 0. Calculate k.
-43, -1, -4/7
Factor q**5/8 + 11*q**4/8 - 39*q**3/8 + 41*q**2/8 - 7*q/4.
q*(q - 1)**3*(q + 14)/8
Suppose 12*m**2 + 51303*m + 12825 = 0. What is m?
-4275, -1/4
Factor -w**3/5 + 34*w**2/5 + 111*w/5.
-w*(w - 37)*(w + 3)/5
Let -2*g**4/5 - 86*g**3/5 + 688*g**2/5 - 120*g = 0. Calculate g.
-50, 0, 1, 6
Factor -154*v**2 + 2*v + 12.
-2*(7*v - 2)*(11*v + 3)
Let -b**3/7 - 2*b**2 - 29*b/7 + 44/7 = 0. Calculate b.
-11, -4, 1
Factor 2*y**2 + 248*y + 7688.
2*(y + 62)**2
Factor 4*m**4 - 2840*m**3 + 11316*m**2 - 14128*m + 5648.
4*(m - 706)*(m - 2)*(m - 1)**2
Determine s, given that s**5 - 11*s**4/3 - 37*s**3/3 + 79*s**2/3 + 10*s = 0.
-3, -1/3, 0, 2, 5
Find f, given that 4*f**4 - 7*f**3 - 12*f**2 + 13*f + 14 = 0.
-1, 7/4, 2
What is m in 32*m**5/21 + 48*m**4/7 - 94*m**3/21 - 24*m**2/7 - 10*m/21 = 0?
-5, -1/4, 0, 1
Let -3*x**4 - 165*x**3 - 2349*x**2 - 2187*x = 0. Calculate x.
-27, -1, 0
Suppose 2*g**3/15 - 22*g**2/5 + 234*g/5 - 2366/15 = 0. Calculate g.
7, 13
What is j in 2*j**3 + 34*j**2 + 32*j = 0?
-16, -1, 0
Determine j, given that -3*j**3 + 36*j**2 + 180*j + 192 = 0.
-2, 16
Determine r so that 121*r**3/4 + 11*r**2 + r = 0.
-2/11, 0
Let 4*f**5 - 44*f**4 + 72*f**3 + 8*f**2 - 76*f + 36 = 0. Calculate f.
-1, 1, 9
Factor -2*g**3/9 + 94*g**2/9 - 352*g/3 - 128.
-2*(g - 24)**2*(g + 1)/9
Factor -2*o**2/5 + 64*o/5 + 546/5.
-2*(o - 39)*(o + 7)/5
Solve 24*n**2 - 93*n - 117 = 0.
-1, 39/8
Determine h, given that -3*h**3 - 828*h**2 - 58752*h - 221952 = 0.
-136, -4
Factor -2*w**3 - 858*w**2 - 122694*w - 5848414.
-2*(w + 143)**3
What is j in 48*j**4 + 264*j**3 + 507*j**2 + 396*j + 108 = 0?
-2, -3/4
Factor -125*p**5 - 600*p**4 - 720*p**3.
-5*p**3*(5*p + 12)**2
Factor -2*q**2/17 - 64*q/17 - 504/17.
-2*(q + 14)*(q + 18)/17
Factor 5*y**4 - 2930*y**3 + 423340*y**2 + 1731650*y + 1305375.
5*(y - 295)**2*(y + 1)*(y + 3)
Factor -5*p**2 + 4120*p - 848720.
-5*(p - 412)**2
What is n in -5*n**3 - 25*n**2 - 35*n - 15 = 0?
-3, -1
Factor -39*x**3/5 - 246*x**2/5 - 423*x/5 - 108/5.
-3*(x + 3)**2*(13*x + 4)/5
Suppose 15*i**5 + 80*i**4 + 55*i**3 - 290*i**2 - 460*i - 120 = 0. Calculate i.
-3, -2, -1/3, 2
Suppose 3*f**5 + 108*f**4 + 855*f**3 - 2166*f**2 = 0. Calculate f.
-19, 0, 2
Factor -2*y**2/3 + 38*y/3 + 144.
-2*(y - 27)*(y + 8)/3
Factor a**4/7 + 131*a**3/7 + 4204*a**2/7 - 6996*a/7 - 87120/7.
(a - 5)*(a + 4)*(a + 66)**2/7
Factor 2*t**2/7 + 4*t + 80/7.
2*(t + 4)*(t + 10)/7
Find i such that -5*i**3 - 535*i**2 - 14915*i - 124545 = 0.
-69, -19
Determine z, given that 5*z**3 + 70*z**2 - 155*z + 80 = 0.
-16, 1
Determine q, given that -q**3/5 + 128*q**2/5 + 131*q/5 - 258/5 = 0.
-2, 1, 129
Factor 2*b**3/5 + 42*b**2/5 - 48*b/5 - 88/5.
2*(b - 2)*(b + 1)*(b + 22)/5
Factor 6*g**2/7 + 2*g/7.
2*g*(3*g + 1)/7
Let 3*c**2/4 - 189*c/4 - 486 = 0. What is c?
-9, 72
Factor n**2/6 - 107*n/3 + 1045/6.
(n - 209)*(n - 5)/6
Factor -v**3 - 89*v**2 + v + 89.
-(v - 1)*(v + 1)*(v + 89)
Determine r, given that -5*r**4 - 40*r**3 - 35*r**2 = 0.
-7, -1, 0
Factor -7*s**4 - 37*s**3 - 52*s**2 - 12*s.
-s*(s + 2)*(s + 3)*(7*s + 2)
Factor -5*s**3 + 750*s**2 + 755*s.
-5*s*(s - 151)*(s + 1)
Solve 3*u**4/7 - 69*u**3/7 - 225*u**2/7 - 33*u - 78/7 = 0 for u.
-1, 26
Determine i so that 6*i**5 - 150*i**4/7 + 54*i**3/7 + 222*i**2/7 - 96*i/7 - 72/7 = 0.
-1, -3/7, 1, 2
Factor -2*d**2/13 - 10*d/13 - 12/13.
-2*(d + 2)*(d + 3)/13
Let -5*u**4 + 505*u**3 - 11970*u**2 - 39520*u - 27040 = 0. Calculate u.
-2, -1, 52
Find w, given that -3*w**2 + 102*w - 867 = 0.
17
Determine h, given that -5*h**2 - 330*h - 325 = 0.
-65, -1
Solve 7*l**3/2 + 41*l**2/2 + 29*l/2 - 5/2 = 0.
-5, -1, 1/7
Factor -40*j**3 - 164*j**2 - 176*j - 16.
-4*(j + 2)**2*(10*j + 1)
Determine c, given that -5*c**2 - 55*c + 900 = 0.
-20, 9
Suppose -245*i**4 - 1680*i**3 - 2685*i**2 + 490*i + 120 = 0. What is i?
-4, -3, -1/7, 2/7
Determine q, given that 3*q**3 - 33*q**2 - 3*q + 33 = 0.
-1, 1, 11
Factor 22*l**3/5 - 7014*l**2/5 - 1276*l/5.
2*l*(l - 319)*(11*l + 2)/5
Determine o so that -o**5 - 2*o**4 + 4*o**3 + 8*o**2 = 0.
-2, 0, 2
Factor -3*s**4 + 3*s**3 + 18*s**2.
-3*s**2*(s - 3)*(s + 2)
Let -4*f**2/5 + 80*f + 404/5 = 0. Calculate f.
-1, 101
Suppose a**4/4 + 9*a**3/4 - 5*a**2/2 = 0. Calculate a.
-10, 0, 1
Find y such that y**5/6 - 5*y**4/6 - 25*y**3 = 0.
-10, 0, 15
Factor 6*o**5/11 - 30*o**4/11 + 54*o**3/11 - 42*o**2/11 + 12*o/11.
6*o*(o - 2)*(o - 1)**3/11
Solve -2*q**2/21 + 244*q/21 = 0 for q.
0, 122
Factor -4*q**2 + 464*q - 2220.
-4*(q - 111)*(q - 5)
Let 3*w**3 - 6*w**2 - 123*w + 126 = 0. What is w?
-6, 1, 7
Let 5*s**3 + 1050*s**2 + 55125*s = 0. What is s?
-105, 0
Factor -z**4 + 87*z**3 - 747*z**2 - 1759*z - 924.
-(z - 77)*(z - 12)*(z + 1)**2
Suppose -4*z**3/7 + 144*z/7 = 0. What is z?
-6, 0, 6
Factor -a**2 - 4184*a - 4376464.
-(a + 2092)**2
Factor i**5/4 - 7*i**4/4 + 9*i**3/2 - 11*i**2/2 + 13*i/4 - 3/4.
(i - 3)*(i - 1)**4/4
Factor -3*o**4 - 159*o**3 - 744*o**2 - 1164*o - 576.
-3*(o + 1)*(o + 2)**2*(o + 48)
Let -d**3/3 + 2*d**2/3 + 4*d/3 - 8/3 = 0. What is d?
-2, 2
Factor 3*v**3 - 99*v**2 - 2307*v - 2205.
3*(v - 49)*(v + 1)*(v + 15)
Find w, given that 2*w**4/5 - 292*w**3 + 53290*w**2 = 0.
0, 365
Suppose 2*m**4/15 + 10*m**3/3 - 106*m**2/15 + 18*m/5 = 0. What is m?
-27, 0, 1
Determine o so that 2*o**2/11 + 31940*o/11 + 127520450/11 = 0.
-7985
What is y in -y**2 + 132*y = 0?
0, 132
Factor 2*d**4/3 - 26*d**3 - 82*d**2 - 250*d/3 - 28.
2*(d - 42)*(d + 1)**3/3
Solve 4*v**2 - 968*v + 58564 = 0 for v.
121
Factor 2*z**4 + 32*z**3 + 180*z**2 + 400*z + 250.
2*(z + 1)*(z + 5)**3
Solve -5*f**5 + 10*f**4 + 20*f**3 - 10*f**2 - 15*f = 0.
-1, 0, 1, 3
Factor -c**2/9 + 25*c/9 - 46/9.
-(c - 23)*(c - 2)/9
Let -5*g**5 + 55*g**3 + 90*g**2 + 40*g = 0. Calculate g.
-2, -1, 0, 4
Find z, given that -4*z**4 + 87*z**3/11 + 46*z**2/11 - 87*z/11 - 2/11 = 0.
-1, -1/44, 1, 2
Factor 3*o**4 + 27*o**3 + 27*o**2 - 255*o - 450.
3*(o - 3)*(o + 2)*(o + 5)**2
Factor -3*q**4 - 219*q**3 + 678*q**2 - 456*q.
-3*q*(q - 2)*(q - 1)*(q + 76)
Solve p**2 - 10*p = 0.
0, 10
Let 5*l**3 - 2*l**2 - 20*l + 8 = 0. What is l?
-2, 2/5, 2
Factor k**2 - 43*k - 44.
(k - 44)*(k + 1)
Factor -5*d**3 + 60*d**2 + 495*d - 6050.
-5*(d - 11)**2*(d + 10)
Factor -5*o**2 + 425*o + 430.
-5*(o - 86)*(o + 1)
Solve -3*n**4/4 + 75*n**3/4 + 93*n**2/4 - 399*n/4 + 117/2 = 0 for n.
-3, 1, 26
Factor 4*m**3 + 404*m**2 + 10400*m + 10000.
4*(m + 1)*(m + 50)**2
Solve -22*d**5/5 - 62*d**4/5 - 54*d**3/5 - 2*d**2 + 4*d/5 = 0 for d.
-1, 0, 2/11
Factor 2*a**4/3 + 8*a**3 - 2*a**2/3 - 8*a.
2*a*(a - 1)*(a + 1)*(a + 12)/3
Find f, given that 2*f**4/3 - 82*f**3/3 + 598*f**2/3 + 5290*f/3 = 0.
-5, 0, 23
Find o, given that 2*o**4/21 + 10*o**3/7 + 4*o**2/3 = 0.
-14, -1, 0
Let 2*v**2/5 + 1276*v/5 + 203522/5 = 0. Calculate v.
-319
Suppose y**2/2 - 749*y/2 - 375 = 0. Calculate y.
-1, 750
Factor q**4/2 + 23*q**3/6 - 76*q**2/3 + 8*q.
q*(q - 4)*(q + 12)*(3*q - 1)/6
Factor 10*a**3/3 - 74*a**2/3 - 272*a/3 + 40.
2*(a - 10)*(a + 3)*(5*a - 2)/3
Factor 2*y**3 - 2*y**2 - 18*y + 18.
2*(y - 3)*(y - 1)*(y + 3)
Factor -j**3/2 - 43*j**2/2 + 89*j/2 - 45/2.
-(j - 1)**2*(j + 45)/2
Factor y**4/3 + 47*y**3/3 - 148*y**2/3 + 100*y/3.
y*(y - 2)*(y - 1)*(y + 50)/3
Factor -3*m**5 - 26*m**4 - 60*m**3 - 54*m**2 - 17*m.
-m*(m + 1)**3*(3*m + 17)
Factor -m**3 + 5*m**2 + 41*m - 45.
-(m - 9)*(m - 1)*(m + 5)
Solve -w**3 - 61*w**2 + w + 61 = 0.
-61, -1, 1
Factor 5*d**2 - 225*d + 220.
5*(d - 44)*(d - 1)
Find z such that -2*z**3/7 - 102*z**2 + 308*z - 1440/7 = 0.
-360, 1, 2
Let -h**4 - 11*h**3 - 45*h**2 - 81*h - 54 = 0. What is h?
-3, -2
Factor -2*i**3 + 3558*i**2 + 3560*i.
-2*i*(i - 1780)*(i + 1)
Factor -35*s**5 + 115*s**4 - 135*s**3 + 65*s**2 - 10*s.
-5*s*(s - 1)**3*(7*s - 2)
Factor -y**3/11 - 8*y**2/11 + y + 18/11.
-(y - 2)*(y + 1)*(y + 9)/11
Factor 2*b**2/17 - 2*b/17 - 4/17.
2*(b - 2)*(b + 1)/17
Let -3*g**3/7 + 36*g**2/7 + 48*g/7 - 576/7 = 0. Calculate g.
-4, 4, 12
Solve d**2 - 166*d + 6889 = 0 for d.
83
Factor -4*t**5 - 8*t**4 - 4*t**3.
-4*t**3*(t + 1)**2
Factor -1444*l**3 + 1900*l**2 + 6272*l + 3072.
-4*(l - 3)*(19*l + 16)**2
Factor 10*t**4 - 44*t**3 + 10*t**2 + 24*t.
2*t*(t - 4)*(t - 1)*(5*t + 3)
Factor 2*q**3/9 - 76*q**2/3 - 698*q/9 - 52.
2*(q - 117)*(q + 1)*(q + 2)/9
Factor -2*s**3/17 - 8*s**2 + 278*s/17 - 140/17.
-2*(s - 1)**2*(s + 70)/17
Factor -2*z**2/5 - 116*z/5 + 126.
-2*(z - 5)*(z + 63)/5
Find 