72*j + 310.
2*(j - 31)*(j - 5)
Factor 4*d**2 - 32*d.
4*d*(d - 8)
Factor 3*j**3 - 12*j**2 - 36*j.
3*j*(j - 6)*(j + 2)
Let -4*h**4/7 - 404*h**3/7 + 820*h**2/7 - 412*h/7 = 0. What is h?
-103, 0, 1
Solve q**5/5 - q**4 - 2*q**3/5 + 42*q**2/5 - 63*q/5 + 27/5 = 0.
-3, 1, 3
Let 10*z**5/11 + 4*z**4/11 - 70*z**3/11 - 8*z**2 - 24*z/11 = 0. Calculate z.
-2, -1, -2/5, 0, 3
Factor 212*m**2 - 800*m - 192.
4*(m - 4)*(53*m + 12)
Let -3*h**2 + 1194*h - 118803 = 0. What is h?
199
Factor -2*l**3/5 + 108*l**2/5 - 1794*l/5 + 8464/5.
-2*(l - 23)**2*(l - 8)/5
What is o in 7*o**5/3 + 19*o**4/3 + 5*o**3 + o**2/3 - 2*o/3 = 0?
-1, 0, 2/7
Factor -98*j**3 + 457114*j**2 + 261232*j + 37320.
-2*(j - 4665)*(7*j + 2)**2
Factor -4*r**2/7 + 2592*r/7.
-4*r*(r - 648)/7
Factor -2*x**2/3 + 260*x/3 - 8450/3.
-2*(x - 65)**2/3
Solve -c**3/5 - 9*c**2 + 93*c/5 - 47/5 = 0 for c.
-47, 1
Factor -36*b**3 + 1556*b**2 - 344*b.
-4*b*(b - 43)*(9*b - 2)
Solve q**5 + 10*q**4 - 67*q**3 + 116*q**2 - 60*q = 0 for q.
-15, 0, 1, 2
Factor 6*j**5/11 - 6*j**4/11 - 12*j**3/11 + 12*j**2/11 + 6*j/11 - 6/11.
6*(j - 1)**3*(j + 1)**2/11
Determine s so that 12*s**2/7 - 3044*s - 7104/7 = 0.
-1/3, 1776
Factor -3*s**3/2 - 5*s**2/2 - s.
-s*(s + 1)*(3*s + 2)/2
Determine q so that 2*q**4 - 20*q**3 + 54*q**2 - 36*q = 0.
0, 1, 3, 6
Determine f so that 24*f**5/5 - 18*f**4 - 27*f**3/5 + 336*f**2/5 - 297*f/5 + 54/5 = 0.
-2, 1/4, 1, 3/2, 3
Find q such that -2*q**3/3 - 718*q**2/3 = 0.
-359, 0
Factor -1745*d**2 + 1750*d - 5.
-5*(d - 1)*(349*d - 1)
Let 8*z**2/9 - 242*z/9 - 448/9 = 0. What is z?
-7/4, 32
What is o in -5*o**3/3 - 65*o**2 - 600*o + 2000/3 = 0?
-20, 1
Factor 34*f**3/3 - 104*f**2/3 + 106*f/3 - 12.
2*(f - 1)**2*(17*f - 18)/3
Determine q so that -5*q**4 + 90*q**2 + 160*q + 75 = 0.
-3, -1, 5
Suppose 4*d**2 + 2424*d + 2420 = 0. Calculate d.
-605, -1
Factor 324*w**3 + 316*w**2 - 656*w + 16.
4*(w - 1)*(w + 2)*(81*w - 2)
Find w such that w**5/3 + 13*w**4/3 - 2*w**3 - 86*w**2/3 - 107*w/3 - 13 = 0.
-13, -1, 3
Factor -4506002*t**2/7 + 12008*t/7 - 8/7.
-2*(1501*t - 2)**2/7
Find r, given that -14*r**5 + 242*r**4 + 730*r**3 + 598*r**2 + 44*r - 80 = 0.
-1, 2/7, 20
Factor -12*o**2/7 + 27*o/7.
-3*o*(4*o - 9)/7
Find x such that 4*x**2 - 1752*x + 1748 = 0.
1, 437
Find r such that -5*r**3 - 105*r**2 - 550*r = 0.
-11, -10, 0
Factor -r**4/4 + 65*r**3/4 - 1119*r**2/4 + 1147*r/4 + 6727.
-(r - 31)**2*(r - 7)*(r + 4)/4
Find q such that 5*q**3 - 340*q**2 - 695*q - 350 = 0.
-1, 70
Determine t, given that 5*t**2 - 470*t - 475 = 0.
-1, 95
Find y such that -18*y**5/5 + 4*y**4/5 + 36*y**3/5 - 8*y**2/5 - 18*y/5 + 4/5 = 0.
-1, 2/9, 1
What is h in -5*h**3/3 + 215*h**2/3 - 60*h - 420 = 0?
-2, 3, 42
Factor 28*y**4 - 76*y**3 + 32*y**2 + 16*y.
4*y*(y - 2)*(y - 1)*(7*y + 2)
Factor 3*p**3 + 18*p**2 - 39*p - 126.
3*(p - 3)*(p + 2)*(p + 7)
Let -2*w**4/17 + 16*w**3/17 - 26*w**2/17 - 60*w/17 + 144/17 = 0. What is w?
-2, 3, 4
Factor 2*n**5/5 - 4*n**4 + 42*n**3/5.
2*n**3*(n - 7)*(n - 3)/5
Factor -2*v**3/3 - 68*v**2/3 + 50*v + 72.
-2*(v - 3)*(v + 1)*(v + 36)/3
Factor i**2 + 42*i + 360.
(i + 12)*(i + 30)
Determine j so that -4*j**2 + 216*j - 212 = 0.
1, 53
Let 5*o**3 + 4430*o**2 = 0. What is o?
-886, 0
Find i such that 4*i**5 - 44*i**4 + 36*i**3 + 44*i**2 - 40*i = 0.
-1, 0, 1, 10
Factor 4*g**2 + 40*g - 96.
4*(g - 2)*(g + 12)
Find j such that -73167*j**3 - 7569*j**2 - 261*j - 3 = 0.
-1/29
Factor 20*k**5 - 12*k**4 - 120*k**3 - 88*k**2 + 36*k + 36.
4*(k - 3)*(k + 1)**3*(5*k - 3)
Solve -8*b**4/7 + 192*b**3/7 + 6*b**2/7 - 142*b/7 - 48/7 = 0 for b.
-1/2, 1, 24
Factor a**2/10 - 97*a/5 - 196/5.
(a - 196)*(a + 2)/10
Factor 4*g**2 + 64*g + 60.
4*(g + 1)*(g + 15)
Suppose 3*k**2 + 282*k + 6627 = 0. Calculate k.
-47
Factor -l**2 + 642*l - 641.
-(l - 641)*(l - 1)
Suppose d**5 + 3*d**4 - 3*d**3 - 7*d**2 + 6*d = 0. What is d?
-3, -2, 0, 1
What is k in 3*k**3/8 + 12*k**2 + 225*k/2 + 324 = 0?
-18, -8, -6
Factor -n**5 + 8*n**4 - 5*n**3 - 14*n**2.
-n**2*(n - 7)*(n - 2)*(n + 1)
Factor -2*m**5/3 + 160*m**4 - 12800*m**3 + 1024000*m**2/3.
-2*m**2*(m - 80)**3/3
Factor c**4 - 33*c**3 + 357*c**2 - 1339*c + 1014.
(c - 13)**2*(c - 6)*(c - 1)
Solve i**4 - 7*i**3 - 9*i**2 + 7*i + 8 = 0 for i.
-1, 1, 8
Factor -5*r**4 + 30*r**3 - 25*r**2 - 120*r + 180.
-5*(r - 3)**2*(r - 2)*(r + 2)
What is n in -10*n**3 + 22*n**2 - 12*n = 0?
0, 1, 6/5
Factor 2*p**4 - 100*p**3 - 102*p**2.
2*p**2*(p - 51)*(p + 1)
Factor 8*o**3 - 84*o**2 + 16*o + 240.
4*(o - 10)*(o - 2)*(2*o + 3)
Factor 4*a**2/5 - 12*a + 56/5.
4*(a - 14)*(a - 1)/5
Suppose 45*w**3 - 730*w**2 + 835*w - 150 = 0. What is w?
2/9, 1, 15
Solve -55*s**4 - 80*s**3 + 225*s**2 - 90*s = 0 for s.
-3, 0, 6/11, 1
Let -72*g**5 - 120*g**4 + 550*g**3 - 460*g**2 + 110*g - 8 = 0. What is g?
-4, 1/6, 1
Suppose d**4/4 - d**3 - 61*d**2/4 + d + 15 = 0. What is d?
-6, -1, 1, 10
Suppose 2*i**5 + 68*i**4/3 + 76*i**3/3 - 232*i**2 + 350*i/3 + 196/3 = 0. What is i?
-7, -1/3, 1, 2
Suppose 2*d**5/9 - 8*d**4/9 - 2*d**3/3 + 68*d**2/9 - 104*d/9 + 16/3 = 0. What is d?
-3, 1, 2
Let -8*p**4 - 1288*p**3 - 2554*p**2 - 1592*p - 318 = 0. Calculate p.
-159, -1, -1/2
Factor -2*u**2 - 28*u - 48.
-2*(u + 2)*(u + 12)
Solve -2*y**4/3 + 28*y**3 - 128*y**2 + 524*y/3 - 74 = 0 for y.
1, 3, 37
Factor 2*r**2/3.
2*r**2/3
What is i in -15*i**4 - 1460*i**3 - 475*i**2 + 970*i = 0?
-97, -1, 0, 2/3
Factor 2*p**2/7 + 2566*p/7 - 2568/7.
2*(p - 1)*(p + 1284)/7
Factor x**4/5 - 68*x**3/5 + 1222*x**2/5 - 2244*x/5 + 1089/5.
(x - 33)**2*(x - 1)**2/5
Factor -z**4 + 5*z**3 - 6*z**2 - 4*z + 8.
-(z - 2)**3*(z + 1)
Factor 5*k**4 + 60*k**3 + 105*k**2 - 490*k.
5*k*(k - 2)*(k + 7)**2
Factor -458*g**2/19 - 48*g + 8/19.
-2*(g + 2)*(229*g - 2)/19
Factor 4*c**5 + 4*c**4.
4*c**4*(c + 1)
Solve p**3/5 - 64*p**2/5 - 667*p/5 + 146 = 0.
-10, 1, 73
Factor z**5 + 23*z**4 + 60*z**3 - 4*z**2 - 80*z.
z*(z - 1)*(z + 2)**2*(z + 20)
Factor 40*v**4 - 1380*v**3 + 17010*v**2 - 85995*v + 138915.
5*(v - 3)*(2*v - 21)**3
What is h in 8*h**4/9 - 122*h**3/9 - 26*h**2 - 70*h/9 + 34/9 = 0?
-1, 1/4, 17
Factor -5*c**4/8 + 9*c**3/8 + c**2/4.
-c**2*(c - 2)*(5*c + 1)/8
Let -17150*p**3 - 5880*p**2 - 672*p - 128/5 = 0. Calculate p.
-4/35
Factor 2*x**3/5 - 22*x**2 - 228*x/5.
2*x*(x - 57)*(x + 2)/5
Factor 2*w**4/9 + 100*w**3/3 + 914*w**2 - 25200*w + 127008.
2*(w - 9)**2*(w + 84)**2/9
Factor -9*c**4 + 1923*c**3 + 642*c**2.
-3*c**2*(c - 214)*(3*c + 1)
Factor -j**3/3 - 5*j**2/3.
-j**2*(j + 5)/3
Factor -2*r**2 + 190*r - 188.
-2*(r - 94)*(r - 1)
Determine h, given that -4*h**5 + 36*h**4 + 84*h**3 + 44*h**2 = 0.
-1, 0, 11
Let 3*i**2 + 3162*i + 833187 = 0. Calculate i.
-527
Determine w so that -4*w**3 - 8*w**2 + 32*w = 0.
-4, 0, 2
Factor 2*q**2 - 34*q - 120.
2*(q - 20)*(q + 3)
Find h, given that 676*h**2 - 104*h + 4 = 0.
1/13
Factor q**3 + 4*q**2 + 4*q.
q*(q + 2)**2
Solve -5*b**5/6 - 140*b**4/3 - 2090*b**3/3 - 3505*b**2/3 + 1395*b/2 + 1215 = 0 for b.
-27, -2, -1, 1
Factor -2*y**4 - 10*y**3 + 128*y**2 + 568*y + 576.
-2*(y - 8)*(y + 2)**2*(y + 9)
Determine s so that -2*s**2 - 18*s = 0.
-9, 0
Let -g**3/5 + 111*g**2/5 - 4107*g/5 + 50653/5 = 0. Calculate g.
37
Determine u so that 2*u**5/3 + 38*u**4/3 - 232*u**3/3 + 64*u**2 = 0.
-24, 0, 1, 4
Find z, given that 2*z**2/7 + 82*z/7 + 156/7 = 0.
-39, -2
Determine d so that -3*d**5/4 - 55*d**4/4 + 165*d**3/4 - 65*d**2/4 - 21*d/2 = 0.
-21, -1/3, 0, 1, 2
Determine d so that 3*d**5/4 + 63*d**4/4 + 81*d**3/2 - 3*d**2 - 54*d = 0.
-18, -2, 0, 1
Let -i**4/2 + 12*i**2 - 32*i + 24 = 0. Calculate i.
-6, 2
Suppose -k**3/2 + 365*k**2/2 - 33123*k/2 - 33489/2 = 0. Calculate k.
-1, 183
Find s such that -4*s**4 - 176*s**3 - 2100*s**2 - 3528*s = 0.
-21, -2, 0
Solve -3*s**3 + 27*s**2 - 60*s = 0 for s.
0, 4, 5
Factor n**2 - 15*n + 54.
(n - 9)*(n - 6)
Determine k so that -2*k**2/15 + 538*k - 8068/15 = 0.
1, 4034
Factor -o**3/8 + 49*o**2/8 - 415*o/8 + 975/8.
-(o - 39)*(o - 5)**2/8
Let i**2/7 + 190*i/7 - 579/7 = 0. Calculate i.
-193, 3
Determine w so that 6*w**5 - 16*w**4 - 82*w**3 + 276*w**2 - 144*w = 0.
-4, 0, 2/3, 3
Suppose -z**4/4 - 109*z**3/2 - 474*z**2 - 1571*z/2 - 1463/4 = 0. Calculate z.
-209, -7, -1
Let 44*v**2 - 640*v + 336 = 0. Calculate v.
6/11, 14
Suppose -4*b**5 + 64*b**4 - 288*b**3 + 520*b**2 - 412*b + 120 = 0. Calculate b.
1, 3, 10
Solve -21*u**3 + 69*u**2 + 192*u - 60 = 0.
-2, 2/7, 5
Let 25*y**3 - 410*y**2 + 1660*y - 600 = 0. W