m**2 = 0.
-2, 0, 2
Factor 5*h**5/4 + 5*h**4/2 + 5*h**3/4.
5*h**3*(h + 1)**2/4
Determine s so that -3*s**3/4 - 21*s**2 + 45*s = 0.
-30, 0, 2
Solve 3*b**4/5 - 441*b**3/5 + 2154*b**2/5 - 684*b + 1704/5 = 0.
1, 2, 142
Let 162*z**4 - 576*z**3 - 5464*z**2 - 2336*z - 256 = 0. What is z?
-4, -2/9, 8
Let -n**3/4 - 37*n**2/4 + 11*n + 57 = 0. What is n?
-38, -2, 3
Suppose -5*u**2 - 140*u - 260 = 0. What is u?
-26, -2
Let -d**5/5 + d**4 + 16*d**3/5 - 68*d**2/5 + 48*d/5 = 0. What is d?
-4, 0, 1, 2, 6
Factor -124*l**3 + 264*l**2 - 156*l + 16.
-4*(l - 1)**2*(31*l - 4)
Suppose -3*m**4/4 + 9*m**3/2 + 9*m**2 - 105*m/2 - 225/4 = 0. Calculate m.
-3, -1, 5
Let -3*f**2 + 3*f + 6 = 0. What is f?
-1, 2
Suppose t**2 + 1168*t + 341056 = 0. Calculate t.
-584
Factor 2*j**2 + 524*j - 1590.
2*(j - 3)*(j + 265)
Let t**5 + 68*t**4 - 356*t**3 + 650*t**2 - 509*t + 146 = 0. Calculate t.
-73, 1, 2
Determine r, given that -r**4/3 - 2*r**3 + 8*r**2 - 26*r/3 + 3 = 0.
-9, 1
Factor c**4/5 + 59*c**3/5 + 993*c**2/5 + 3321*c/5 - 4374/5.
(c - 1)*(c + 6)*(c + 27)**2/5
Factor -5*p**2 + 1450*p - 105125.
-5*(p - 145)**2
Factor -13*x**3 - 49*x**2/5 - 6*x/5.
-x*(5*x + 3)*(13*x + 2)/5
Find y, given that -3*y**4 - 375*y**3 + 3*y**2 + 375*y = 0.
-125, -1, 0, 1
Factor p**4/3 - 5*p**3/3 - 76*p**2/3 - 112*p/3 + 64.
(p - 12)*(p - 1)*(p + 4)**2/3
Determine q so that -125*q**2 - 100*q - 20 = 0.
-2/5
What is m in 2*m**5/15 + 50*m**4/3 + 8174*m**3/15 + 7442*m**2/5 = 0?
-61, -3, 0
Factor -5*z**2 - 55*z + 60.
-5*(z - 1)*(z + 12)
Factor 4*y**2 + 56*y - 1404.
4*(y - 13)*(y + 27)
Factor 3*s**4 - 114*s**3 + 1005*s**2 + 1122*s.
3*s*(s - 22)*(s - 17)*(s + 1)
Let 5*c**3 + 185*c**2 + 895*c - 1085 = 0. Calculate c.
-31, -7, 1
Factor -3*l**2/7 - 45*l/7 - 132/7.
-3*(l + 4)*(l + 11)/7
Determine h so that 3*h**2/4 + 183*h + 11163 = 0.
-122
Suppose -h**3 + 72*h**2 = 0. What is h?
0, 72
Factor -4*o**4 - 28*o**3 - 52*o**2 + 12*o + 72.
-4*(o - 1)*(o + 2)*(o + 3)**2
Determine b so that 2*b**5/3 + 10*b**4 - 230*b**3/3 + 150*b**2 - 84*b = 0.
-21, 0, 1, 2, 3
Factor -3*l**2 + 32*l - 20.
-(l - 10)*(3*l - 2)
Factor -2*q**3 + 2*q.
-2*q*(q - 1)*(q + 1)
Factor -25*a**3 - 120*a**2 + 315*a - 170.
-5*(a - 1)**2*(5*a + 34)
Factor 3*l**4/4 + 287*l**3/4 - 24*l**2.
l**2*(l + 96)*(3*l - 1)/4
Factor x**3 - 227*x**2/3 + 464*x - 276.
(x - 69)*(x - 6)*(3*x - 2)/3
Factor -5*j**2 - 35*j.
-5*j*(j + 7)
What is f in 70*f**3/9 + 1124*f**2/9 + 1114*f/9 + 20/3 = 0?
-15, -1, -2/35
Find f, given that -f**5/2 - f**4 + f**3/2 + f**2 = 0.
-2, -1, 0, 1
Solve n**5 - 89*n**4 + 1840*n**3 + 6344*n**2 + 368*n - 8464 = 0 for n.
-2, 1, 46
What is g in -4*g**4/9 + 224*g**3/9 - 3352*g**2/9 + 672*g - 324 = 0?
1, 27
Suppose 4*p**3 - 288*p**2 + 1104*p - 1088 = 0. Calculate p.
2, 68
Determine y so that -y**2/9 + 22*y/3 = 0.
0, 66
Determine j so that -4*j**2 + 44*j - 72 = 0.
2, 9
Factor o**2/2 - 85*o + 7225/2.
(o - 85)**2/2
Factor 16*f**5/3 - 50*f**4/3 + 18*f**3 - 22*f**2/3 + 2*f/3.
2*f*(f - 1)**3*(8*f - 1)/3
Let 2*t**5 - 43*t**4 + 314*t**3 - 812*t**2 + 196*t + 343 = 0. What is t?
-1/2, 1, 7
What is a in a**3 - 111*a**2 + 3024*a + 3136 = 0?
-1, 56
Factor 3*m**2 + 375*m + 372.
3*(m + 1)*(m + 124)
Find l, given that 3*l**2 + 198*l - 408 = 0.
-68, 2
Factor -2*u**2 + 576*u - 41472.
-2*(u - 144)**2
Factor 4*h**2/5 - 1984*h/5 + 246016/5.
4*(h - 248)**2/5
Determine w so that 2*w**3/5 - 476*w**2/5 - 478*w/5 = 0.
-1, 0, 239
Solve -4*f**4/5 + 4646*f**3/5 - 359910*f**2 + 232741026*f/5 - 115921206/5 = 0.
1/2, 387
Solve 3*p**4/5 + 54*p**3/5 + 183*p**2/5 - 108*p + 60 = 0.
-10, 1
Factor 2*x**2/11 + 10*x/11 + 8/11.
2*(x + 1)*(x + 4)/11
Factor -m**3/4 - 2*m**2 - 11*m/4 + 5.
-(m - 1)*(m + 4)*(m + 5)/4
Factor -2*s**2 - 208*s - 408.
-2*(s + 2)*(s + 102)
What is j in j**2/5 + 51*j/5 + 54 = 0?
-45, -6
Let -4*b**2/7 + 8*b/7 - 4/7 = 0. What is b?
1
Factor 3*r**3/4 + 120*r**2 + 4800*r.
3*r*(r + 80)**2/4
Factor 2*k**3/3 - 23764*k**2/3 + 70590962*k/3.
2*k*(k - 5941)**2/3
Factor -4*j**4/7 + 116*j**3/7 + 248*j**2/7.
-4*j**2*(j - 31)*(j + 2)/7
Let 3*v**3 + 42*v**2 + 39*v = 0. Calculate v.
-13, -1, 0
Find n such that 15*n**5 - 33*n**4 - 9*n**3 + 33*n**2 - 6*n = 0.
-1, 0, 1/5, 1, 2
Suppose -6*b**4 + 27*b**3 + 369*b**2 + 633*b + 297 = 0. What is b?
-9/2, -1, 11
Factor -2*m**2/7 - 44*m/7 - 234/7.
-2*(m + 9)*(m + 13)/7
Let -2*f**5/21 + 82*f**3/21 - 104*f**2/7 + 424*f/21 - 64/7 = 0. Calculate f.
-8, 1, 2, 3
What is n in 65*n**4 + 90*n**3 + 25*n**2 = 0?
-1, -5/13, 0
Find l such that -5*l**2 - 5705*l = 0.
-1141, 0
Factor s**4/5 + 6*s**3/5 + 9*s**2/5 + 4*s/5.
s*(s + 1)**2*(s + 4)/5
Suppose 14*x**2/5 + 898*x/5 + 128/5 = 0. Calculate x.
-64, -1/7
What is x in x**3/6 + 23*x**2/6 + 28*x + 66 = 0?
-11, -6
What is n in -4*n**2/9 - 7264*n/9 = 0?
-1816, 0
Solve 3*b**4 + 66*b**3 + 291*b**2 - 792*b + 432 = 0 for b.
-12, 1
Factor -g**5/4 - 9*g**4/2 - 27*g**3 - 135*g**2/2 - 243*g/4.
-g*(g + 3)**3*(g + 9)/4
Solve -9*p**3/2 + 197*p**2/4 - 421*p/4 - 6 = 0.
-1/18, 3, 8
Let 3*g**2 - 3111*g + 3108 = 0. What is g?
1, 1036
Find j such that -25*j**5/2 - 65*j**4/3 + 385*j**3/6 + 160*j**2/3 + 10*j = 0.
-3, -2/5, -1/3, 0, 2
Find x, given that x**3 + 168*x**2 + 7056*x = 0.
-84, 0
Suppose -2*b**5 + 44*b**4 + 550*b**3 - 10800*b**2 - 36000*b = 0. What is b?
-15, -3, 0, 20
Solve -w**3/6 + 3*w**2 + 44*w/3 = 0.
-4, 0, 22
Find r such that 2*r**2/23 - 32*r/23 + 128/23 = 0.
8
Let -5*v**3/7 - 89*v**2 - 370*v/7 + 248/7 = 0. Calculate v.
-124, -1, 2/5
Determine p, given that -4*p**4 - 1000*p**3/3 - 21488*p**2/3 - 27224*p/3 - 6724/3 = 0.
-41, -1, -1/3
Suppose -y**2 - 212*y - 11236 = 0. What is y?
-106
Factor -4*y**2 + 352*y - 7744.
-4*(y - 44)**2
Suppose -49*m**5 - 476*m**4 - 1716*m**3 - 2720*m**2 - 1600*m = 0. Calculate m.
-20/7, -2, 0
Factor -i**2/4 - 39*i/4 + 41/2.
-(i - 2)*(i + 41)/4
Factor -3*v**5 + 261*v**4 + 2232*v**3 + 4560*v**2.
-3*v**2*(v - 95)*(v + 4)**2
Factor 5*x**3/4 - 5*x**2/2 - 105*x + 450.
5*(x - 6)**2*(x + 10)/4
Let 10*f**2 + 57845*f + 28920 = 0. Calculate f.
-5784, -1/2
Find m, given that -4*m**3/3 + 28*m**2/3 - 44*m/3 + 20/3 = 0.
1, 5
Let -f**5/5 - 17*f**4/5 - 103*f**3/5 - 267*f**2/5 - 288*f/5 - 108/5 = 0. Calculate f.
-6, -3, -1
Let -21*m**5 + 36*m**4 + 33*m**3 - 36*m**2 - 12*m = 0. What is m?
-1, -2/7, 0, 1, 2
Factor 3*c**4/7 - 51*c**3/7 - 54*c**2/7.
3*c**2*(c - 18)*(c + 1)/7
Factor 2*m**2 - 386*m + 384.
2*(m - 192)*(m - 1)
Suppose 4*v**2 + 40*v - 96 = 0. What is v?
-12, 2
Find s such that -s**2/9 - 10*s/3 - 125/9 = 0.
-25, -5
Determine h so that -5*h**2 + 5*h + 450 = 0.
-9, 10
Solve h**3/5 - 7*h**2/5 + 3*h - 9/5 = 0.
1, 3
Factor 5*h**3 - 2800*h**2 + 389185*h + 789610.
5*(h - 281)**2*(h + 2)
What is z in 4*z**3/5 - 4*z**2/5 - 16*z = 0?
-4, 0, 5
Factor b**3/5 + 7*b**2/5.
b**2*(b + 7)/5
Determine s, given that 2*s**5/9 - 18*s**4 + 1120*s**3/3 - 3200*s**2/9 = 0.
0, 1, 40
Factor -2*c**2 - 60*c - 450.
-2*(c + 15)**2
Factor 2*y**2 + 556*y + 554.
2*(y + 1)*(y + 277)
Solve -12*l**5 - 34*l**4 - 18*l**3 + 4*l**2 = 0.
-2, -1, 0, 1/6
What is p in -5*p**2 - 690*p - 23805 = 0?
-69
Find w such that -8*w**5/7 - 166*w**4/7 - 1030*w**3/7 - 1364*w**2/7 + 3288*w/7 - 720/7 = 0.
-10, -6, 1/4, 1
Factor 21*f**2 + 333*f - 48.
3*(f + 16)*(7*f - 1)
Factor -2*w**4/5 + 86*w**3/5 + 5382*w**2/5 + 78754*w/5 + 360308/5.
-2*(w - 82)*(w + 13)**3/5
Factor -28*x**3/9 - 148*x**2/9 - 208*x/9 - 16/3.
-4*(x + 2)*(x + 3)*(7*x + 2)/9
Factor 2*o**5 - 8*o**3 + 4*o**2 + 6*o - 4.
2*(o - 1)**3*(o + 1)*(o + 2)
Factor 4*h**2 + 1544*h + 1540.
4*(h + 1)*(h + 385)
Determine c so that -2*c**3/3 - 2164*c**2/3 - 195840*c - 388800 = 0.
-540, -2
Solve -6*o**3 - 158*o**2 - 52*o = 0.
-26, -1/3, 0
Factor -2*l**2/5 + 308*l/5 - 11858/5.
-2*(l - 77)**2/5
Factor 2*w**4/3 - 1394*w**3/3 + 107172*w**2 - 7994376*w - 42709680.
2*(w - 234)**3*(w + 5)/3
Factor 27*y**2/5 + 42*y - 48/5.
3*(y + 8)*(9*y - 2)/5
Factor -2*l**3/17 - 150*l**2/17 - 294*l/17 - 146/17.
-2*(l + 1)**2*(l + 73)/17
Determine y so that y**3/2 - 195*y**2/2 - 2*y + 390 = 0.
-2, 2, 195
Factor 3*w**2 - 120*w - 252.
3*(w - 42)*(w + 2)
Factor -y**3 + 1285*y**2 + 2573*y + 1287.
-(y - 1287)*(y + 1)**2
Factor 4*j**3 + 356*j**2 - 6184*j + 5824.
4*(j - 14)*(j - 1)*(j + 104)
Solve 13778*z**2/19 - 996*z/19 + 18/19 = 0.
3/83
Factor -p**4/8 - 7*p**3/8 + 3*p**2/2 + 22*p + 40.
-(p - 5)*(p + 4)**3/8
Determine f so that -f**2/3 + 484/3 = 0.
-