 19*a/7 - 8 = 0 for a.
-1, 56/37
Factor 4*x**5/9 - 524*x**4/9 + 344*x**3/3.
4*x**3*(x - 129)*(x - 2)/9
Factor 4*c**2 - 5184*c + 1679616.
4*(c - 648)**2
Solve 2*d**2 - 2196*d = 0.
0, 1098
Find z such that -2*z**2/5 + 308*z/5 - 11858/5 = 0.
77
Factor -2*k**4/3 + 412*k**3/3 - 18602*k**2/3 - 89816*k - 285144.
-2*(k - 109)**2*(k + 6)**2/3
Find q such that -q**3/7 - 19*q**2/7 - 5*q - 17/7 = 0.
-17, -1
Solve 3*a**5/8 + 9*a**4/8 - 15*a**3/4 = 0 for a.
-5, 0, 2
Let y**4/2 - 17*y**3/2 + 31*y**2/2 - 15*y/2 = 0. Calculate y.
0, 1, 15
Determine w so that -12*w**3 - 15*w**2 - 3*w = 0.
-1, -1/4, 0
Solve 5*u**5 + 30*u**4 - 255*u**3 + 220*u**2 = 0 for u.
-11, 0, 1, 4
Factor -4*h**5 + 37*h**4 - 112*h**3 + 90*h**2 + 108*h - 135.
-(h - 3)**3*(h + 1)*(4*h - 5)
Suppose -2*j**4/9 - 44*j**3/9 - 38*j**2/3 + 64*j + 72 = 0. Calculate j.
-18, -6, -1, 3
Find s such that 5*s**2 - 355*s + 350 = 0.
1, 70
Solve -3*y**5/4 - 87*y**4/4 - 651*y**3/4 - 1053*y**2/4 - 243*y/2 = 0.
-18, -9, -1, 0
Let 2*g**2 - 776*g + 774 = 0. What is g?
1, 387
Factor 3*w**3/8 + 81*w**2/2 + 1458*w + 17496.
3*(w + 36)**3/8
Factor 4*i**2 - 192*i + 540.
4*(i - 45)*(i - 3)
Factor 2*b**3/3 + 18*b**2 - 2*b/3 - 18.
2*(b - 1)*(b + 1)*(b + 27)/3
Factor s**4 + 44*s**3 + 42*s**2 - 44*s - 43.
(s - 1)*(s + 1)**2*(s + 43)
Factor 4*a**3 + 28*a**2 + 64*a + 48.
4*(a + 2)**2*(a + 3)
Factor 12*n**3/5 + 14*n**2 - 96*n/5 + 14/5.
2*(n - 1)*(n + 7)*(6*n - 1)/5
Let 2*r**5 - 38*r**4 - 126*r**3 - 130*r**2 - 44*r = 0. What is r?
-1, 0, 22
Factor o**3/6 - 19*o**2/6 - 32*o/3 - 22/3.
(o - 22)*(o + 1)*(o + 2)/6
Let 2*t**4/5 + 24*t**3 - 822*t**2/5 - 1996*t/5 - 1056/5 = 0. Calculate t.
-66, -1, 8
Let 3*o**5/8 + 477*o**4/4 + 57117*o**3/4 + 767643*o**2 + 128683179*o/8 + 116850243/4 = 0. What is o?
-79, -2
Factor -2*j**5/5 + 2*j**4/5 + 4*j**3/5 - 4*j**2/5 - 2*j/5 + 2/5.
-2*(j - 1)**3*(j + 1)**2/5
Factor 5*b**3 + 4290*b**2 + 1226940*b + 116968280.
5*(b + 286)**3
Factor -2*b**2/9 + b/9 + 7/3.
-(b + 3)*(2*b - 7)/9
Factor 3*i**2/2 - 18*i + 33/2.
3*(i - 11)*(i - 1)/2
Find n such that n**5 + 2*n**4 - 3*n**3 - 8*n**2 - 4*n = 0.
-2, -1, 0, 2
Determine d so that -d**5 + d**4 + d**3 - d**2 = 0.
-1, 0, 1
Factor -2*y**3/3 - 3466*y**2/3 - 13840*y/3 - 13832/3.
-2*(y + 2)**2*(y + 1729)/3
Factor 3*n**3/4 + 45*n**2/4 + 81*n/4 + 39/4.
3*(n + 1)**2*(n + 13)/4
Let 5*q**3 + 230*q**2 - 495*q - 720 = 0. Calculate q.
-48, -1, 3
Let -n**3/2 + 3*n**2 - 5*n/2 = 0. Calculate n.
0, 1, 5
Factor -99*i**3/2 - 291*i**2/2 + 9*i.
-3*i*(i + 3)*(33*i - 2)/2
Solve 50*i**5/7 + 10*i**4/7 - 332*i**3/7 + 248*i**2/7 - 48*i/7 = 0.
-3, 0, 2/5, 2
Factor -f**5 + 3*f**4 + 3*f**3 - 11*f**2 + 6*f.
-f*(f - 3)*(f - 1)**2*(f + 2)
Determine g, given that 3*g**4/5 - 15*g**3 + 609*g**2/5 - 1617*g/5 = 0.
0, 7, 11
What is t in -2*t**5 + 44*t**4 + 322*t**3 + 404*t**2 - 320*t - 448 = 0?
-4, -2, -1, 1, 28
Let 15*a**2 + 3*a/4 = 0. What is a?
-1/20, 0
Solve 2*f**2/13 - 3184*f/13 + 1267232/13 = 0.
796
Find i such that 2*i**3/5 + 154*i**2/5 - 32*i - 312/5 = 0.
-78, -1, 2
Determine q, given that 3*q**2/2 - 9*q - 324 = 0.
-12, 18
Solve w**2/5 - 6914*w/5 + 11950849/5 = 0.
3457
Factor 10*p**2/7 - 32*p/7.
2*p*(5*p - 16)/7
Factor 3*d**3 - 54*d**2 - 12*d + 216.
3*(d - 18)*(d - 2)*(d + 2)
What is w in -2*w**3 - 6444*w**2 - 6920856*w - 2477666448 = 0?
-1074
Factor 5*n**3 + 50*n**2 - 80*n - 800.
5*(n - 4)*(n + 4)*(n + 10)
Suppose -3*l**2 + 5958*l - 2958147 = 0. What is l?
993
Let -y**2 + 148*y = 0. What is y?
0, 148
Determine y so that 3*y**4/7 - 36*y**2/7 - 48*y/7 = 0.
-2, 0, 4
Let 2*t**4/5 - 88*t**3/5 + 1178*t**2/5 - 4332*t/5 = 0. What is t?
0, 6, 19
Let 3*l**3 - 111*l**2 + 840*l + 3600 = 0. What is l?
-3, 20
Find d, given that d**2 - 3474*d + 3017169 = 0.
1737
Factor -2*l**3/3 + 104*l**2/3 - 1610*l/3 + 2116.
-2*(l - 23)**2*(l - 6)/3
Find p such that -3*p**4/4 - 9*p**3/2 - 33*p**2/4 - 9*p/2 = 0.
-3, -2, -1, 0
Factor 12*q**4 - 29*q**3 + 20*q**2 - q - 2.
(q - 1)**2*(3*q - 2)*(4*q + 1)
Suppose 15*c**5/4 + 33*c**4/2 + 99*c**3/4 + 15*c**2 + 3*c = 0. Calculate c.
-2, -1, -2/5, 0
Factor -4*h**2 + 12*h.
-4*h*(h - 3)
Suppose -153*d**3 + 426*d**2 + 105*d - 18 = 0. Calculate d.
-1/3, 2/17, 3
What is p in p**3/7 - 5*p**2/7 + 6*p/7 = 0?
0, 2, 3
Let -162*b**5 + 5976*b**4/7 + 5370*b**3/7 - 2340*b**2/7 - 456*b/7 + 144/7 = 0. What is b?
-1, -2/7, 2/9, 1/3, 6
What is j in 49*j**2/4 - 91*j/2 + 169/4 = 0?
13/7
Let -m**5/4 - 9*m**4/2 - 81*m**3/4 = 0. What is m?
-9, 0
Factor -m**4 - 298*m**3 + 301*m**2 + 598*m.
-m*(m - 2)*(m + 1)*(m + 299)
Determine y so that y**2/10 - 1101*y/5 + 1212201/10 = 0.
1101
Let b**2 + 320*b + 319 = 0. Calculate b.
-319, -1
Factor w**2/3 + 11*w/3 - 34.
(w - 6)*(w + 17)/3
Let -2*h**3/15 - 118*h**2/15 - 304*h/15 + 49096/15 = 0. Calculate h.
-38, 17
Solve 4*n**4 + 4*n**3 - 4*n**2 - 4*n = 0.
-1, 0, 1
Let -2*m**3/5 + 434*m**2/5 - 1712*m/5 + 1704/5 = 0. Calculate m.
2, 213
Factor 5*c**4 - 115*c**3 + 705*c**2 - 1085*c + 490.
5*(c - 14)*(c - 7)*(c - 1)**2
Solve 27*a**3/8 + 843*a**2/4 + 26691*a/8 + 2883/2 = 0.
-31, -4/9
Determine h, given that 3*h**3 - 1074*h**2 + 98235*h - 375948 = 0.
4, 177
Let 2*r**4/5 + 8*r**3/5 + 2*r**2 + 4*r/5 = 0. Calculate r.
-2, -1, 0
Solve 2*z**4 + 14*z**3/5 - 166*z**2/5 + 82*z/5 + 12 = 0.
-5, -2/5, 1, 3
Factor -3*z**2 - 120*z + 1152.
-3*(z - 8)*(z + 48)
Factor 2*f**4/13 - 14*f**3/13 - 34*f**2/13 - 18*f/13.
2*f*(f - 9)*(f + 1)**2/13
Determine z so that -28*z**3/5 + 2*z**2/5 = 0.
0, 1/14
Determine w so that 2*w**5/5 - 4*w**4 + 16*w**3/5 + 4*w**2 - 18*w/5 = 0.
-1, 0, 1, 9
Factor -3*m**4/5 - 492*m**3/5 - 19674*m**2/5 + 40836*m/5 - 20667/5.
-3*(m - 1)**2*(m + 83)**2/5
Factor 4*l**2/7 + 725*l/7 + 181/7.
(l + 181)*(4*l + 1)/7
Solve 5*w**3 + 65*w**2 + 60*w = 0.
-12, -1, 0
Suppose -2*a**5/5 - 2*a**4 - 8*a**3/5 = 0. Calculate a.
-4, -1, 0
Factor i**5/7 + 2*i**4/7 - 12*i**3/7 + 2*i**2 - 5*i/7.
i*(i - 1)**3*(i + 5)/7
Let -12013156*o**2 - 83184*o - 144 = 0. Calculate o.
-6/1733
Factor -2*l**2 - 38*l + 40.
-2*(l - 1)*(l + 20)
Find r, given that 2*r**3 - 28*r**2 - 136*r - 144 = 0.
-2, 18
Factor 4*q**2/5 + 3*q - 5.
(q + 5)*(4*q - 5)/5
Find o such that 3*o**3 - 3816*o**2 + 1617984*o - 228675072 = 0.
424
Factor 5*c**5 + 15*c**4 + 5*c**3 - 15*c**2 - 10*c.
5*c*(c - 1)*(c + 1)**2*(c + 2)
Factor -20*w**3 + 432*w**2 - 1264*w - 576.
-4*(w - 18)*(w - 4)*(5*w + 2)
Factor -243*t**5/4 - 3591*t**4/2 - 17418*t**3 - 52740*t**2 + 26100*t - 3000.
-3*(t + 10)**3*(9*t - 2)**2/4
Factor t**4 - 25*t**2.
t**2*(t - 5)*(t + 5)
Suppose -20*t**2/7 - 124*t/7 - 104/7 = 0. Calculate t.
-26/5, -1
What is b in b**3/6 - 20*b**2/3 - 416*b/3 - 1792/3 = 0?
-8, 56
Determine a, given that 2*a**4/7 + 6*a**3/7 - 6*a**2/7 - 22*a/7 - 12/7 = 0.
-3, -1, 2
Factor -2*g**3 + 354*g**2 + 2928*g + 5920.
-2*(g - 185)*(g + 4)**2
Suppose -20*s**4 - 188*s**3 - 372*s**2 + 380*s + 200 = 0. Calculate s.
-5, -2/5, 1
Factor -18*m**4/5 + 25464*m**3/5 - 9014252*m**2/5 + 6001016*m/5 - 999698/5.
-2*(m - 707)**2*(3*m - 1)**2/5
Factor -t**3/8 + 11*t**2/8 - 39*t/8 + 45/8.
-(t - 5)*(t - 3)**2/8
Determine f so that -4*f**4 - 416*f**3 - 11616*f**2 - 41600*f - 40000 = 0.
-50, -2
Factor -3*m**2 - 12*m - 12.
-3*(m + 2)**2
Factor p**2/7 - 18*p/7 + 65/7.
(p - 13)*(p - 5)/7
Factor c**2 + 67*c - 948.
(c - 12)*(c + 79)
Factor y**3/5 + 575*y**2 - 5753*y/5 + 2877/5.
(y - 1)**2*(y + 2877)/5
Factor -2*x**5/13 - 72*x**4/13 - 648*x**3/13.
-2*x**3*(x + 18)**2/13
Find l such that -2*l**4/19 + 8*l**3/19 + 2*l**2/19 - 8*l/19 = 0.
-1, 0, 1, 4
Factor d**4/5 + 336*d**3/5 + 27197*d**2/5 - 34542*d + 233928/5.
(d - 4)*(d - 2)*(d + 171)**2/5
Let -s**3/3 - 6*s**2 + 28*s - 88/3 = 0. What is s?
-22, 2
Determine f, given that -4*f**3 + 7*f**2 - 3*f = 0.
0, 3/4, 1
Factor -2*i**4 + 108*i**3/5 + 246*i**2/5 + 128*i/5.
-2*i*(i + 1)**2*(5*i - 64)/5
Factor -4*j**3/5 - 72*j**2/5 - 128*j/5.
-4*j*(j + 2)*(j + 16)/5
Suppose -c**2/6 - 511*c/6 + 256/3 = 0. Calculate c.
-512, 1
What is a in 25*a**4 + 65*a**3 - 55*a**2 - 65*a + 30 = 0?
-3, -1, 2/5, 1
Suppose 4*z**2 + 261*z + 257 = 0. Calculate z.
-257/4, -1
Factor -2*z**2/7 - 62*z/7 + 132/7.
-2*(z - 2)*(z + 33)/7
Factor 5*c**2 + 35*c - 40.
5*(c - 1)*(c + 8)
Factor 5*i**3 - 845*i**2 + 1675*i - 835.
5*(i - 167)*(i - 1)**2
Let 10*u**5/23 - 6*u**4/23 - 4*u**3/23 = 0. What is u?
-2/5, 0, 1
Factor -2*z**2/17 + 14976*z/17 - 28035072/17.
-2*(z - 3744)**2/17
Let -4*