*g**2/7 - 32*g/7.
2*g*(g - 4)*(g - 2)**2/7
Factor -2*n**4 + 570*n**3 + 3468*n**2 + 6968*n + 4656.
-2*(n - 291)*(n + 2)**3
Let 3*h**4 - 135*h**3 + 1449*h**2 + 1587*h = 0. What is h?
-1, 0, 23
Determine f so that -f**2/7 + 18*f = 0.
0, 126
Suppose -9*v**5/11 + 74*v**4/11 - 70*v**3/11 - 60*v**2/11 + 79*v/11 - 14/11 = 0. What is v?
-1, 2/9, 1, 7
Solve -t**4 + 4*t**3 - 4*t**2 = 0 for t.
0, 2
Factor -o**3 + 90*o**2 + 1632*o + 6784.
-(o - 106)*(o + 8)**2
Suppose 2*f**4 + 60*f**3 + 168*f**2 + 164*f + 54 = 0. What is f?
-27, -1
Factor 2*u**2 + 1280*u + 204800.
2*(u + 320)**2
Factor 3*s**3 - 5400*s**2 - 5403*s.
3*s*(s - 1801)*(s + 1)
Solve -3*i**4 + 81*i**3 + 84*i**2 = 0 for i.
-1, 0, 28
Find q such that 3*q**3/7 + 216*q**2/7 + 585*q + 1050 = 0.
-35, -2
Determine m, given that 5*m**2 - 30*m - 35 = 0.
-1, 7
Determine h, given that 4*h**2/3 - 236*h/3 + 232/3 = 0.
1, 58
Factor 4*y**5 - 12*y**4 - 136*y**3 - 208*y**2 + 96*y + 256.
4*(y - 8)*(y - 1)*(y + 2)**3
Suppose -u**4/2 + 17*u**3/4 - 25*u**2/2 + 57*u/4 - 9/2 = 0. What is u?
1/2, 2, 3
Factor -c**2/11 - 19*c.
-c*(c + 209)/11
Let -3*q**5 + 39*q**4 - 171*q**3 + 309*q**2 - 246*q + 72 = 0. What is q?
1, 4, 6
What is k in 2*k**3/9 + 80*k**2/9 - 638*k/9 + 940/9 = 0?
-47, 2, 5
Factor -36*l**4 + 39*l**3 - 4*l**2 - 4*l.
-l*(3*l - 2)**2*(4*l + 1)
Factor -9*i**3/8 - 33*i**2/8 - 9*i/2 - 3/2.
-3*(i + 1)*(i + 2)*(3*i + 2)/8
Let m**3/3 - 2*m**2 - 7*m/3 = 0. Calculate m.
-1, 0, 7
Find f such that -81*f**5/2 + 45*f**4/2 + 24*f**3 - 6*f**2 = 0.
-2/3, 0, 2/9, 1
Suppose 4*k**4/11 + 70*k**3/11 + 24*k**2/11 - 166*k/11 + 68/11 = 0. Calculate k.
-17, -2, 1/2, 1
Factor -c**2/3 - 2053*c/3 + 2054/3.
-(c - 1)*(c + 2054)/3
Find i such that 4*i**2 + 188*i + 984 = 0.
-41, -6
Determine s so that 20*s**5 - 688*s**4 + 2692*s**3 + 56152*s**2 + 118272*s - 56448 = 0.
-4, 2/5, 21
Factor -5*j**4 - 10*j**3 + 15*j**2 + 20*j - 20.
-5*(j - 1)**2*(j + 2)**2
Determine p, given that p**4 + 11*p**3 + 9*p**2 - 11*p - 10 = 0.
-10, -1, 1
Factor -2*y**3/7 + 8*y**2/7 + 22*y/7 + 12/7.
-2*(y - 6)*(y + 1)**2/7
Find o such that -10*o**3 - 53*o**2 - 75*o - 18 = 0.
-3, -2, -3/10
Factor -l**5 + 7*l**4 + 54*l**3 + 76*l**2 - 40*l - 96.
-(l - 12)*(l - 1)*(l + 2)**3
Suppose g**4/4 + 59*g**3/4 + 285*g**2 + 1700*g - 2000 = 0. What is g?
-20, 1
Solve l**2/2 + 5*l/2 - 7 = 0.
-7, 2
Factor -4*k**3 + 20*k**2 + 128*k + 144.
-4*(k - 9)*(k + 2)**2
Factor 4*g**2 - 24*g.
4*g*(g - 6)
Determine y, given that 3*y**5 + 6*y**4 - 9*y**3 - 24*y**2 - 12*y = 0.
-2, -1, 0, 2
Factor -4*g**5 + 16*g**3 - 8*g**2 - 12*g + 8.
-4*(g - 1)**3*(g + 1)*(g + 2)
Suppose -5*w**5/4 - 5*w**4/4 + 15*w**3/4 + 25*w**2/4 + 5*w/2 = 0. What is w?
-1, 0, 2
Suppose -2*a**5 - 314*a**4 - 312*a**3 = 0. Calculate a.
-156, -1, 0
Factor 2*j**2/15 + 1132*j/15 + 160178/15.
2*(j + 283)**2/15
Solve 49*z**5/5 + 98*z**4/5 - 396*z**3/5 - 8*z**2/5 + 32*z/5 = 0.
-4, -2/7, 0, 2/7, 2
Find l such that -2*l**3/15 - 6*l**2/5 = 0.
-9, 0
Factor -5*m**5 - 110*m**4 - 480*m**3 + 1440*m**2.
-5*m**2*(m - 2)*(m + 12)**2
Factor 1331*g**4/8 + 1089*g**3/2 + 561*g**2/4 + 25*g/2 + 3/8.
(g + 3)*(11*g + 1)**3/8
Factor -2*s**3/13 - 22*s**2/13 - 48*s/13.
-2*s*(s + 3)*(s + 8)/13
Solve -5*x**2 - 90*x - 225 = 0 for x.
-15, -3
Factor z**2 - 89*z - 90.
(z - 90)*(z + 1)
Solve -2*v**4/5 + 18*v**3 + 92*v**2/5 = 0 for v.
-1, 0, 46
Determine v, given that 3*v**3 + 27*v**2 + 45*v - 75 = 0.
-5, 1
Find x, given that 2*x**5 - 102*x**4/7 + 28*x**3 + 8*x**2/7 - 240*x/7 + 64/7 = 0.
-1, 2/7, 2, 4
Let 2*r**2 + 14*r - 16 = 0. Calculate r.
-8, 1
Factor -o**5 + 8*o**4 - 9*o**3 - 18*o**2.
-o**2*(o - 6)*(o - 3)*(o + 1)
Factor -d**2/10 - 13*d/10 + 34/5.
-(d - 4)*(d + 17)/10
Suppose 12*o**3/5 + 622*o**2/5 - 256*o + 646/5 = 0. What is o?
-323/6, 1
Factor w**2/3 - 5306*w + 21115227.
(w - 7959)**2/3
Factor 2*t**4/3 - 10*t**3/3 + 2*t**2 + 10*t/3 - 8/3.
2*(t - 4)*(t - 1)**2*(t + 1)/3
Factor -35*w**2 - 151470*w + 43280.
-5*(w + 4328)*(7*w - 2)
Factor 5*f**4 - 13*f**3 + 6*f**2.
f**2*(f - 2)*(5*f - 3)
Solve v**4/3 - 30*v**3 + 2113*v**2/3 - 1320*v + 1936/3 = 0 for v.
1, 44
Let -3*w**2 + 14508*w - 17540172 = 0. What is w?
2418
Solve -g**2 + 1516*g - 574564 = 0 for g.
758
Let -9*w**5/5 + 39*w**4/5 + 6*w**3 = 0. What is w?
-2/3, 0, 5
Determine o so that -2*o**3/5 + 14*o**2/5 - 16*o/5 - 32/5 = 0.
-1, 4
Determine r, given that r**2 + 94*r - 95 = 0.
-95, 1
Suppose i**4/4 + 9*i**3/4 + 7*i**2 + 9*i + 4 = 0. What is i?
-4, -2, -1
Solve -5*f**2 + 2585*f = 0.
0, 517
Factor -4*s**5 + 216*s**3 + 864*s**2 + 972*s.
-4*s*(s - 9)*(s + 3)**3
Solve -3*h**4 + 36*h**3 + 177*h**2 + 234*h + 96 = 0 for h.
-2, -1, 16
Determine v so that 2*v**4 + 72*v**3 + 646*v**2 - 72*v - 648 = 0.
-18, -1, 1
Suppose -2*b**3/3 - 50*b**2/3 + 168*b - 264 = 0. Calculate b.
-33, 2, 6
Factor -2*y**2 + 6*y + 20.
-2*(y - 5)*(y + 2)
Factor -4*d**3/7 + 4*d**2 + 104*d/7 - 288/7.
-4*(d - 9)*(d - 2)*(d + 4)/7
Suppose 64*q**5 + 496*q**4 - 144*q**3 - 124*q**2 + 32*q = 0. Calculate q.
-8, -1/2, 0, 1/4, 1/2
Find f, given that -8*f**4 + 6*f**3 + 2*f**2 = 0.
-1/4, 0, 1
Let q**3/3 + 4*q**2 - 13*q/3 = 0. Calculate q.
-13, 0, 1
What is d in 4*d**4 + 44*d**3 + 128*d**2 + 112*d = 0?
-7, -2, 0
Factor g**2/4 - 125*g/4 + 123/2.
(g - 123)*(g - 2)/4
Solve 2*w**3/7 - 16*w**2/7 - 2*w/7 + 16/7 = 0.
-1, 1, 8
Determine j so that 5*j**3/3 - 8*j**2 + 5*j + 4/3 = 0.
-1/5, 1, 4
Let 2*b**5/19 + 6*b**4/19 - 8*b**2/19 = 0. What is b?
-2, 0, 1
Suppose -3*u**3/2 + 1623*u**2/8 - 1605*u/4 + 1599/8 = 0. Calculate u.
1, 533/4
Solve -o**2 + 22*o - 105 = 0 for o.
7, 15
Find p, given that 8*p**5/3 - 760*p**4/3 + 6462*p**3 - 157540*p**2/3 + 143378*p/3 - 11560 = 0.
1/2, 17, 60
Solve 4*q**2/3 - 1717*q/3 + 143 = 0.
1/4, 429
Factor 10*l**2 + 1795*l - 900.
5*(l + 180)*(2*l - 1)
Factor -3*f**3 + 5118*f**2.
-3*f**2*(f - 1706)
What is y in y**3/2 - 2955*y**2/2 + 2910675*y/2 - 955671625/2 = 0?
985
Solve -2*a**3/3 - 70*a**2/3 - 192*a + 216 = 0.
-18, 1
Determine a, given that 51*a**3/5 - 135*a**2 + 768*a/5 - 144/5 = 0.
4/17, 1, 12
Factor -2*j**2/9 + 9608*j/9.
-2*j*(j - 4804)/9
Factor l**5/6 - 3605*l**4/6 + 2599205*l**3/3 - 1874026805*l**2/3 + 1351173326405*l/6 - 194839193667601/6.
(l - 721)**5/6
Find v such that 3*v**2 + 1062*v + 93987 = 0.
-177
Solve -3*m**3/2 + 141*m**2/2 - 435*m + 600 = 0.
2, 5, 40
Factor -2*g**3/9 - 14*g**2/3 - 12*g.
-2*g*(g + 3)*(g + 18)/9
Suppose -6*o**4 + 4*o**3 + 8*o**2 - 4*o - 2 = 0. What is o?
-1, -1/3, 1
Factor -3*o**4 - 36*o**3 + 486*o**2 - 1620*o + 1701.
-3*(o - 3)**3*(o + 21)
Determine t, given that 4*t**5/5 + 168*t**4/5 + 456*t**3/5 - 512*t**2/5 - 348*t - 936/5 = 0.
-39, -3, -1, 2
Factor 4*t**5 + 1744*t**4 - 14112*t**3 + 42496*t**2 - 56768*t + 28416.
4*(t - 2)**4*(t + 444)
Factor -3*j**2 + 15*j + 42.
-3*(j - 7)*(j + 2)
Factor 49*t**5 + 483*t**4 + 1709*t**3 + 2529*t**2 + 1350*t + 216.
(t + 3)**3*(7*t + 2)*(7*t + 4)
Suppose 98*s**5 - 210742*s**4 + 113130704*s**3 + 178159784*s**2 + 74080448*s + 9262208 = 0. Calculate s.
-1, -2/7, 1076
Factor -2*h**3/5 + 4394*h**2/5 - 2411206*h/5 - 2415602/5.
-2*(h - 1099)**2*(h + 1)/5
Suppose 4*k**3 - 216*k**2 + 2916*k = 0. Calculate k.
0, 27
Factor 3*j**3/4 + 693*j**2/4 + 53361*j/4 + 1369599/4.
3*(j + 77)**3/4
Factor -2*m**3/13 + 304*m**2/13 + 306*m/13.
-2*m*(m - 153)*(m + 1)/13
Let -i**2/5 - 2*i/5 = 0. What is i?
-2, 0
Find m such that 4*m**5/3 - 188*m**4/3 - 8*m**3/3 + 376*m**2/3 + 4*m/3 - 188/3 = 0.
-1, 1, 47
Factor 4*g**4 + 72*g**3 + 180*g**2 - 16*g - 240.
4*(g - 1)*(g + 2)**2*(g + 15)
Let 6*f**4/5 + 94*f**3/5 + 298*f**2/5 - 542*f/5 + 144/5 = 0. Calculate f.
-9, -8, 1/3, 1
Factor -2*g**5 - 44*g**4 - 280*g**3 - 400*g**2.
-2*g**2*(g + 2)*(g + 10)**2
Determine u, given that 2*u**2/3 + 48*u + 864 = 0.
-36
Factor 4*u**3 + 36*u**2 + 44*u - 84.
4*(u - 1)*(u + 3)*(u + 7)
Factor -p**5/5 - 229*p**4 - 104882*p**3 - 24017978*p**2 - 2750058481*p - 629763392149/5.
-(p + 229)**5/5
Factor 4*q**2 + 4608*q + 1327104.
4*(q + 576)**2
What is p in -3*p**3 + 171*p**2 - 1224*p + 2352 = 0?
4, 49
Factor -q**2 + 44*q - 484.
-(q - 22)**2
Find h such that 4*h**5 - 248*h**4 + 1168*h**3 - 1608*h**2 + 684*h = 0.
0, 1, 3, 57
Factor -3*y**2 + 1416*y - 167088.
-3*(y - 236)**2
Factor -4*i**2 - 136*i - 256.
-4*(i + 2)*(i + 32)
Suppose 5*m**3 + 315*m**2 + 1180*m = 0. What is m?
-59, -4, 0
Factor -t**3/3 - 3*t**2 - 5*t - 7/3.
-(t + 1)**2*(t + 7)/3
D