r -5*f**2 - 1290*f - 83205.
-5*(f + 129)**2
Solve -j**3 - 3223*j**2 - 2598543*j - 2595321 = 0 for j.
-1611, -1
Find y, given that -3*y**3 + 354*y**2 + 12*y - 1416 = 0.
-2, 2, 118
Determine j, given that 2*j**4 + 74*j**3/7 - 64*j**2/7 - 24*j/7 = 0.
-6, -2/7, 0, 1
Factor -y**3/6 - 17*y**2/6 - 91*y/6 - 49/2.
-(y + 3)*(y + 7)**2/6
Solve -3*b**2/2 - 4239*b/2 = 0 for b.
-1413, 0
Suppose -12*n**5/7 - 4*n**4/7 + 144*n**3/7 - 144*n**2/7 - 64*n/7 = 0. Calculate n.
-4, -1/3, 0, 2
Determine r, given that -2*r**5/3 + 62*r**4/3 - 244*r**3/3 - 440*r**2/3 + 208*r = 0.
-2, 0, 1, 6, 26
Factor -r**2/4 + 3*r - 9.
-(r - 6)**2/4
Factor 3*o**2/7 + 1275*o/7 - 3852/7.
3*(o - 3)*(o + 428)/7
Determine z, given that -3*z**3/4 + 18*z**2 + 153*z/4 + 39/2 = 0.
-1, 26
Find t such that 36*t**5 - 72*t**4 - 31*t**3 + 55*t**2 + 16*t - 4 = 0.
-2/3, -1/2, 1/6, 1, 2
Factor -3*a**2 + 1134*a - 107163.
-3*(a - 189)**2
Find k, given that 5*k**2/4 + 25*k/2 + 20 = 0.
-8, -2
Factor -2*z**2/13 + 642*z/13 - 640/13.
-2*(z - 320)*(z - 1)/13
Determine x, given that -3*x**2/5 - 1251*x/5 + 1254/5 = 0.
-418, 1
Let 6*m**5/7 + 16*m**4 - 6*m**3 - 76*m**2/7 = 0. What is m?
-19, -2/3, 0, 1
Let j**2/8 + 2075*j/2 + 4305625/2 = 0. What is j?
-4150
Factor 2*v**4/3 + 20*v**3/3 + 14*v**2/3 - 12*v.
2*v*(v - 1)*(v + 2)*(v + 9)/3
Factor -g**4/3 - 2*g**3/3 + 7*g**2/3 - 4*g/3.
-g*(g - 1)**2*(g + 4)/3
What is i in 3*i**2/8 - 2841*i/8 + 1419/4 = 0?
1, 946
Suppose -2*n**2/23 + 88*n/23 + 1080/23 = 0. What is n?
-10, 54
Determine r so that r**5/3 - 8*r**4/3 - 24*r**3 - 160*r**2/3 - 112*r/3 = 0.
-2, 0, 14
What is t in -2*t**3/23 - 28*t**2/23 - 22*t/23 + 52/23 = 0?
-13, -2, 1
Factor 3*w**3 + 18*w**2 - 45*w + 24.
3*(w - 1)**2*(w + 8)
Factor 3*o**2 - 35*o/3 - 4/3.
(o - 4)*(9*o + 1)/3
Determine y, given that -2*y**3/9 - 2*y**2/3 + 8*y/9 = 0.
-4, 0, 1
Factor 4*z**4 + 224*z**3 + 1020*z**2.
4*z**2*(z + 5)*(z + 51)
Factor -2*m**2/5 + 1212*m/5 - 183618/5.
-2*(m - 303)**2/5
Suppose -r**2 - 381*r + 766 = 0. What is r?
-383, 2
Let -35*m**5 - 550*m**4 + 1595*m**3 + 2530*m**2 - 4620*m + 1080 = 0. Calculate m.
-18, -2, 2/7, 1, 3
Find a such that a**5 + 2*a**4 - 4*a**3 - 2*a**2 + 3*a = 0.
-3, -1, 0, 1
Factor 5*a**5/3 + 20*a**4/3 + 5*a**3.
5*a**3*(a + 1)*(a + 3)/3
Find w, given that 8*w**3 - 18*w**2 - 20*w + 6 = 0.
-1, 1/4, 3
Suppose -2*t**3/7 + 684*t**2/7 + 2*t/7 - 684/7 = 0. Calculate t.
-1, 1, 342
Find b, given that 6*b**5 - 16*b**4 - 16*b**3 + 64*b**2 - 32*b = 0.
-2, 0, 2/3, 2
Factor -2*o**2 - 24*o + 26.
-2*(o - 1)*(o + 13)
Factor -h**2/4 - 17*h/4 + 19/2.
-(h - 2)*(h + 19)/4
Factor b**4 - 8*b**3 + 24*b**2 - 32*b + 16.
(b - 2)**4
Let -3*k**3/5 + 39*k**2 + 819*k/5 + 621/5 = 0. What is k?
-3, -1, 69
Let b**3/4 - 15*b**2/2 + 71*b/4 + 135/2 = 0. Calculate b.
-2, 5, 27
Factor 3*b**3 + 4743*b**2 - 4746*b.
3*b*(b - 1)*(b + 1582)
Solve -3*f**5 - 10*f**4 + 5*f**3 + 20*f**2 - 12*f = 0.
-3, -2, 0, 2/3, 1
Determine a so that a**3/7 - 65*a**2/7 - 568*a/7 - 1168/7 = 0.
-4, 73
Factor -v**3/3 + 5*v**2 + 52*v/3 + 12.
-(v - 18)*(v + 1)*(v + 2)/3
Let s**2/4 + 39*s/4 - 275/2 = 0. Calculate s.
-50, 11
Determine p so that -44*p**5/7 - 250*p**4/7 + 110*p**3/7 + 160*p**2/7 + 24*p/7 = 0.
-6, -1/2, -2/11, 0, 1
Find q, given that -4*q**5 - 4*q**4 + 28*q**3 + 52*q**2 + 24*q = 0.
-2, -1, 0, 3
Factor r**2 + 1320*r + 435600.
(r + 660)**2
Determine w so that 16*w**5 - 20*w**4 - 172*w**3 + 188*w**2 + 252*w - 72 = 0.
-3, -1, 1/4, 2, 3
Factor -s**2 - 53*s - 52.
-(s + 1)*(s + 52)
Factor 2*z**2/15 + 26168*z/15 + 85595528/15.
2*(z + 6542)**2/15
Let -j**2/4 - 13*j/4 + 12 = 0. Calculate j.
-16, 3
Factor -b**2/6 + 11*b/2 + 140/3.
-(b - 40)*(b + 7)/6
Solve b**5/2 + 131*b**4/2 - b**3 - 131*b**2 + b/2 + 131/2 = 0 for b.
-131, -1, 1
Find n such that -26*n**4 + 1954*n**3 + 7812*n**2 + 6968*n - 1264 = 0.
-2, 2/13, 79
What is y in -2*y**4 - 38*y**3 - 70*y**2 - 34*y = 0?
-17, -1, 0
Let -5*u**5/2 + 5*u**4/2 + 5*u**3/2 - 5*u**2/2 = 0. What is u?
-1, 0, 1
Solve -2*m**5 + 38*m**4 + 44*m**3 - 80*m**2 = 0.
-2, 0, 1, 20
Solve 3*i**3 - 201*i**2 + 4473*i - 33075 = 0.
21, 25
Determine j so that 5*j**3 - 55*j**2 + 155*j - 105 = 0.
1, 3, 7
Factor 3*w**2 + 66*w + 171.
3*(w + 3)*(w + 19)
Factor 5*y**2 + 75*y - 380.
5*(y - 4)*(y + 19)
Find k, given that -k**2/2 - 11*k/3 + 8/3 = 0.
-8, 2/3
Factor -2*h**3 - 370*h**2 - 18000*h - 81000.
-2*(h + 5)*(h + 90)**2
Suppose 2*v**3/5 + 2*v**2/5 - 4*v/5 = 0. What is v?
-2, 0, 1
Solve 2*n**5/13 + 126*n**4/13 - 394*n**3/13 + 138*n**2/13 + 392*n/13 - 264/13 = 0 for n.
-66, -1, 1, 2
Determine j so that -j**5/2 + 7*j**4/2 + 11*j**3/2 - 59*j**2/2 - 59*j - 28 = 0.
-2, -1, 4, 7
Find z such that -3*z**5/4 - 6*z**4 - 39*z**3/4 + 33*z**2/2 + 51*z + 30 = 0.
-5, -2, -1, 2
Find x such that 140*x**2 - 8*x = 0.
0, 2/35
Solve -2*u**2/15 + 8*u/3 - 38/15 = 0.
1, 19
Let -12*v**5 + 33*v**4 + 9*v**3 - 48*v**2 - 12*v = 0. What is v?
-1, -1/4, 0, 2
Solve t**3/5 - 4*t**2 - 121*t/5 - 20 = 0.
-4, -1, 25
Find v, given that -3*v**4 - 24*v**3 + 102*v**2 + 24*v - 99 = 0.
-11, -1, 1, 3
Determine r so that -5*r**4/4 - 48*r**3 - 1081*r**2/4 - 921*r/2 - 144 = 0.
-32, -3, -2/5
Factor 4*s**3 - 116*s**2 + 896*s - 784.
4*(s - 14)**2*(s - 1)
Factor 200*j**3 - 720*j**2 + 378*j - 54.
2*(j - 3)*(10*j - 3)**2
Suppose 1280*k**2 - 160*k + 5 = 0. Calculate k.
1/16
Factor 2*d**4 + 60*d**3 + 46*d**2 - 348*d.
2*d*(d - 2)*(d + 3)*(d + 29)
Let -3*y**2 + 21*y + 90 = 0. What is y?
-3, 10
Factor 5*b**2 - 23130*b - 23135.
5*(b - 4627)*(b + 1)
Suppose -2*b**2 + 6*b - 4 = 0. What is b?
1, 2
Factor 2*f**3/3 - 356*f**2/3 + 15842*f/3.
2*f*(f - 89)**2/3
Factor -g**4 + 21*g**3 - 18*g**2 - 40*g.
-g*(g - 20)*(g - 2)*(g + 1)
Factor 5*l**2 - 375*l + 2070.
5*(l - 69)*(l - 6)
Factor -2*v**4 + 78*v**3 - 1080*v**2 + 6048*v - 10368.
-2*(v - 12)**3*(v - 3)
Determine o, given that 8*o**5 + 168*o**4 - 758*o**3 + 1028*o**2 - 546*o + 100 = 0.
-25, 1/2, 1, 2
Suppose -98*z**4/11 + 70*z**3/11 + 26*z**2/11 + 2*z/11 = 0. Calculate z.
-1/7, 0, 1
Factor -n**3/4 - 521*n**2/2 - 271441*n/4.
-n*(n + 521)**2/4
Factor 2*w**2/11 - 34*w/11 - 120/11.
2*(w - 20)*(w + 3)/11
Factor 4*n**3 + 176*n**2 + 1748*n - 4232.
4*(n - 2)*(n + 23)**2
Factor -5*i**5 - 5*i**4 + 30*i**3 - 10*i**2 - 25*i + 15.
-5*(i - 1)**3*(i + 1)*(i + 3)
Determine i so that -4*i**4 - 24*i**3 + 12*i**2 + 80*i + 48 = 0.
-6, -1, 2
Factor 4*p**4/3 + 101*p**3/3 - 79*p**2/3 - 26*p/3.
p*(p - 1)*(p + 26)*(4*p + 1)/3
Factor 37*r**3 + 88*r**2 + 65*r + 14.
(r + 1)**2*(37*r + 14)
Let s**3/6 + 49*s**2/6 - 25*s/3 = 0. Calculate s.
-50, 0, 1
Factor -2*m**3 - 140*m**2 + 142*m.
-2*m*(m - 1)*(m + 71)
Let 3*d**5/4 - 561*d**4/4 + 24765*d**3/4 + 138801*d**2/4 - 6192*d - 34560 = 0. Calculate d.
-5, -1, 1, 96
Let 4*x**5/3 + 49*x**4/6 + 35*x**3/3 - 20*x**2/3 - 13*x - 3/2 = 0. What is x?
-3, -1, -1/8, 1
Factor -2*y**2/5 - 1508*y/5 - 284258/5.
-2*(y + 377)**2/5
What is b in -4*b**3 - 96*b**2 - 176*b = 0?
-22, -2, 0
Factor -5*v**3 + 290*v**2 - 255*v - 1710.
-5*(v - 57)*(v - 3)*(v + 2)
Let -69*x**2/2 + 375*x/2 - 75 = 0. What is x?
10/23, 5
Suppose 2*p**3/17 + 54*p**2/17 + 48*p/17 - 104/17 = 0. What is p?
-26, -2, 1
Factor 35*r**4 - 30*r**3 - 35*r**2 + 30*r.
5*r*(r - 1)*(r + 1)*(7*r - 6)
Factor 2*q**5 + 11*q**4 + 20*q**3 + 12*q**2.
q**2*(q + 2)**2*(2*q + 3)
Factor 3*j**2/5 + 2367*j/5.
3*j*(j + 789)/5
Factor -5*k**2 + 255*k + 260.
-5*(k - 52)*(k + 1)
Factor -4*g**5/3 - 16*g**4/3 - 8*g**3 - 16*g**2/3 - 4*g/3.
-4*g*(g + 1)**4/3
Factor -59*y**3/7 - 116*y**2/7 - 55*y/7 + 2/7.
-(y + 1)**2*(59*y - 2)/7
Factor 14*b**5 + 52*b**4 - 268*b**3 + 352*b**2 - 178*b + 28.
2*(b - 1)**3*(b + 7)*(7*b - 2)
Suppose 5*v**3 + 5*v**2 - 25*v + 15 = 0. What is v?
-3, 1
Factor -2*k**3/9 + 52*k**2/9 - 104*k/3 + 48.
-2*(k - 18)*(k - 6)*(k - 2)/9
Factor f**5 + 2*f**4 - 3*f**3 - 4*f**2 + 4*f.
f*(f - 1)**2*(f + 2)**2
Determine m so that -3*m**3 + 357*m**2 - 3345*m + 8175 = 0.
5, 109
Factor -4*c**2 - 52*c - 48.
-4*(c + 1)*(c + 12)
Let -2*t**3 - 110*t**2 - 684*t - 576 = 0. What is t?
-48, -6, -1
Factor h**2 - 14806*h + 54804409.
(h - 7403)**2
Let 308*f**4 - 724*f**3 + 468*f**2 + 4*f - 56 = 0. What is f?
-2/7, 7/11, 1
Find z such that -27*z**4 + 408*z**3 - 1989*z**2 + 3240*z - 336 = 0.
1/9, 4, 7
Let 4*n**2 - 52*n - 192 = 0. Calculate n.
-3, 16
Solve -2*f**5/3 + f**4/3 + 25*f**3/3 + 4*f**2 = 0.
-3, -1/2, 0, 4
Solve o**5 - 27*o**4 + 194*o**3 -