**2 - 41*i/2 - 1 = 0.
-2, -1/20
Determine o, given that o**2/3 + 8*o/3 = 0.
-8, 0
Factor f**2/3 - 4*f - 28/3.
(f - 14)*(f + 2)/3
Suppose x**3 + 18*x**2 - 93*x - 110 = 0. What is x?
-22, -1, 5
Find i such that -2*i**5/11 - 2*i**4/11 + 6*i**3/11 + 10*i**2/11 + 4*i/11 = 0.
-1, 0, 2
Let 2*z**2/9 - 2132*z/3 - 6398/9 = 0. What is z?
-1, 3199
Factor 7*l**4/2 + 103*l**3/6 + 58*l**2/3 - 2*l.
l*(l + 2)*(l + 3)*(21*l - 2)/6
Let 2*t**4/13 + 44*t**3/13 + 280*t**2/13 + 400*t/13 = 0. What is t?
-10, -2, 0
Suppose 2*w**2/11 - 344*w/11 + 14792/11 = 0. What is w?
86
Factor 3*f**3/2 - 63*f**2 + 123*f/2.
3*f*(f - 41)*(f - 1)/2
Determine d so that -16*d**4/3 + 12*d**3 = 0.
0, 9/4
Factor -5*j**2 - 25*j + 30.
-5*(j - 1)*(j + 6)
Factor x**3 - 211*x**2 + 419*x - 209.
(x - 209)*(x - 1)**2
Factor 2*n**3/11 - 2*n**2 + 36*n/11.
2*n*(n - 9)*(n - 2)/11
Solve 3*f**3/7 + 1080*f**2/7 + 129600*f/7 + 5184000/7 = 0 for f.
-120
Find g such that g**2/4 - 25*g/4 + 23/2 = 0.
2, 23
Factor 3*m**2 + 1750*m + 583.
(m + 583)*(3*m + 1)
Determine g so that -g**2/6 - 37*g/6 = 0.
-37, 0
Factor -36*u**3 - 8076*u**2 - 26620*u - 22100.
-4*(u + 221)*(3*u + 5)**2
What is n in -2*n**3/5 - 16*n**2/5 + 26*n = 0?
-13, 0, 5
Let -4*i**5 + 160*i**4 - 1884*i**3 + 5616*i**2 - 3888*i = 0. What is i?
0, 1, 3, 18
Let 4*q**5/3 - 24*q**4 + 296*q**3/3 - 496*q**2/3 + 124*q - 104/3 = 0. What is q?
1, 2, 13
What is i in 25*i**5/9 + 155*i**4/9 - 386*i**3/9 - 172*i**2/9 + 280*i/9 - 64/9 = 0?
-8, -1, 2/5, 2
Determine m, given that -4*m**3 + 148*m**2 - 408*m = 0.
0, 3, 34
Let 5*a**2 + 155*a - 160 = 0. Calculate a.
-32, 1
Determine l, given that -2*l**4/13 - 6*l**3/13 - 2*l**2/13 + 6*l/13 + 4/13 = 0.
-2, -1, 1
Factor -y**2/2 + 257*y/2.
-y*(y - 257)/2
Factor -2*i**3/9 + 10*i**2/9 + 16*i/9 - 8/3.
-2*(i - 6)*(i - 1)*(i + 2)/9
Factor i**5/4 + i**4/2 - 11*i**3/4 - 3*i**2 + 9*i.
i*(i - 2)**2*(i + 3)**2/4
Factor 3*f**2 - 3*f - 18.
3*(f - 3)*(f + 2)
Let -p**5 - 197*p**4 = 0. What is p?
-197, 0
Determine n so that 2*n**3 + 48*n**2 + 150*n - 200 = 0.
-20, -5, 1
What is f in -3*f**2/5 + 240*f = 0?
0, 400
Determine v so that 2*v**2 + 532*v + 35378 = 0.
-133
Determine o so that -o**3 + 144*o**2 = 0.
0, 144
Find f such that -2*f**5/3 + 20*f**4/3 - 12*f**3 - 48*f**2 + 162*f - 108 = 0.
-3, 1, 3, 6
Factor -z**4/5 + 8*z**2/5 - 16/5.
-(z - 2)**2*(z + 2)**2/5
Factor -2*t**2/15 + 44*t/15 - 34/3.
-2*(t - 17)*(t - 5)/15
Determine w so that 4*w**2/5 + 176*w + 9680 = 0.
-110
Determine v, given that -25*v**5/3 + 280*v**4/3 + 87*v**3 - 232*v**2/3 - 236*v/3 - 16 = 0.
-1, -2/5, 1, 12
Let 9*w**5 + 222*w**4 - 333*w**3 - 534*w**2 + 324*w + 312 = 0. Calculate w.
-26, -1, -2/3, 1, 2
Solve -2*g**2/7 + 46*g/7 + 100/7 = 0.
-2, 25
Factor j**2/3 - 35*j/3 + 34/3.
(j - 34)*(j - 1)/3
Factor 2*s**3/11 - 1316*s**2/11 + 216482*s/11.
2*s*(s - 329)**2/11
Find s such that -21*s**5/5 - 36*s**4/5 - 9*s**3/5 + 6*s**2/5 = 0.
-1, 0, 2/7
Let -t**5 + 29*t**4/4 - 67*t**3/4 + 67*t**2/4 - 29*t/4 + 1 = 0. What is t?
1/4, 1, 4
Solve 2*s**5 - 48*s**4 + 362*s**3 - 1092*s**2 + 1400*s - 624 = 0 for s.
1, 2, 6, 13
Factor -f**2/5 - 41*f/5 - 8.
-(f + 1)*(f + 40)/5
Solve -2*d**2 - 36*d + 126 = 0 for d.
-21, 3
Solve -2*a**5/7 - 8*a**4/7 + 104*a**3/7 + 116*a**2/7 - 102*a/7 - 108/7 = 0.
-9, -1, 1, 6
Factor 3*l**2 - 54*l - 957.
3*(l - 29)*(l + 11)
Factor -2*o**2/7 + 216*o/7.
-2*o*(o - 108)/7
Let 3*o**2 - 258*o - 261 = 0. What is o?
-1, 87
Let p**3/9 - 274*p**2 + 225228*p - 61712472 = 0. What is p?
822
Factor -60*k**2 - 76*k - 16.
-4*(k + 1)*(15*k + 4)
Determine n so that 3*n**2 - 192*n = 0.
0, 64
Find n, given that 4*n**4 - 40*n**3 + 128*n**2 - 152*n + 60 = 0.
1, 3, 5
Factor h**2 + 272*h + 540.
(h + 2)*(h + 270)
Factor -y**2 + y + 2.
-(y - 2)*(y + 1)
What is u in 3*u**2/4 - 30*u + 192 = 0?
8, 32
Solve -4*g**4 - 4*g**3 + 12*g**2 + 4*g - 8 = 0 for g.
-2, -1, 1
Factor 25*f**2 - 55*f + 30.
5*(f - 1)*(5*f - 6)
Solve b**5/5 + 8*b**4/5 + 23*b**3/5 + 28*b**2/5 + 12*b/5 = 0.
-3, -2, -1, 0
Let 12*h**3 + 14*h**2 - 22*h - 4 = 0. What is h?
-2, -1/6, 1
Factor 4*x**5 + 12*x**4 - 24*x**3 - 32*x**2.
4*x**2*(x - 2)*(x + 1)*(x + 4)
Factor -3*w**4/2 + 24387*w**3 - 198193143*w**2/2 - 198266310*w - 99145350.
-3*(w - 8130)**2*(w + 1)**2/2
What is v in 2*v**3/3 - 156*v**2 - 314*v - 472/3 = 0?
-1, 236
Solve -2*b**4/13 + 14*b**3/13 - 36*b**2/13 + 40*b/13 - 16/13 = 0 for b.
1, 2
Factor 4*w**2 - 72*w + 224.
4*(w - 14)*(w - 4)
Factor -3*p**4/5 - 27*p**3 + 282*p**2/5.
-3*p**2*(p - 2)*(p + 47)/5
Let 2*a**5/19 - 16*a**4/19 + 32*a**3/19 - 4*a**2/19 - 34*a/19 + 20/19 = 0. What is a?
-1, 1, 2, 5
Find f, given that 2*f**4 - 4*f**3 = 0.
0, 2
Let -5*s**3 - 240*s**2 - 2625*s - 8330 = 0. Calculate s.
-34, -7
Solve -4*q**5/7 + 44*q**4/7 - 148*q**3/7 + 116*q**2/7 + 152*q/7 - 160/7 = 0.
-1, 1, 2, 4, 5
Factor 2*c**4 + 78*c**3 + 990*c**2 + 4114*c.
2*c*(c + 11)**2*(c + 17)
Determine z so that -z**4/4 + 660*z**3 - 3957*z**2/2 + 1978*z - 2637/4 = 0.
1, 2637
Factor 5*v**4 + 40*v**3 + 65*v**2 + 30*v.
5*v*(v + 1)**2*(v + 6)
Solve -25*s**5/7 + 15*s**4 + 246*s**3/7 + 20*s**2 + 24*s/7 = 0 for s.
-1, -2/5, 0, 6
Suppose -a**2 + 300*a - 22500 = 0. What is a?
150
Factor 8*z**2/5 - 996*z/5 + 1476/5.
4*(z - 123)*(2*z - 3)/5
Factor -a**4 + 134*a**3 - 5940*a**2 + 85050*a + 91125.
-(a - 45)**3*(a + 1)
Factor -n**4/4 - 3*n**3 + 59*n**2/4 - 39*n/2 + 8.
-(n - 2)*(n - 1)**2*(n + 16)/4
Factor i**3/4 - 31*i**2/4 - 65*i/4 - 33/4.
(i - 33)*(i + 1)**2/4
Let -4*r**2 + 7728*r + 7732 = 0. Calculate r.
-1, 1933
Determine g so that 5*g**3 - 205*g**2 - 1385*g - 1175 = 0.
-5, -1, 47
Find m such that 2*m**3/19 + 2046*m**2/19 + 697686*m/19 + 79303642/19 = 0.
-341
Factor -d**3/6 - 134*d**2/3 - 18733*d/6 - 17161.
-(d + 6)*(d + 131)**2/6
Factor -28*t**2 - 124*t - 48.
-4*(t + 4)*(7*t + 3)
Let -4*f**2 + 140*f + 144 = 0. What is f?
-1, 36
Factor -l**2/7 - 519*l/7 + 520/7.
-(l - 1)*(l + 520)/7
Determine n so that 2*n**3 + 1416*n**2 + 1414*n = 0.
-707, -1, 0
Solve 6*i**4/17 - 50*i**3/17 + 112*i**2/17 - 32*i/17 = 0 for i.
0, 1/3, 4
Factor -3*j**4/4 + 21*j**3/2 - 171*j**2/4 + 54*j.
-3*j*(j - 8)*(j - 3)**2/4
Solve 27*z**4 + 9576*z**3 + 6375*z**2 + 1062*z = 0 for z.
-354, -1/3, 0
Factor -4*s**3 - 124*s**2 + 128*s.
-4*s*(s - 1)*(s + 32)
Find b such that -3*b**5 - 3000*b**4 - 1003980*b**3 - 113763120*b**2 - 443100480*b - 439132416 = 0.
-332, -2
Determine f, given that 4*f**2 - 23536*f + 34621456 = 0.
2942
Factor -3*z**4/4 + 9*z**3 + 39*z**2/4.
-3*z**2*(z - 13)*(z + 1)/4
Factor -2*c**2/3 - 272*c/3 - 9248/3.
-2*(c + 68)**2/3
What is u in -4*u**4 + 204*u**3 - 552*u**2 - 1184*u + 1536 = 0?
-2, 1, 4, 48
Find q such that -4*q**3 + 352*q**2 - 1676*q + 1328 = 0.
1, 4, 83
Find p, given that -36*p**3 + 9924*p**2 - 6604*p + 1100 = 0.
1/3, 275
What is n in 4*n**4 - 40*n**3 + 32*n**2 + 40*n - 36 = 0?
-1, 1, 9
Factor -2*v**2/19 - 214*v/19 - 212/19.
-2*(v + 1)*(v + 106)/19
Determine x so that -3*x**3/2 + 135*x**2/2 + 369*x + 300 = 0.
-4, -1, 50
Find x, given that 3*x**4 - 33*x**3 + 99*x**2 - 111*x + 42 = 0.
1, 2, 7
Let -3*z**5 - 54*z**4 + 249*z**3 - 324*z**2 + 132*z = 0. What is z?
-22, 0, 1, 2
Suppose 9*f**3/2 - 5*f**2 - 8*f = 0. What is f?
-8/9, 0, 2
Factor -o**4/9 + 28*o**3/3 - 82*o**2/9 - 28*o/3 + 83/9.
-(o - 83)*(o - 1)**2*(o + 1)/9
What is k in 5*k**2 + 2370*k + 280845 = 0?
-237
Suppose -p**4 - 17*p**3 - 45*p**2 - 43*p - 14 = 0. What is p?
-14, -1
Factor -20*u**2 - 436*u + 88.
-4*(u + 22)*(5*u - 1)
Factor 4*r**3/3 - 68*r**2/3 + 56*r.
4*r*(r - 14)*(r - 3)/3
Find x, given that 2*x**3/5 - 2*x**2/5 - 4*x/5 = 0.
-1, 0, 2
Solve -n**4 - 345*n**3 - 29228*n**2 + 92220*n + 121104 = 0 for n.
-174, -1, 4
Factor 5*t**5 + 105*t**4 + 855*t**3 + 3375*t**2 + 6480*t + 4860.
5*(t + 3)**3*(t + 6)**2
Find a, given that 4*a**5 - 220*a**4 + 1028*a**3 - 1412*a**2 + 600*a = 0.
0, 1, 3, 50
Factor -3*v**4/4 + 21*v**3/4 + 15*v**2/2 - 12*v.
-3*v*(v - 8)*(v - 1)*(v + 2)/4
Solve -2*a**3/7 + 174*a**2/7 - 664*a/7 = 0 for a.
0, 4, 83
Factor 4*l**2 - 992*l + 61504.
4*(l - 124)**2
Let 3*x**2 + 1038*x + 89787 = 0. What is x?
-173
Let 3*u**4 - 59*u**3 - 149*u**2 - 109*u - 22 = 0. What is u?
-1, -1/3, 22
Factor 15*b**3 - 31*b**2/5 - 48*b/5 + 4/5.
(b - 1)*(3*b + 2)*(25*b - 2)/5
Suppose 4*y**4 - 40*y**3 + 116*y**2 - 80*y = 0. What is y?
0, 1, 4, 5
What is g in 5*g**3 - 130*g**2 + 845*g = 0?
0, 13
Solve 5*o**5 + 5*o**4 - 5*o**3