 1009027027/2 = 0 for l.
-1003
Find x such that 12*x**3 + 165*x**2 + 246*x - 72 = 0.
-12, -2, 1/4
Suppose -n**3 + 20*n**2 + 187*n - 4046 = 0. What is n?
-14, 17
Factor 155*z**2/3 + 52*z + 1/3.
(z + 1)*(155*z + 1)/3
Factor 3*k**2/5 + 66*k - 720.
3*(k - 10)*(k + 120)/5
Factor t**5 - 17*t**4 + 87*t**3 - 91*t**2 - 196*t.
t*(t - 7)**2*(t - 4)*(t + 1)
Factor -4*y**2 - 68*y + 72.
-4*(y - 1)*(y + 18)
Factor 3*z**3/5 - 90*z**2 + 4500*z - 75000.
3*(z - 50)**3/5
Determine t, given that -6*t**5/11 + 36*t**4/11 - 48*t**3/11 - 36*t**2/11 + 54*t/11 = 0.
-1, 0, 1, 3
Suppose -5*f**3 - 50*f**2 + 185*f - 130 = 0. Calculate f.
-13, 1, 2
Factor 20*i**3 - 165*i**2 - 920*i + 240.
5*(i - 12)*(i + 4)*(4*i - 1)
Let 2*x**4/11 + 386*x**3/11 - 390*x**2/11 - 386*x/11 + 388/11 = 0. Calculate x.
-194, -1, 1
Factor -19*o**3/4 - 571*o**2/4 - 4305*o/4 - 225/4.
-(o + 15)**2*(19*o + 1)/4
Factor -c**4 - 380*c**3 - 1134*c**2 - 1132*c - 377.
-(c + 1)**3*(c + 377)
Suppose -16*r**5/7 + 286*r**4/7 - 1692*r**3/7 + 3240*r**2/7 + 432*r/7 = 0. What is r?
-1/8, 0, 6
Factor -361*d**3/8 + 399*d**2/4 - 39*d/2 + 1.
-(d - 2)*(19*d - 2)**2/8
Factor -20*v**3 - 326*v**2 - 396*v - 90.
-2*(v + 1)*(v + 15)*(10*v + 3)
Suppose -3*a**5/4 - 15*a**4/4 + 9*a**3/4 + 51*a**2/4 + 15*a/2 = 0. What is a?
-5, -1, 0, 2
Factor -c**2/6 + 170*c/3 - 14450/3.
-(c - 170)**2/6
Find l, given that 2*l**4 + 54*l**3 + 270*l**2 + 386*l + 168 = 0.
-21, -4, -1
Factor -4*b**3/3 + 88*b**2 + 3436*b/3 - 1232.
-4*(b - 77)*(b - 1)*(b + 12)/3
Factor -2*t**3 + 12*t**2 - 6*t - 20.
-2*(t - 5)*(t - 2)*(t + 1)
Solve 3*h**5 + 12*h**4 - 15*h**3 - 60*h**2 + 12*h + 48 = 0 for h.
-4, -2, -1, 1, 2
Factor a**5 + 33*a**4 + 171*a**3 + 243*a**2.
a**2*(a + 3)**2*(a + 27)
What is q in -2*q**4/3 + 92*q**3/3 + 208*q**2 = 0?
-6, 0, 52
Factor -8*q**2 - 12*q - 4.
-4*(q + 1)*(2*q + 1)
Find b, given that -12*b**5 + 237*b**4 - 1506*b**3 + 3729*b**2 - 3828*b + 1380 = 0.
1, 2, 23/4, 10
Find x, given that -2*x**4/3 + 89*x**3/3 + 140*x**2/3 - 92*x/3 = 0.
-2, 0, 1/2, 46
Factor 4*s**3 + 1460*s**2 - 5888*s + 5904.
4*(s - 2)**2*(s + 369)
Determine h so that -4*h**3 + 48*h**2 - 180*h + 216 = 0.
3, 6
Factor 5*d**5 - 35*d**4 - 135*d**3 - 145*d**2 - 50*d.
5*d*(d - 10)*(d + 1)**3
Suppose -6*i**5 - 15*i**4 - 6*i**3 + 12*i**2 + 12*i + 3 = 0. What is i?
-1, -1/2, 1
Find j such that 3*j**4/7 + 3*j**3/7 - 3*j**2/7 - 3*j/7 = 0.
-1, 0, 1
Let 4*i**3/9 + 8*i**2/3 + 16*i/3 + 32/9 = 0. What is i?
-2
Solve w**4 + w**3 - 2*w**2 = 0.
-2, 0, 1
Let 5*b**2 - 8*b - 13 = 0. What is b?
-1, 13/5
Factor 4*r**3 + 104*r**2 + 572*r + 760.
4*(r + 2)*(r + 5)*(r + 19)
Find h such that 5*h**2 - 810*h + 32805 = 0.
81
Determine t so that -3*t**3/2 - 261*t**2/2 - 7569*t/2 - 73167/2 = 0.
-29
Determine u, given that -u**4 - 6*u**3 + 19*u**2 + 24*u = 0.
-8, -1, 0, 3
Factor 5*v**2 - 115*v + 110.
5*(v - 22)*(v - 1)
Factor -3*c**4 + 54*c**3 + 120*c**2.
-3*c**2*(c - 20)*(c + 2)
Determine n so that n**2/4 + 11*n/2 - 12 = 0.
-24, 2
Let -3*k**3/2 + 81*k**2 - 1827*k/2 - 5046 = 0. Calculate k.
-4, 29
Factor 2*c**2/17 + 1626*c/17 + 3244/17.
2*(c + 2)*(c + 811)/17
Factor -5*v**3 + 120*v**2 + 1395*v + 2970.
-5*(v - 33)*(v + 3)*(v + 6)
Factor c**3/8 - 39*c**2/8 - 63*c/4.
c*(c - 42)*(c + 3)/8
Solve 2*c**5/9 - 160*c**4/3 + 26300*c**3/9 + 100000*c**2/3 + 781250*c/9 = 0.
-5, 0, 125
Factor -11*l**2/2 + 3*l/2 + 7.
-(l + 1)*(11*l - 14)/2
Factor 216*z**3 + 5220*z**2 + 32802*z + 15123.
3*(2*z + 1)*(6*z + 71)**2
Find s, given that -2*s**2/7 + 194*s/7 + 28 = 0.
-1, 98
Factor -2*w**4/9 - 4*w**3/9 + 2*w**2/9 + 4*w/9.
-2*w*(w - 1)*(w + 1)*(w + 2)/9
Factor -2*x**3/13 - 108*x**2/13 - 210*x/13 - 8.
-2*(x + 1)**2*(x + 52)/13
Determine b, given that -98*b**3/13 + 518*b**2/13 - 142*b/13 + 10/13 = 0.
1/7, 5
Solve 144*g**5 + 276*g**4 - 974*g**3 + 832*g**2 - 280*g + 32 = 0 for g.
-4, 1/4, 1/2, 2/3
Solve 3*w**2/5 - 15*w - 162/5 = 0 for w.
-2, 27
Determine x so that 3*x**4/2 + 9*x**3 + 6*x**2 - 9*x - 15/2 = 0.
-5, -1, 1
Factor -y**4/5 + 6*y**3/5.
-y**3*(y - 6)/5
Factor -4*c**4 - 8*c**3 - 4*c**2.
-4*c**2*(c + 1)**2
Find y, given that y**4/2 - 8*y**3 - 133*y**2/2 + 8*y + 66 = 0.
-6, -1, 1, 22
Suppose -2*f**4 + 84*f**3 - 1034*f**2 + 3192*f - 2888 = 0. Calculate f.
2, 19
Factor 3*m**2 + 27*m.
3*m*(m + 9)
Factor 2*v**4/3 + 38*v**3/3 + 66*v**2 + 54*v.
2*v*(v + 1)*(v + 9)**2/3
Suppose z**3/6 - 7*z**2/6 - 2*z/3 + 14/3 = 0. What is z?
-2, 2, 7
Find k, given that -2*k**3 - 18*k**2 - 40*k - 24 = 0.
-6, -2, -1
Let -3*m**3 - 18*m**2 = 0. Calculate m.
-6, 0
Suppose 2*c**3 + 1066*c**2 + 6342*c + 9486 = 0. What is c?
-527, -3
Determine p, given that 2*p**2/3 - 150*p + 5512/3 = 0.
13, 212
Suppose 4*y**3 - 32*y**2 - 16*y + 128 = 0. What is y?
-2, 2, 8
Find o such that -2*o**5/9 + 268*o**4/9 - 3374*o**3/3 + 71200*o**2/9 + 173848*o/9 + 30752/3 = 0.
-1, 12, 62
Determine s, given that -3*s**2/2 + 51*s/2 + 27 = 0.
-1, 18
Factor 2*f**3/9 - 16*f**2/9.
2*f**2*(f - 8)/9
Suppose -5*j**5/6 + 115*j**4/6 - 55*j**3/3 = 0. Calculate j.
0, 1, 22
Factor -2*f**5/3 + 8*f**4/3 + 2*f**3 - 12*f**2.
-2*f**2*(f - 3)**2*(f + 2)/3
Find t such that 6*t**3/7 + 62*t**2/7 - 200*t/7 + 104/7 = 0.
-13, 2/3, 2
Determine i so that 3*i**2 + 5346*i + 2381643 = 0.
-891
Determine u, given that -2*u**4/3 - 34*u**3/15 + 56*u**2/5 + 24*u/5 = 0.
-6, -2/5, 0, 3
Suppose 3*v**4/7 - 69*v**3/7 + 279*v**2/7 + 195*v + 1014/7 = 0. Calculate v.
-2, -1, 13
Suppose 5*d**3/2 - 111*d**2 - 137*d/2 + 45 = 0. What is d?
-1, 2/5, 45
Factor j**2 + 11*j.
j*(j + 11)
Suppose -3*f**2/5 - 222*f/5 + 456/5 = 0. What is f?
-76, 2
Determine o, given that 2*o**4 - 492*o**3 + 31226*o**2 - 119064*o + 117128 = 0.
2, 121
Factor -v**3/2 - 3*v**2/2 + 12*v - 14.
-(v - 2)**2*(v + 7)/2
Factor -32*u**5/17 + 112*u**4/17 - 146*u**3/17 + 86*u**2/17 - 22*u/17 + 2/17.
-2*(u - 1)**3*(4*u - 1)**2/17
Solve -w**4/3 + 20*w**3/3 - 17*w**2/3 - 38*w/3 = 0 for w.
-1, 0, 2, 19
Solve -10*o**5/11 - 94*o**4/11 - 326*o**3/11 - 46*o**2 - 336*o/11 - 72/11 = 0.
-3, -2, -1, -2/5
Let -5*l**2 + 5*l + 150 = 0. What is l?
-5, 6
Find s such that -2*s**4/21 - 2*s**3/21 + 22*s**2/21 + 6*s/7 - 12/7 = 0.
-3, -2, 1, 3
Factor n**3 - 3422*n**2/9 + 325660*n/9 - 72200/9.
(n - 190)**2*(9*n - 2)/9
Factor 2*i**3 - 2578*i**2 + 832048*i - 829472.
2*(i - 644)**2*(i - 1)
Find o such that -4*o**5/5 - 42*o**4/5 - 32*o**3 - 54*o**2 - 196*o/5 - 48/5 = 0.
-4, -3, -2, -1, -1/2
What is x in 32*x**5/5 - 80*x**4 + 1314*x**3/5 - 1352*x**2/5 + 454*x/5 - 48/5 = 0?
1/4, 1, 3, 8
Solve 4*o**4 + 84*o**3 = 0 for o.
-21, 0
Factor -2*r**2/11 + 1508*r/11 - 284258/11.
-2*(r - 377)**2/11
Determine p so that -p**5/4 + 3*p**4/4 - p**3/2 - p**2/2 + 3*p/4 - 1/4 = 0.
-1, 1
Let 2*o**5/11 - 16*o**4/11 + 24*o**3/11 + 52*o**2/11 - 122*o/11 + 60/11 = 0. What is o?
-2, 1, 3, 5
Let 4*l**2/5 - 54432*l/5 + 185177664/5 = 0. What is l?
6804
Find m, given that -2*m**3/21 + 26*m**2/7 + 54*m/7 + 82/21 = 0.
-1, 41
Let -5*x**4 - 150*x**3 - 520*x**2 = 0. What is x?
-26, -4, 0
Factor -4*q**2/3 - 16*q/3 + 60.
-4*(q - 5)*(q + 9)/3
Factor j**4 + 8*j**3 + 23*j**2 + 28*j + 12.
(j + 1)*(j + 2)**2*(j + 3)
Factor -d**5 - 1458*d**4 - 528517*d**3 + 2131596*d**2 - 2137444*d.
-d*(d - 2)**2*(d + 731)**2
Find w, given that 2*w**3/7 + 22*w**2/7 + 52*w/7 + 32/7 = 0.
-8, -2, -1
Find i such that -15*i**5 - 474*i**4 - 4113*i**3 - 10218*i**2 - 5484*i + 4104 = 0.
-19, -9, -2, 2/5
Factor 3*i**3/4 + 261*i**2 + 22707*i.
3*i*(i + 174)**2/4
Suppose 535*j**2 - 510*j - 25 = 0. What is j?
-5/107, 1
Factor 2*u**2/3 - 28*u - 176/3.
2*(u - 44)*(u + 2)/3
Suppose -2*b**4 + 4*b**3 - 2*b**2 = 0. Calculate b.
0, 1
Let 5*m**2 + 5*m - 30 = 0. Calculate m.
-3, 2
Suppose q**2/4 - 11*q/2 + 21/4 = 0. What is q?
1, 21
Let -3*n**5 - 6*n**4 + 6*n**2 + 3*n = 0. Calculate n.
-1, 0, 1
Solve b**5 - 21*b**4 + 19*b**3 + 21*b**2 - 20*b = 0 for b.
-1, 0, 1, 20
Factor 52*k**4 - 112*k**3 + 68*k**2 - 8*k.
4*k*(k - 1)**2*(13*k - 2)
Factor -y**2 + 25*y + 54.
-(y - 27)*(y + 2)
Let -z**2 + 13*z - 30 = 0. What is z?
3, 10
Solve -4*m**2/7 + 2300*m/7 - 328 = 0.
1, 574
Factor -5*j**5 + 10*j**4 + 15*j**3 - 20*j**2 - 20*j.
-5*j*(j - 2)**2*(j + 1)**2
Suppose -3*b**2 + 3*b + 18 = 0. What is b?
-2, 3
Factor -2*q**2/3 - 100*q/3 - 1250/3.
-2*(q + 25)**2/3
Factor 2*c**3/9 - 50*c**2/9 + 92*c/9.
2*c*(c - 23)*(c - 2)/9
What is h in 4*h**3 - 792*h**2 + 39984*h - 76832 = 0?
2, 98
Factor -15*k**2 + 2