28*g**3 - 120*g**2 - 144*g.
-2*g*(g + 2)*(g + 6)**2
Solve 3*h**3 + 63*h**2 - 138*h = 0.
-23, 0, 2
Suppose -t**5 - 8*t**4 + 2*t**3 + 16*t**2 - t - 8 = 0. What is t?
-8, -1, 1
Factor 2*y**3/9 - 16*y**2/9 - 40*y/9.
2*y*(y - 10)*(y + 2)/9
Solve -5*s**2 - 19420*s - 18856820 = 0.
-1942
Factor -2*q**2/13 + 2/13.
-2*(q - 1)*(q + 1)/13
Let 3*r**3 - 114*r**2 - 3*r + 114 = 0. What is r?
-1, 1, 38
Let -5*w**3 + 30*w**2 + 20*w - 120 = 0. What is w?
-2, 2, 6
Solve -4*t**5 + 60*t**4 - 232*t**3 - 72*t**2 + 812*t + 588 = 0 for t.
-1, 3, 7
Solve -3*n**4/8 + 615*n**3/2 - 336609*n**2/4 + 15427503*n/2 - 61039251/8 = 0.
1, 273
Factor 12*p**2/7 + 226*p/7 - 38/7.
2*(p + 19)*(6*p - 1)/7
Factor 34*a**2/9 - 56*a/9 + 22/9.
2*(a - 1)*(17*a - 11)/9
Factor 4*v**2/7 + 24*v/7 - 64/7.
4*(v - 2)*(v + 8)/7
Determine f so that -85*f**2 + 20*f = 0.
0, 4/17
Factor 65*h**2/4 - 31*h/4 - 21/2.
(5*h + 3)*(13*h - 14)/4
Factor g**3/2 - 3*g**2 + 4*g.
g*(g - 4)*(g - 2)/2
Factor 4*u**2 - 280*u + 4900.
4*(u - 35)**2
Determine x, given that 10*x**5/11 - 36*x**4/11 + 4*x**3 - 16*x**2/11 - 6*x/11 + 4/11 = 0.
-2/5, 1
What is u in u**3 + 27*u**2 - 28*u = 0?
-28, 0, 1
Factor 12*n**3 - 140*n**2 + 304*n - 144.
4*(n - 9)*(n - 2)*(3*n - 2)
Suppose 3*b**3 - 1563*b**2 = 0. Calculate b.
0, 521
Let 12*b**5 - 88*b**4 + 484*b**3/3 - 112*b**2 + 80*b/3 = 0. What is b?
0, 2/3, 1, 5
Solve 4*f**5 - 76*f**4 + 396*f**3 - 324*f**2 = 0.
0, 1, 9
Factor -485809*g**4 + 5832496*g**3 - 17522584*g**2 + 100416*g - 144.
-(g - 6)**2*(697*g - 2)**2
What is a in -2*a**2/11 - 62*a/11 - 468/11 = 0?
-18, -13
Find x such that -2*x**3 - 12*x**2 - 18*x - 8 = 0.
-4, -1
Suppose -5*c**5/2 + 2465*c**4/2 - 154960*c**3 + 753970*c**2 - 1195600*c + 595360 = 0. What is c?
1, 2, 244
Factor -h**4/6 - 4*h**3/3 - 23*h**2/6 - 14*h/3 - 2.
-(h + 1)*(h + 2)**2*(h + 3)/6
What is x in 10*x**3 + 32*x**2/3 + 2*x/3 = 0?
-1, -1/15, 0
Find t such that -t**5 + 15*t**4 - 19*t**3 - 267*t**2 - 412*t - 180 = 0.
-2, -1, 9, 10
Factor -f**3/6 - 20*f**2/3 - 437*f/6 - 361/3.
-(f + 2)*(f + 19)**2/6
Find m, given that 4*m**2/5 + 12*m - 216/5 = 0.
-18, 3
Factor -5*j**3 + 25*j**2 - 20*j.
-5*j*(j - 4)*(j - 1)
Determine o, given that 15*o**4 + 10735*o**3 + 1918870*o**2 - 647980*o - 1281640 = 0.
-358, -2/3, 1
Factor 2*q**5/7 - 4*q**4/7 - 30*q**3/7.
2*q**3*(q - 5)*(q + 3)/7
Solve 2*f**3/11 - 6210*f**2/11 + 4823616*f/11 - 4817408/11 = 0 for f.
1, 1552
Factor -3*b**2/8 - 141*b/8.
-3*b*(b + 47)/8
Suppose -k**3 + 26*k**2 - 49*k + 24 = 0. What is k?
1, 24
Suppose 3*m**5 + 6*m**4 - 12*m**3 - 24*m**2 = 0. What is m?
-2, 0, 2
Let -3*q**3 + 30*q**2 + 96*q - 1152 = 0. Calculate q.
-6, 8
Determine g so that -2*g**3 - 12*g**2 + 2*g + 12 = 0.
-6, -1, 1
Factor 2*m**3/15 - 116*m**2/15 + 558*m/5.
2*m*(m - 31)*(m - 27)/15
Solve 45*x**5 + 165*x**4 - 310*x**3 - 1470*x**2 - 855*x - 135 = 0 for x.
-3, -1/3, 3
Factor 2*y**3/5 + 124*y**2/5 + 122*y/5.
2*y*(y + 1)*(y + 61)/5
What is g in 6*g**4/17 - 104*g**3/17 - 188*g**2/17 - 40*g/17 + 38/17 = 0?
-1, 1/3, 19
Factor 2*n**2/5 - 4*n + 18/5.
2*(n - 9)*(n - 1)/5
Find s such that 2*s**5/15 + 346*s**4/15 + 15136*s**3/15 + 14792*s**2/15 = 0.
-86, -1, 0
Find k such that -k**2 - 459*k + 1386 = 0.
-462, 3
What is n in -8*n**2/11 - 202*n/11 - 194/11 = 0?
-97/4, -1
Factor -3*a**3 - 20386*a**2 - 34625620*a + 23092808.
-(a + 3398)**2*(3*a - 2)
Determine v, given that -5*v**5/2 - 6*v**4 + 28*v**3 + 32*v**2 - 72*v - 32 = 0.
-4, -2, -2/5, 2
Factor k**2 - 3*k + 2.
(k - 2)*(k - 1)
Let -f**4 - 13*f**3/5 + 6*f**2/5 + 4*f - 8/5 = 0. Calculate f.
-2, 2/5, 1
Determine r, given that -11*r**4/2 - 19*r**3/8 + 31*r**2/8 + 3*r/4 = 0.
-1, -2/11, 0, 3/4
Factor -v**3/5 + 2*v**2 + 39*v/5.
-v*(v - 13)*(v + 3)/5
Determine z so that 4*z**3 + 88*z**2 + 84*z = 0.
-21, -1, 0
Suppose 2*k**3 - 2*k = 0. What is k?
-1, 0, 1
Determine i so that -i**4/3 - 4*i**3/3 + 9*i**2 - 38*i/3 + 16/3 = 0.
-8, 1, 2
Find u, given that 4*u**4/11 - 54*u**3/11 - 8*u**2 - 30*u/11 = 0.
-1, -1/2, 0, 15
Determine f so that 4*f**4 - 16*f**3 - 12*f**2 + 56*f - 32 = 0.
-2, 1, 4
Solve -j**5/5 + 3*j**4/5 + j**3/5 - 11*j**2/5 + 12*j/5 - 4/5 = 0.
-2, 1, 2
Let -5*h**3 - 18*h**2 - 7*h + 6 = 0. What is h?
-3, -1, 2/5
Factor z**3/2 - 1309*z**2/2 + 214512*z - 213858.
(z - 654)**2*(z - 1)/2
Factor 10*z**3 - 295*z**2/3 + 220*z/3 + 15.
5*(z - 9)*(z - 1)*(6*z + 1)/3
Factor 5*g**2 + 4335*g + 4330.
5*(g + 1)*(g + 866)
Suppose -25*f**5 - 260*f**4 + 825*f**3 - 280*f**2 - 260*f = 0. Calculate f.
-13, -2/5, 0, 1, 2
Factor -4*o**5 + 8*o**4 + 48*o**3 - 160*o**2 + 128*o.
-4*o*(o - 2)**3*(o + 4)
Factor 3*c**2 - 2388*c + 475212.
3*(c - 398)**2
Factor 2*z**5 + 10*z**4 - 10*z**3 - 50*z**2 + 80*z - 32.
2*(z - 1)**3*(z + 4)**2
Find d such that -d**2 + 36 = 0.
-6, 6
Find a, given that -8*a**3/11 + 38*a**2/11 + 16*a/11 - 30/11 = 0.
-1, 3/4, 5
Let p**3/4 + 383*p**2/4 + 9120*p - 9216 = 0. What is p?
-192, 1
Factor -j**4/10 + 19*j**3/10 - 63*j**2/10 + 9*j/2.
-j*(j - 15)*(j - 3)*(j - 1)/10
What is j in 2*j**5/13 + 20*j**4/13 + 58*j**3/13 + 64*j**2/13 + 24*j/13 = 0?
-6, -2, -1, 0
Factor -27*l**3 - 48*l**2 + 93*l - 18.
-3*(l - 1)*(l + 3)*(9*l - 2)
Determine q, given that -5*q**5 - 10*q**4 + 25*q**3 + 30*q**2 = 0.
-3, -1, 0, 2
Solve 9702*q**5/5 - 285432*q**4/5 + 2204518*q**3/5 - 1553132*q**2/5 + 373928*q/5 - 29584/5 = 0 for q.
2/11, 2/7, 43/3
Let 3*c**2 - 513*c - 516 = 0. Calculate c.
-1, 172
What is a in 4*a**5/5 + 102*a**4/5 + 142*a**3/5 - 54*a**2/5 - 146*a/5 - 48/5 = 0?
-24, -1, -1/2, 1
Factor -4*j**3 - 2724*j**2 - 37548*j - 130732.
-4*(j + 7)**2*(j + 667)
Find o such that -4*o**5 - 16*o**4 - 4*o**3 + 24*o**2 = 0.
-3, -2, 0, 1
Factor -2*p**3/3 - 78*p**2 - 688*p/3 - 152.
-2*(p + 1)*(p + 2)*(p + 114)/3
Factor 4*n**3 + 28*n**2 + 44*n + 20.
4*(n + 1)**2*(n + 5)
Factor -2*p**4 + 14*p**3 + 36*p**2.
-2*p**2*(p - 9)*(p + 2)
Determine p so that -2*p**3/9 + 92*p**2/9 - 1144*p/9 + 1936/9 = 0.
2, 22
Factor 128*f**4/11 - 544*f**3/11 + 130*f**2/11 - 8*f/11.
2*f*(f - 4)*(8*f - 1)**2/11
What is g in 5*g**5/3 + 98*g**4/3 + 710*g**3/3 + 2200*g**2/3 + 2125*g/3 - 1250/3 = 0?
-5, 2/5
Factor 4*w**2/3 - 80*w + 1200.
4*(w - 30)**2/3
Factor -4*n**3 + 48*n**2 - 68*n - 120.
-4*(n - 10)*(n - 3)*(n + 1)
Determine a, given that -2*a**3/3 + 28*a**2/3 - 118*a/3 + 140/3 = 0.
2, 5, 7
Let -2*v**2/3 + 1540*v/3 - 296450/3 = 0. What is v?
385
Factor g**5 + 5*g**4 - 3*g**3 - 17*g**2 - 10*g.
g*(g - 2)*(g + 1)**2*(g + 5)
Suppose -5*u**4/9 - 49*u**3/3 + 1172*u**2/9 - 196*u/3 - 48 = 0. What is u?
-36, -2/5, 1, 6
Determine o, given that -o**4/4 + 2*o**3 - 11*o**2/2 + 6*o - 9/4 = 0.
1, 3
Factor o**3/3 + 14*o**2 + 57*o - 518/3.
(o - 2)*(o + 7)*(o + 37)/3
Factor -4*n**2 + 200*n - 2500.
-4*(n - 25)**2
Find a such that a**4 - 75*a**3 + 219*a**2 - 217*a + 72 = 0.
1, 72
Find k, given that -k**2/3 - 146*k/3 - 5329/3 = 0.
-73
Factor -3*g**3/7 + 78*g**2/7 - 480*g/7 + 864/7.
-3*(g - 18)*(g - 4)**2/7
Factor -p**3/11 + 4*p**2/11 + 19*p/11 + 14/11.
-(p - 7)*(p + 1)*(p + 2)/11
Let 2*u**4/23 - 2*u**2/23 = 0. Calculate u.
-1, 0, 1
Suppose 2*d**3 - 3720*d**2 + 1729800*d = 0. Calculate d.
0, 930
Solve -o**2 - 3*o + 70 = 0 for o.
-10, 7
Factor 9*x**5/5 + 39*x**4/5 - 48*x**3/5.
3*x**3*(x - 1)*(3*x + 16)/5
Solve 2*v**2/5 - 6*v/5 = 0 for v.
0, 3
What is d in -2880*d**5 - 1200*d**4 + 60355*d**3 - 32400*d**2 - 21375*d - 2500 = 0?
-5, -5/24, 1, 4
Solve -8*s**4 - 176*s**3/3 + 42*s**2 - 16*s/3 = 0.
-8, 0, 1/6, 1/2
Let 3*n**3 - 69*n**2 + 237*n - 171 = 0. What is n?
1, 3, 19
Find m such that -3*m**4/7 + 117*m**3/7 + 123*m**2/7 - 117*m/7 - 120/7 = 0.
-1, 1, 40
Find w, given that -4*w**3 - 176*w**2 - 1748*w + 4232 = 0.
-23, 2
Factor -9*a**2/2 + 1425*a/2 - 237.
-3*(a - 158)*(3*a - 1)/2
Find a, given that 242*a**3 - 3960*a**2 + 1416*a - 128 = 0.
2/11, 16
Find y, given that -5*y**4 + 20*y**3 + 135*y**2 + 190*y + 80 = 0.
-2, -1, 8
Factor -10*u**3/7 - 1506*u**2 - 2779398*u/7 - 555458/7.
-2*(u + 527)**2*(5*u + 1)/7
Determine u, given that -20*u**4 - 185*u**3 + 540*u**2 + 1805*u + 1100 = 0.
-11, -5/4, -1, 4
Solve n**4/8 + 27*n**3/8 + 21*n**2/8 - 127*n/8 + 39/4 = 0.
-26, -3, 1
Factor -98*j**3 + 5334*j**2 + 3072*j + 440.
-2*(j - 55)*(7*j + 2)**2
Let 28*a**3 + 860*a**2 - 5288*a + 1440 = 0. What is a?
-36, 2/7, 5
Let 18*p**5 - 214*p**4/5 - 194*p**3 - 978*p**2/5 - 352*p/5 - 8 = 0. What is p?
-1, -2/5, -2/9, 5
Factor 5*p**2 + 8890*