*l**2/3 + 80*l + 225.
5*(l + 3)*(l + 45)/3
Solve 4*u**5 - 1628*u**4/5 + 2248*u**3/5 - 128*u**2 = 0.
0, 2/5, 1, 80
Factor -c**4/9 + c**3/9 + 13*c**2/9 - 25*c/9 + 4/3.
-(c - 3)*(c - 1)**2*(c + 4)/9
Factor 2*a**4/7 + 2*a**3/7 - 30*a**2/7 + 46*a/7 - 20/7.
2*(a - 2)*(a - 1)**2*(a + 5)/7
Find f such that f**4/4 + 21*f**3/2 - 11*f**2 - 21*f/2 + 43/4 = 0.
-43, -1, 1
Determine s so that -2*s**4/3 - 28*s**3 - 698*s**2/3 + 1288*s - 4232/3 = 0.
-23, 2
Factor 36*x**3/5 - 2276*x**2/5 + 4896*x/5 - 976/5.
4*(x - 61)*(x - 2)*(9*x - 2)/5
Let -3*o**2 - 1203*o/5 - 48 = 0. What is o?
-80, -1/5
Factor 4*p**5 + 540*p**4 - 544*p**3.
4*p**3*(p - 1)*(p + 136)
Factor 4*x**2 - 1904*x.
4*x*(x - 476)
Factor -4*s**4 + 4*s**3 + 36*s**2 - 36*s.
-4*s*(s - 3)*(s - 1)*(s + 3)
Find y such that -2*y**2 - 804*y - 80802 = 0.
-201
Factor z**2/4 + 33*z/2 + 1089/4.
(z + 33)**2/4
Factor 54*c**3 - 182*c**2 + 168*c - 40.
2*(c - 2)*(c - 1)*(27*c - 10)
Find b, given that 2*b**5 + 8*b**4/3 - 26*b**3/3 + 4*b**2 = 0.
-3, 0, 2/3, 1
Find j, given that -j**3/7 - 22*j**2/7 - 59*j/7 - 38/7 = 0.
-19, -2, -1
Suppose 384*j**2 - 4*j = 0. Calculate j.
0, 1/96
Factor -3*z**3 + 3267*z**2 - 884520*z - 2683044.
-3*(z - 546)**2*(z + 3)
Suppose 4*q**2/9 - 584*q/9 + 21316/9 = 0. Calculate q.
73
Determine r so that -r**2/4 - 7567*r/2 - 57259489/4 = 0.
-7567
Let -2*j**4 - 26*j**3 + 62*j**2 + 26*j - 60 = 0. What is j?
-15, -1, 1, 2
Find d, given that 5*d**3 + 20*d**2 + 15*d = 0.
-3, -1, 0
Factor -5*u**2 + 285*u/2 + 145/2.
-5*(u - 29)*(2*u + 1)/2
Suppose -6*y**2 - 81*y - 39 = 0. What is y?
-13, -1/2
Solve 2*h**3 + 318*h**2 + 16854*h + 297754 = 0 for h.
-53
Solve -3*z**3/8 - 57*z**2/4 - 297*z/2 - 243 = 0 for z.
-18, -2
Factor 3*n**5/2 + 83*n**4/2 + 427*n**3 + 1911*n**2 + 5831*n/2 - 2401/2.
(n + 7)**4*(3*n - 1)/2
Factor -3*w**2 - 3018*w - 759027.
-3*(w + 503)**2
Factor l**5/10 + 2*l**4/5 + 2*l**3/5.
l**3*(l + 2)**2/10
Suppose -2*j**5 + 20*j**4 + 22*j**3 = 0. What is j?
-1, 0, 11
Find w such that -20*w**5 + 495*w**4 + 3085*w**3 + 2100*w**2 - 4460*w - 1200 = 0.
-4, -2, -1/4, 1, 30
Factor g**3/4 - 68*g**2 - 556*g - 1120.
(g - 280)*(g + 4)**2/4
What is o in 2*o**3/5 + 6*o**2 - 192*o/5 + 32 = 0?
-20, 1, 4
Factor -4*l**5 - 633*l**4 - 25122*l**3 - 6241*l**2.
-l**2*(l + 79)**2*(4*l + 1)
What is a in -5*a**4 - 170*a**3 - 600*a**2 = 0?
-30, -4, 0
Factor -p**2/2 - 11*p + 75/2.
-(p - 3)*(p + 25)/2
Factor -5*s**3 + 135*s**2 - 570*s + 440.
-5*(s - 22)*(s - 4)*(s - 1)
Determine b so that -b**4/5 - 2*b**3 - 24*b**2/5 = 0.
-6, -4, 0
Factor c**3 - 55*c**2/3 + 106*c/3 + 32.
(c - 16)*(c - 3)*(3*c + 2)/3
Factor -5*x**3 - 40*x**2 + 220*x - 240.
-5*(x - 2)**2*(x + 12)
Suppose 5*v**4 - 50*v**3 + 80*v**2 = 0. What is v?
0, 2, 8
Solve 2*i**5/5 - 16*i**4/5 + 26*i**3/5 + 52*i**2/5 - 128*i/5 + 64/5 = 0 for i.
-2, 1, 4
Solve 4*i**5/5 - 16*i**4/5 + 4*i**3/5 + 24*i**2/5 = 0.
-1, 0, 2, 3
Suppose -14*m**4 + 86*m**3 - 12*m**2 = 0. What is m?
0, 1/7, 6
What is c in 28*c**3/3 + 188*c**2/3 + 224*c/3 - 80/3 = 0?
-5, -2, 2/7
Factor -y**3 - 2*y**2 + 13*y - 10.
-(y - 2)*(y - 1)*(y + 5)
Find c such that 2*c**5/7 - 67*c**4/7 - 328*c**3/7 - 523*c**2/7 - 340*c/7 - 76/7 = 0.
-2, -1, -1/2, 38
Let -9*l**3 + 25*l**2 + 6*l = 0. Calculate l.
-2/9, 0, 3
Suppose -9*p**4/2 + 111*p**3/2 - 113*p**2 + 82*p - 20 = 0. What is p?
2/3, 1, 10
Determine s, given that 4*s**3 + 96*s**2 + 92*s = 0.
-23, -1, 0
Determine a, given that 5*a**4 + 350*a**3 + 6240*a**2 + 33120*a = 0.
-46, -12, 0
Factor 147*k**4 - 3045*k**3 - 879*k**2 - 63*k.
3*k*(k - 21)*(7*k + 1)**2
Factor 18*o**2 - 194*o - 44.
2*(o - 11)*(9*o + 2)
Let -4*x**5 + 25*x**4 - 2*x**3 - 25*x**2 + 6*x = 0. What is x?
-1, 0, 1/4, 1, 6
Factor -n**3 + 2682*n**2 - 5361*n + 2680.
-(n - 2680)*(n - 1)**2
Determine s, given that s**4/6 + 6*s**3 + 22*s**2 + 64*s/3 = 0.
-32, -2, 0
Factor p**2/10 + 17*p/5 + 32/5.
(p + 2)*(p + 32)/10
Factor -16*q**3 + 228*q**2 - 56*q.
-4*q*(q - 14)*(4*q - 1)
Determine b so that -b**4 + 22*b**3 - 135*b**2 + 234*b = 0.
0, 3, 6, 13
Factor -2*k**3 + 24*k**2 + 182*k - 204.
-2*(k - 17)*(k - 1)*(k + 6)
Factor 2*g**3/15 + 14*g**2/15 - 112*g/15 + 32/5.
2*(g - 4)*(g - 1)*(g + 12)/15
Solve -k**3/5 - 226*k**2/5 + 229*k/5 + 454/5 = 0 for k.
-227, -1, 2
Factor -21*d**4 + 39*d**3 - 15*d**2 - 3*d.
-3*d*(d - 1)**2*(7*d + 1)
Find r such that -2*r**4/5 + 24*r**3/5 - 2*r**2 - 132*r/5 = 0.
-2, 0, 3, 11
Factor -2*o**5/3 + 16*o**4 - 332*o**3/3 + 176*o**2 - 242*o/3.
-2*o*(o - 11)**2*(o - 1)**2/3
Factor -2*l**4 - 9692*l**3 - 29064*l**2 - 29060*l - 9686.
-2*(l + 1)**3*(l + 4843)
What is t in -3*t**3/2 - 30*t**2 = 0?
-20, 0
What is x in 10*x**3 - 156*x**2 + 146*x = 0?
0, 1, 73/5
Factor -75*t**3 - 835*t**2 - 860*t - 100.
-5*(t + 1)*(t + 10)*(15*t + 2)
Suppose 42*n**4 - 248*n**3 + 186*n**2 + 20*n = 0. What is n?
-2/21, 0, 1, 5
Factor 3*c**3 - 9*c**2 - 3*c + 9.
3*(c - 3)*(c - 1)*(c + 1)
Factor 27*b**2 + 453*b - 102.
3*(b + 17)*(9*b - 2)
Factor 22*k**3/3 + 24*k**2 - 598*k/3 - 56.
2*(k - 4)*(k + 7)*(11*k + 3)/3
Determine g so that g**5/4 + 11*g**4 - 93*g**3/2 + 71*g**2 - 191*g/4 + 12 = 0.
-48, 1
Factor 3*g**3 + 4944*g**2 + 2036928*g.
3*g*(g + 824)**2
Find d such that 3*d**2 - 84*d + 441 = 0.
7, 21
Factor -2*z**3 - 81*z**2 - 262*z - 111.
-(z + 3)*(z + 37)*(2*z + 1)
Factor 4*f**4 + 20*f**3 - 68*f**2 - 84*f.
4*f*(f - 3)*(f + 1)*(f + 7)
Suppose 2*g**2 - 12*g - 14 = 0. Calculate g.
-1, 7
Solve j**3 - 23*j**2 + 160*j - 300 = 0 for j.
3, 10
Solve -5*y**4 + 75*y**3 - 395*y**2 + 825*y - 500 = 0.
1, 4, 5
Find f, given that 2*f**3/9 + 2*f**2 - 14*f/3 + 22/9 = 0.
-11, 1
Determine b, given that 2*b**2 + 1248*b - 1250 = 0.
-625, 1
Factor -u**4 - 14*u**3 + 36*u**2 + 56*u - 128.
-(u - 2)**2*(u + 2)*(u + 16)
Solve -3*h**5/5 - 36*h**4/5 - 84*h**3/5 + 162*h**2/5 + 87*h/5 - 126/5 = 0.
-7, -6, -1, 1
Find m, given that -5*m**5 - 20*m**4 + 60*m**3 - 10*m**2 - 55*m + 30 = 0.
-6, -1, 1
Factor -5*y**4 + 65*y**3 + 2640*y**2 - 2700*y.
-5*y*(y - 30)*(y - 1)*(y + 18)
Factor -4*s**2 - 1752*s - 1748.
-4*(s + 1)*(s + 437)
Factor d**2/3 + 16*d/3 - 17/3.
(d - 1)*(d + 17)/3
Factor 2*d**4/5 + 76*d**3 + 17666*d**2/5 - 7296*d + 18432/5.
2*(d - 1)**2*(d + 96)**2/5
Suppose -2*g**4/17 + 2*g**3 - 94*g**2/17 - 298*g/17 - 168/17 = 0. What is g?
-1, 7, 12
Determine b so that -2*b**2/5 - 20*b + 318/5 = 0.
-53, 3
Find n such that 3*n**5 + 729*n**4 + 720*n**3 - 1452*n**2 = 0.
-242, -2, 0, 1
Determine z, given that z**5/5 + 168*z**4/5 + 7221*z**3/5 + 13778*z**2/5 = 0.
-83, -2, 0
Factor 5*u**3/2 - 315*u**2/2 + 5115*u/2 - 4805/2.
5*(u - 31)**2*(u - 1)/2
What is i in i**5 + i**4 - 3*i**3 - 5*i**2 - 2*i = 0?
-1, 0, 2
Let -2*w**2/7 + 40*w/7 - 198/7 = 0. Calculate w.
9, 11
Let 5*y**2 + 275*y + 2070 = 0. Calculate y.
-46, -9
Suppose -2*i**2 + 936*i - 109512 = 0. What is i?
234
Solve -4*l**4/7 - 60*l**3/7 - 268*l**2/7 - 372*l/7 - 160/7 = 0.
-8, -5, -1
Factor -u**3/6 + 37*u**2/2 - 18*u - 110/3.
-(u - 110)*(u - 2)*(u + 1)/6
Factor -2*p**3/3 - 284*p**2 - 30246*p.
-2*p*(p + 213)**2/3
Factor -2*p**3 - 68*p**2 + 144*p.
-2*p*(p - 2)*(p + 36)
Suppose -60*h**3 - 1448*h**2 + 1308*h + 200 = 0. Calculate h.
-25, -2/15, 1
Suppose -49298*m**3/3 - 97340*m**2/3 + 2504*m/3 - 16/3 = 0. Calculate m.
-2, 2/157
Factor -2*o**2/9 - 14*o/9.
-2*o*(o + 7)/9
Suppose 2*o**4/7 + 2414*o**3/7 + 9634*o**2/7 + 12034*o/7 + 4812/7 = 0. Calculate o.
-1203, -2, -1
Factor 2*f**3/13 + 6*f**2 - 930*f/13 + 2450/13.
2*(f - 5)**2*(f + 49)/13
Factor -q**4/6 - 3*q**3/2 + q**2/2 + 25*q/6 - 3.
-(q - 1)**2*(q + 2)*(q + 9)/6
Factor p**2/2 - 39*p + 1521/2.
(p - 39)**2/2
Suppose -c**2/6 + 19*c/2 - 55/3 = 0. What is c?
2, 55
Let -2*z**4/11 - 24*z**3/11 + 98*z**2/11 + 120*z/11 = 0. Calculate z.
-15, -1, 0, 4
Factor 2*n**2 - 12*n + 18.
2*(n - 3)**2
Determine b, given that -2*b**2/5 + 276*b - 47610 = 0.
345
Suppose -3*x**4 + 489*x**3 + 1485*x**2 + 1491*x + 498 = 0. What is x?
-1, 166
Factor 3*u**3/2 + 1265*u**2/2 + 841*u/2 - 421/2.
(u + 1)*(u + 421)*(3*u - 1)/2
Find f such that -4*f**4/3 + 28*f**3 + 92*f**2/3 - 28*f - 88/3 = 0.
-1, 1, 22
Factor -3*c**2/2 + 12*c.
-3*c*(c - 8)/2
Solve -1029*y**5/8 + 441*y**4/8 + 24297*y**3/4 - 41217*y**2/2 + 5445*y + 31944 = 0 for y.
-8, -1, 22/7
Determine h, given that -7*h**2/2 - 10*h - 13/2 = 0.
-13/7, -1
Factor 4*h**3 + 10740*h**2 + 21468*h + 10732.
4*(h + 1)**2*(h + 2683)
Factor h**4/6 - 27*h**3 + 3028*h**2