
Let -5*q**3/2 + 3705*q**2/2 - 915135*q/2 + 75346115/2 = 0. Calculate q.
247
Solve -c**2 - 24*c - 44 = 0 for c.
-22, -2
Solve 3*k**2 - 2031*k + 2028 = 0 for k.
1, 676
Let 9*w**5/2 + 21*w**4/2 - 36*w**3 - 18*w**2 + 24*w = 0. What is w?
-4, -1, 0, 2/3, 2
Determine j, given that -2*j**3/13 - 56*j**2/13 - 106*j/13 - 4 = 0.
-26, -1
Factor 5*x**2 - 305*x - 630.
5*(x - 63)*(x + 2)
Determine f, given that -2*f**2/15 - 1584*f/5 - 940896/5 = 0.
-1188
Let -z**3/10 + 99*z**2/5 - 6534*z/5 + 143748/5 = 0. Calculate z.
66
Determine b, given that 3*b**2 - 618*b + 1224 = 0.
2, 204
Suppose -3*s**3 + 432*s**2 - 20655*s + 328050 = 0. What is s?
45, 54
Factor j**4/3 - 2*j**3/3 - 56*j**2 + 198*j + 1053.
(j - 9)**2*(j + 3)*(j + 13)/3
Determine z so that 3*z**3/4 + 6*z**2 + 39*z/4 + 9/2 = 0.
-6, -1
Find b such that -3*b**2 + 72*b/5 - 81/5 = 0.
9/5, 3
What is c in -8*c**2 + 177*c + 161 = 0?
-7/8, 23
What is f in 12*f**5 + 104*f**4 + 328*f**3 + 464*f**2 + 300*f + 72 = 0?
-3, -1, -2/3
Let 5*c**3/2 + 59*c**2 + 267*c/2 - 63 = 0. What is c?
-21, -3, 2/5
Factor 2*i**4 - 196*i**3 - 400*i**2.
2*i**2*(i - 100)*(i + 2)
Find l such that -10*l**2/7 - 4092*l - 11456/7 = 0.
-2864, -2/5
Factor -2*k**2 + 2*k + 40.
-2*(k - 5)*(k + 4)
Determine k so that -9*k**3/4 - 33*k**2 - 325*k/4 + 625/2 = 0.
-25/3, 2
Factor -855*u**4 + 2370*u**3 - 1760*u**2 + 160*u.
-5*u*(3*u - 4)**2*(19*u - 2)
Solve -3*c**3 - 6*c**2 - 3*c = 0.
-1, 0
Find a such that -2*a**2/5 - 324*a/5 - 13122/5 = 0.
-81
Factor w**3/5 - w**2/5 - 34*w/5 - 56/5.
(w - 7)*(w + 2)*(w + 4)/5
Let h**3/2 + 39*h**2 + 153*h/2 + 38 = 0. What is h?
-76, -1
Factor b**2/6 + 62*b/3 + 1922/3.
(b + 62)**2/6
Factor 5*a**2 - 45.
5*(a - 3)*(a + 3)
Factor d**2/5 - 77*d/5.
d*(d - 77)/5
Factor -2*r**2/13 + 288*r/13.
-2*r*(r - 144)/13
Factor -k**5 - 9*k**4 - 27*k**3 - 27*k**2.
-k**2*(k + 3)**3
Factor -9*h**2/2 - 249*h/2 - 81.
-3*(h + 27)*(3*h + 2)/2
Find d such that -4*d**4 + 1120*d**3 - 76092*d**2 - 328304*d + 403280 = 0.
-5, 1, 142
Let -d**4/2 + 2*d**3 + 43*d**2/2 + 13*d - 36 = 0. Calculate d.
-4, -2, 1, 9
Solve -g**5 - 73*g**4 - 1295*g**3 + 1369*g**2 = 0.
-37, 0, 1
Find o, given that 2*o**5/3 + 10*o**4/3 - 106*o**3/3 - 26*o**2/3 + 320*o/3 - 200/3 = 0.
-10, -2, 1, 5
Factor 36*u**3 + 15*u**2 - 6*u.
3*u*(3*u + 2)*(4*u - 1)
Factor -f**2 + 13*f + 68.
-(f - 17)*(f + 4)
Suppose 5*v**5 - 15*v**4 - 30*v**3 + 40*v**2 = 0. Calculate v.
-2, 0, 1, 4
Factor -3*r**3/8 - 213*r**2/4 - 843*r/8 - 105/2.
-3*(r + 1)**2*(r + 140)/8
Determine o, given that 6*o**5 - 57*o**4 + 111*o**3 + 165*o**2 - 225*o = 0.
-3/2, 0, 1, 5
What is z in 11*z**5 - 2*z**4 - 33*z**3 - 16*z**2 + 4*z = 0?
-1, 0, 2/11, 2
Determine u, given that 4*u**5 + 140*u**4 + 1132*u**3 - 2028*u**2 - 6912*u - 3888 = 0.
-18, -1, 3
Let -3*g**3/4 + 123*g**2/4 - 1485*g/4 + 5589/4 = 0. Calculate g.
9, 23
Factor -5*s**2 - 460*s - 10580.
-5*(s + 46)**2
Solve q**2/6 + 23*q/3 + 529/6 = 0.
-23
Factor -4*w**2 + 128*w - 124.
-4*(w - 31)*(w - 1)
Find j such that -2*j**5/11 - 10*j**4 + 1250*j**3/11 - 3250*j**2/11 = 0.
-65, 0, 5
Find m such that 15*m**3 - 260*m**2 + 325*m - 80 = 0.
1/3, 1, 16
Suppose x**4/3 - 41*x**3/3 + 79*x**2/3 - 13*x = 0. Calculate x.
0, 1, 39
Determine o, given that 5*o**2 + 695*o - 700 = 0.
-140, 1
Factor -l**5/4 - 7*l**4/4 - 3*l**3/2.
-l**3*(l + 1)*(l + 6)/4
Suppose -4*f**5 - 2484*f**4 + 17512*f**3 - 45136*f**2 + 50208*f - 20096 = 0. What is f?
-628, 1, 2
Determine r, given that 2*r**2 - 1690*r - 1692 = 0.
-1, 846
Find d, given that -4*d**2 - 5304*d - 1758276 = 0.
-663
Factor 5*b**3 - 80*b**2 + 385*b - 490.
5*(b - 7)**2*(b - 2)
Factor -4*n**4 + 84*n**3 - 296*n**2 - 1536*n - 1152.
-4*(n - 12)**2*(n + 1)*(n + 2)
Let -j**4/4 + 3*j**3/4 + 9*j**2/2 + j - 6 = 0. Calculate j.
-2, 1, 6
Let -2*n**5/9 + 2*n**4/3 - 2*n**3/3 + 2*n**2/9 = 0. Calculate n.
0, 1
Find b such that -9*b**5 + 69*b**4 + 353*b**3 - 257*b**2 + 44*b = 0.
-4, 0, 1/3, 11
Factor -4*k**2/3 - 4*k + 24.
-4*(k - 3)*(k + 6)/3
Factor -w**3 - 17*w**2/4 - w.
-w*(w + 4)*(4*w + 1)/4
Determine q so that 2*q**3/9 - 2*q/9 = 0.
-1, 0, 1
What is c in 2*c**4/3 - 40*c**3/3 + 292*c**2/3 - 920*c/3 + 350 = 0?
3, 5, 7
Factor 2*m**3 - 334*m**2 - 2*m + 334.
2*(m - 167)*(m - 1)*(m + 1)
Suppose -2*x**4/7 + 2*x**3 - 10*x**2/7 - 2*x + 12/7 = 0. Calculate x.
-1, 1, 6
Solve r**2/3 - r/3 - 4 = 0 for r.
-3, 4
Factor -36*q**3 - 52*q**2 + 4*q + 20.
-4*(q + 1)**2*(9*q - 5)
What is o in 22*o**4 + 1626*o**3 + 29970*o**2 - 2738*o = 0?
-37, 0, 1/11
Factor 2*d**3/11 - 28*d**2/11 + 130*d/11 - 200/11.
2*(d - 5)**2*(d - 4)/11
Determine z so that -2*z**5/13 - 80*z**4/13 + 170*z**3/13 + 80*z**2/13 - 168*z/13 = 0.
-42, -1, 0, 1, 2
Factor x**3 - 19*x + 30.
(x - 3)*(x - 2)*(x + 5)
Find x, given that x**2 + 76*x + 355 = 0.
-71, -5
Factor 2*g**3/9 + 22*g**2/3 - 32*g + 296/9.
2*(g - 2)**2*(g + 37)/9
Factor -4*x**2/9 + 2272*x/9.
-4*x*(x - 568)/9
Factor 121*p**3/7 + 15411*p**2/7 + 5592*p/7 + 508/7.
(p + 127)*(11*p + 2)**2/7
Factor -n**3/8 + 7*n**2/4 + 31*n/8 + 2.
-(n - 16)*(n + 1)**2/8
Factor -7*y**4/3 - 10*y**3 - 29*y**2/3 - 2*y.
-y*(y + 1)*(y + 3)*(7*y + 2)/3
Find q such that 5*q**5 - 195*q**4 - 855*q**3 - 245*q**2 + 1290*q = 0.
-3, -2, 0, 1, 43
Solve d**2 + 734*d + 134689 = 0.
-367
Solve 2*o**4/17 - 6*o**2/17 + 4*o/17 = 0.
-2, 0, 1
Factor 5*u**4 + 3715*u**3 + 22170*u**2 + 44260*u + 29480.
5*(u + 2)**3*(u + 737)
Solve -27*p**5 + 120*p**4 - 48*p**3 - 432*p**2 + 624*p - 192 = 0.
-2, 4/9, 2
Factor -2*u**5 - 4*u**4 - 2*u**3.
-2*u**3*(u + 1)**2
Solve x**4 + 30*x**3 + 172*x**2 + 258*x + 115 = 0.
-23, -5, -1
Find d such that -4*d**5 - 116*d**4 - 956*d**3 - 796*d**2 + 10944*d - 9072 = 0.
-14, -9, 1, 2
Factor -75*t**3 + 15255*t**2 - 6093*t + 609.
-3*(t - 203)*(5*t - 1)**2
Factor -4*o**3 - 20*o**2 + 24*o.
-4*o*(o - 1)*(o + 6)
Factor -u**4/2 - 191*u**3 - 32881*u**2/2 + 343800*u - 1620000.
-(u - 9)**2*(u + 200)**2/2
Solve 2*d**3/15 - 132*d**2/5 = 0 for d.
0, 198
Factor 3*y**2/2 - 810*y - 1623/2.
3*(y - 541)*(y + 1)/2
Factor 18*x**4 + 409*x**3 + 288*x**2 + 44*x.
x*(x + 22)*(2*x + 1)*(9*x + 2)
Let -5*r**4 + 60*r**3 + 35*r**2 - 390*r - 360 = 0. Calculate r.
-2, -1, 3, 12
Factor t**2 - 3*t - 28.
(t - 7)*(t + 4)
Solve t**3 + 101*t**2 - 205*t + 103 = 0 for t.
-103, 1
Suppose 5*m**2 + 120*m + 720 = 0. What is m?
-12
Let -c**4/6 + 2*c**3/3 + 11*c**2/6 + c = 0. What is c?
-1, 0, 6
What is y in 245*y**4 + 140*y**3 - 6105*y**2 - 3500*y - 500 = 0?
-5, -2/7, 5
Factor 2*v**2/3 + 88*v/3 + 86/3.
2*(v + 1)*(v + 43)/3
Find p, given that -5*p**3 + 425*p**2 + 10385*p - 1099805 = 0.
-49, 67
Let k**4 - 34*k**3 + 179*k**2 - 314*k + 168 = 0. What is k?
1, 2, 3, 28
Factor -3*l**3 + 6*l**2 + 57*l - 60.
-3*(l - 5)*(l - 1)*(l + 4)
Factor -14*y**3 + 886*y**2 - 252*y.
-2*y*(y - 63)*(7*y - 2)
Let i**3/3 + 5*i**2/3 + 4*i/3 = 0. What is i?
-4, -1, 0
What is s in 2*s**5 + 6*s**4 - 20*s**3 + 4*s**2 + 18*s - 10 = 0?
-5, -1, 1
Factor -5*p**4 + 60*p**3 + 90*p**2 - 340*p + 195.
-5*(p - 13)*(p - 1)**2*(p + 3)
Find h such that -h**4/4 + h**3/4 + 3*h**2/4 - 5*h/4 + 1/2 = 0.
-2, 1
Suppose -2*i**2 + 8*i + 120 = 0. Calculate i.
-6, 10
Factor 5*r**4 - 140*r**3 + 135*r**2.
5*r**2*(r - 27)*(r - 1)
Factor -3*c**3/5 + 20562*c**2/5 - 8223*c + 20556/5.
-3*(c - 6852)*(c - 1)**2/5
Factor 2*l**4/11 + 72*l**3/11 + 936*l**2/11 + 5184*l/11 + 10368/11.
2*(l + 6)**2*(l + 12)**2/11
Factor 4*a**3 + 76*a**2 - 264*a.
4*a*(a - 3)*(a + 22)
Factor 3*w**4/5 + 36*w**3/5 + 21*w**2 - 36*w/5 - 108/5.
3*(w - 1)*(w + 1)*(w + 6)**2/5
Suppose 5*l**5 - 40*l**4 + 45*l**3 + 90*l**2 = 0. What is l?
-1, 0, 3, 6
Factor -4*u**4 + 18*u**3 - 24*u**2 + 8*u.
-2*u*(u - 2)**2*(2*u - 1)
Find l, given that -5*l**3/3 + 10*l**2/3 + 65*l/3 + 50/3 = 0.
-2, -1, 5
Let 3*n**5/4 - 135*n**4/2 + 531*n**3/4 - 66*n**2 = 0. Calculate n.
0, 1, 88
Suppose o**2/6 + 269*o/6 - 417 = 0. Calculate o.
-278, 9
Find f such that -2*f**2/5 - 2892*f/5 - 578 = 0.
-1445, -1
Suppose 2*h**2 + 150*h + 148 = 0. What is h?
-74, -1
Determine a so that -a**4/2 - 1262*a**3/3 - 3359*a**2/6 + 421*a/3 + 280 = 0.
-840, -1, 2/3
Find z, given that 20*z**2 + 896*z + 704 = 0.
-44, -4/5
Factor u**3 - 690*u**2 + 117633*u + 481636.
(u - 347)**2*(u + 4)
Factor x**4/6 - 5*x**3/6 + x**2.
x**2*(x - 3)*(x - 2)/6
What is x in x**5/4 - 319*x**4/2 - 1281*x**3/2 - 962*x**2 - 2567*x/4 - 321/2 = 0?
-1, 642
Factor 2*k**2 - 2378*k/3 - 2384/3.
2*(k +