*o/7 + 8/7.
-2*(o - 4)*(o + 1)/7
Suppose 2*n**5 + 2*n**4 - 618*n**3 - 2*n**2 + 1840*n - 1224 = 0. What is n?
-18, -2, 1, 17
Solve -z**5/5 + 17*z**3/5 + 36*z**2/5 + 4*z = 0.
-2, -1, 0, 5
Solve -4*i**5/3 - 80*i**4/3 + 572*i**3/3 - 1304*i**2/3 + 1232*i/3 - 416/3 = 0 for i.
-26, 1, 2
Let -49*k**2/4 + 28*k - 16 = 0. What is k?
8/7
Factor j**2/2 + 9*j - 19/2.
(j - 1)*(j + 19)/2
Find h, given that h**4/3 + h**3 - 4*h/3 = 0.
-2, 0, 1
Let 2*q**2/5 - 6*q + 88/5 = 0. Calculate q.
4, 11
Factor 3*y**2 - 165*y.
3*y*(y - 55)
Factor 2*d**4 + 252*d**3 + 9306*d**2 + 86184*d + 233928.
2*(d + 6)**2*(d + 57)**2
Let -5*d**2 + 40*d - 80 = 0. What is d?
4
Factor -4*r**2/5 + 7404*r/5.
-4*r*(r - 1851)/5
Factor -15*v**2/4 - 33*v/4 - 3/2.
-3*(v + 2)*(5*v + 1)/4
Determine k so that 2*k**3/9 + 22*k**2/9 - 736*k/9 + 384 = 0.
-27, 8
Suppose -s**4/3 + 2*s**3/3 = 0. What is s?
0, 2
Factor -a**5 - 5*a**4 + 38*a**3 + 262*a**2 + 395*a + 175.
-(a - 7)*(a + 1)**2*(a + 5)**2
Determine s so that 6*s**5/5 + 92*s**4/5 - 166*s**3/5 + 68*s**2/5 = 0.
-17, 0, 2/3, 1
Factor -4*d**3 - 220*d**2 - 4032*d - 24624.
-4*(d + 18)**2*(d + 19)
Solve 8*m**3 - 33*m**2 - 36*m + 5 = 0.
-1, 1/8, 5
Factor 5*w**2 - 11970*w + 7164045.
5*(w - 1197)**2
Factor -b**3/3 + 13*b**2 - 108*b - 364/3.
-(b - 26)*(b - 14)*(b + 1)/3
Determine x so that -8*x**2 + 564*x + 864 = 0.
-3/2, 72
Suppose -10*r**4 - 55*r**3 - 85*r**2 - 30*r = 0. Calculate r.
-3, -2, -1/2, 0
Find a such that 3*a**4/7 + 114*a**3/7 + 1287*a**2/7 + 3876*a/7 + 3468/7 = 0.
-17, -2
Factor -3*f**2/5 - 36*f/5 - 12.
-3*(f + 2)*(f + 10)/5
Suppose -3*v**3 + 21*v**2 - 24*v - 48 = 0. What is v?
-1, 4
Factor 3*t**4/5 - 6*t**3/5 - 192*t**2/5 + 174*t - 135.
3*(t - 5)**2*(t - 1)*(t + 9)/5
Factor q**3/4 - 75*q**2/4 - q/4 + 75/4.
(q - 75)*(q - 1)*(q + 1)/4
Factor -388*i**2 - 784*i - 16.
-4*(i + 2)*(97*i + 2)
Factor 2*z**3/3 + 16*z**2/3 - 22*z/3 - 12.
2*(z - 2)*(z + 1)*(z + 9)/3
Factor -2*d**4/11 + 80*d**3/11 - 612*d**2/11 + 1728*d/11 - 1674/11.
-2*(d - 31)*(d - 3)**3/11
Factor x**4/5 - 3*x**3 + 48*x**2/5 + 64*x/5.
x*(x - 8)**2*(x + 1)/5
Let l**4/6 - l**3/3 - 3*l**2/2 + l/3 + 4/3 = 0. What is l?
-2, -1, 1, 4
Determine g so that 4*g**2 - 632*g = 0.
0, 158
Determine g, given that -8*g**4 - 34*g**3 + 144*g**2 - 74*g - 28 = 0.
-7, -1/4, 1, 2
Factor -t**5/6 + 11*t**4/6 - 13*t**3/2 + 61*t**2/6 - 22*t/3 + 2.
-(t - 6)*(t - 2)*(t - 1)**3/6
Let 2*o**2/7 - 34*o/7 = 0. Calculate o.
0, 17
Let -4*o**2 + 1888*o + 3792 = 0. Calculate o.
-2, 474
Determine k, given that k**3/5 + 29*k**2/5 + 126*k/5 + 144/5 = 0.
-24, -3, -2
Factor p**2/11 + 28*p - 1248/11.
(p - 4)*(p + 312)/11
Factor 4*f**2 - 3572*f - 3576.
4*(f - 894)*(f + 1)
Let -4*n**2/3 + 680*n/3 - 28900/3 = 0. Calculate n.
85
Factor 2*c**2/9 - 40*c - 362/9.
2*(c - 181)*(c + 1)/9
Solve -3*s**3 + 2820*s**2 = 0 for s.
0, 940
Factor 4*q**2 + 316*q - 5640.
4*(q - 15)*(q + 94)
Find v, given that 2*v**4/3 - 8*v**2/3 = 0.
-2, 0, 2
Factor 2*i**2/11 + 162*i/11.
2*i*(i + 81)/11
Solve 18*m**3/17 + 18536*m**2/17 - 41272*m/17 + 8256/17 = 0 for m.
-1032, 2/9, 2
Factor j**4 + 22*j**3 + 96*j**2.
j**2*(j + 6)*(j + 16)
Determine v so that -v**3/7 + 3*v/7 - 2/7 = 0.
-2, 1
Factor -3*a**5 - 42*a**4 - 228*a**3 - 600*a**2 - 768*a - 384.
-3*(a + 2)**3*(a + 4)**2
Factor -2*a**2 - 4615*a - 2307.
-(a + 2307)*(2*a + 1)
Find n such that -3*n**3/8 + 201*n**2/8 + 3*n/8 - 201/8 = 0.
-1, 1, 67
Factor -k**4 - 54*k**3 - 540*k**2 + 5400*k.
-k*(k - 6)*(k + 30)**2
Find o, given that -4*o**4 - 16*o**3 + 4*o**2 + 64*o + 48 = 0.
-3, -2, -1, 2
Factor -60*u**3 - 122*u**2 - 4*u.
-2*u*(u + 2)*(30*u + 1)
Solve 3*r**2/4 + 21*r/4 + 9 = 0 for r.
-4, -3
Solve -6*r**4 + 165*r**3/2 - 267*r**2 - 72*r = 0.
-1/4, 0, 6, 8
Determine x, given that 5*x**3 + 125*x**2 - 885*x + 1395 = 0.
-31, 3
Factor -2*g**4/13 - 22*g**3/13 - 64*g**2/13 - 56*g/13.
-2*g*(g + 2)**2*(g + 7)/13
Solve -14*x**4/17 + 40*x**3/17 + 18*x**2/17 - 36*x/17 = 0 for x.
-1, 0, 6/7, 3
What is q in 5*q**2 + 1620*q + 1615 = 0?
-323, -1
Factor -9*t**3/7 + 218*t**2/7 - 444*t/7 + 88/7.
-(t - 22)*(t - 2)*(9*t - 2)/7
Let -4*m**4/9 - 32*m**3/9 - 44*m**2/9 + 32*m/9 + 16/3 = 0. Calculate m.
-6, -2, -1, 1
What is w in -4*w**5 + 48*w**4 - 184*w**3 + 240*w**2 - 100*w = 0?
0, 1, 5
Factor -3*f**4/2 + 51*f**3/2 - 99*f**2.
-3*f**2*(f - 11)*(f - 6)/2
What is q in -6*q**4/19 + 5630*q**3/19 + 9396*q**2/19 + 3760*q/19 = 0?
-1, -2/3, 0, 940
Find j such that 4*j**3 + 120*j**2 - 528*j + 544 = 0.
-34, 2
Let 2*o**4 + 4*o**3 - 8*o**2 - 4*o + 6 = 0. Calculate o.
-3, -1, 1
Determine z, given that 72*z**5/17 - 288*z**4/17 - 38*z**3/17 + 150*z**2/17 + 12*z/17 - 16/17 = 0.
-1/2, 1/3, 2/3, 4
Determine g so that 3*g**5/5 - 12*g**4/5 - 63*g**3/5 + 60*g**2 - 60*g = 0.
-5, 0, 2, 5
Factor -60*u**2/11 + 26*u/11 + 20/11.
-2*(5*u + 2)*(6*u - 5)/11
Let 5*x**3 + 610*x**2 + 18605*x = 0. What is x?
-61, 0
Suppose d**5/7 + d**4/7 - d**3 - d**2/7 + 6*d/7 = 0. Calculate d.
-3, -1, 0, 1, 2
Factor 2*r**3/5 - 34*r**2/5 + 12*r.
2*r*(r - 15)*(r - 2)/5
Let -3*t**5 - 30*t**4 - 66*t**3 + 96*t**2 + 285*t + 150 = 0. Calculate t.
-5, -1, 2
Factor -2*o**3 - 7560*o**2 - 9525600*o - 4000752000.
-2*(o + 1260)**3
Factor -5*x**4 - 15*x**3 + 115*x**2 - 165*x + 70.
-5*(x - 2)*(x - 1)**2*(x + 7)
Factor 82*v**4/7 - 134*v**3/7 + 22*v**2/7 + 30*v/7.
2*v*(v - 1)**2*(41*v + 15)/7
Factor -p**2 - 2*p.
-p*(p + 2)
Find v such that -5*v**5 + 165*v**4 - 1755*v**3 + 5915*v**2 = 0.
0, 7, 13
Factor -2*c**2/3 - 502*c/3 - 332.
-2*(c + 2)*(c + 249)/3
Let -u**5/6 - 5*u**4/3 - u**3 + 14*u**2/3 + 7*u/6 - 3 = 0. What is u?
-9, -2, -1, 1
Factor -y**2 - 23*y - 90.
-(y + 5)*(y + 18)
Suppose -9*h**4/4 - 17*h**3/2 + 2*h**2 = 0. Calculate h.
-4, 0, 2/9
Factor 2*x**2/7 - 2004*x/7 + 502002/7.
2*(x - 501)**2/7
Factor y**3/3 - 4*y**2 + 23*y/3 + 12.
(y - 9)*(y - 4)*(y + 1)/3
Find k such that -k**3 + 40*k**2 + k - 40 = 0.
-1, 1, 40
Factor 135*y**3 - 260*y**2 + 115*y + 10.
5*(y - 1)**2*(27*y + 2)
Factor -n**4 + 2*n**3 + 63*n**2 - 128*n + 64.
-(n - 8)*(n - 1)**2*(n + 8)
Factor 3*f**4/2 + 3*f**3/2 - 3*f**2.
3*f**2*(f - 1)*(f + 2)/2
Let -t**2/12 + t - 8/3 = 0. What is t?
4, 8
Find k, given that -3*k**4/5 - 936*k**3/5 + 2826*k**2/5 - 2832*k/5