1, 4
Find s such that -2*s**2/5 + 1512*s - 1428840 = 0.
1890
Determine r so that r**2/10 - 398*r/5 + 79202/5 = 0.
398
Factor -2*m**2 + 10*m - 12.
-2*(m - 3)*(m - 2)
Find j such that 5*j**2 + 420*j + 8820 = 0.
-42
Factor 4*c**3 - 240*c**2 + 464*c.
4*c*(c - 58)*(c - 2)
Find u such that -5*u**3 - 60*u**2 - 225*u - 250 = 0.
-5, -2
Factor -13*j**2/3 + 8*j/3.
-j*(13*j - 8)/3
Factor 2*w**2/7 + 114*w/7 + 520/7.
2*(w + 5)*(w + 52)/7
Suppose -3*k**2 - 27*k + 1200 = 0. Calculate k.
-25, 16
Suppose -9*y**4/5 + 21*y**3/5 - 6*y**2/5 = 0. Calculate y.
0, 1/3, 2
Find q, given that -q**3/3 - 25*q**2 - 74*q/3 = 0.
-74, -1, 0
Factor -8*m**2 + 114*m/7 - 4/7.
-2*(m - 2)*(28*m - 1)/7
Determine j so that j**4/6 - 83*j**3/6 - 85*j**2/2 - 257*j/6 - 43/3 = 0.
-1, 86
Factor -2*b**3/3 + 2*b**2 + 30*b - 350/3.
-2*(b - 5)**2*(b + 7)/3
Find m, given that -3*m**4 - 16*m**3 + 24*m**2 + 64*m - 48 = 0.
-6, -2, 2/3, 2
Solve -3*h**4 - 834*h**3 + 5940*h**2 - 12798*h + 7695 = 0 for h.
-285, 1, 3
Find s such that 2*s**2 + 124*s - 256 = 0.
-64, 2
Find f, given that 74*f**4/7 - 78*f**3/7 - 292*f**2/7 + 312*f/7 - 16/7 = 0.
-2, 2/37, 1, 2
Factor 36*g**3 - 1824*g**2 + 1204*g - 200.
4*(g - 50)*(3*g - 1)**2
Determine h, given that 45*h**5/7 + 87*h**4/7 - 6*h**3/7 = 0.
-2, 0, 1/15
Factor -121*h**2/2 - 220*h - 200.
-(11*h + 20)**2/2
Determine x so that 11*x**5 + 15*x**4 - 91*x**3 - 171*x**2 + 8*x + 84 = 0.
-2, -1, 7/11, 3
Determine h so that 65*h**3 + 5*h**2 - 65*h - 5 = 0.
-1, -1/13, 1
Solve -2*m**5/5 - 8*m**4/5 - 6*m**3/5 + 8*m**2/5 + 8*m/5 = 0.
-2, -1, 0, 1
Let 2*l**3/7 - 124*l**2/7 + 14*l + 1464/7 = 0. Calculate l.
-3, 4, 61
Factor -4*l**2 + 32*l + 80.
-4*(l - 10)*(l + 2)
Factor -o**4/6 + 11*o**3/6 + 12*o**2 + 62*o/3 + 32/3.
-(o - 16)*(o + 1)*(o + 2)**2/6
Suppose -c**4/2 + 5*c**3 - 21*c**2/2 = 0. Calculate c.
0, 3, 7
Determine o so that -2*o**5/11 - 2*o**4/11 + 4*o**3/11 = 0.
-2, 0, 1
Factor o**3/4 + 7*o**2/4 - o - 7.
(o - 2)*(o + 2)*(o + 7)/4
Factor 4*p**3 + 4*p**2 - 16*p - 16.
4*(p - 2)*(p + 1)*(p + 2)
Suppose -28*l**3 - 1084*l**2 + 1432*l - 320 = 0. Calculate l.
-40, 2/7, 1
Factor 2*r**3/15 - 2*r**2 + 32*r/5 + 128/15.
2*(r - 8)**2*(r + 1)/15
Factor 5*y**4/4 + 15*y**3/2 - 15*y**2/4 - 25*y - 15.
5*(y - 2)*(y + 1)**2*(y + 6)/4
Factor 4*b**3 - 152*b**2 + 1376*b - 3328.
4*(b - 26)*(b - 8)*(b - 4)
What is k in 2*k**4 + 8*k**3 + 2*k**2 - 12*k = 0?
-3, -2, 0, 1
Let -4*t**4 + 280*t**3 - 540*t**2 - 280*t + 544 = 0. What is t?
-1, 1, 2, 68
Solve -2*n**5/5 + 6*n**4/5 + 42*n**3/5 - 14*n**2/5 - 24*n - 72/5 = 0 for n.
-3, -1, 2, 6
Find k, given that -2*k**5/9 - 244*k**4/9 + 1000*k**3/9 - 112*k**2 = 0.
-126, 0, 2
Solve -30*t**5 + 5*t**4 + 55*t**3 - 15*t**2 - 25*t + 10 = 0 for t.
-1, 1/2, 2/3, 1
Suppose -2*h**3/9 - 88*h**2/3 - 2990*h/3 - 16900/9 = 0. What is h?
-65, -2
Factor -b**4/2 - 16*b**3 - 192*b**2 - 1024*b - 2048.
-(b + 8)**4/2
Solve z**4/4 - 31*z**3 - 645*z**2/4 = 0.
-5, 0, 129
Factor -2*g**3/9 - 4*g**2/3 + 14*g/9.
-2*g*(g - 1)*(g + 7)/9
Factor -f**3/3 - 4*f**2/3 - f.
-f*(f + 1)*(f + 3)/3
Factor 3*b**5 + 84*b**4 + 588*b**3.
3*b**3*(b + 14)**2
Suppose 6*b**2 + 146*b + 48 = 0. Calculate b.
-24, -1/3
Factor -2*f**2/7 - 548*f/7.
-2*f*(f + 274)/7
Let 4*n**4 - 56*n**3 + 148*n**2 + 480*n - 1728 = 0. Calculate n.
-3, 4, 9
Factor 5*g**4/2 + 285*g**3/2 - 145*g**2.
5*g**2*(g - 1)*(g + 58)/2
Factor 2*b**5/9 + 32*b**4/3 + 470*b**3/3 + 6316*b**2/9 + 3752*b/3 + 784.
2*(b + 2)**3*(b + 21)**2/9
Factor 2*m**3/23 - 2114*m**2/23 + 4222*m/23 - 2110/23.
2*(m - 1055)*(m - 1)**2/23
Suppose -z**2 + 47*z + 48 = 0. What is z?
-1, 48
Determine u, given that -36*u**3/7 + 146*u**2/7 - 148*u/7 = 0.
0, 2, 37/18
Find n such that 18*n**3/11 + 12018*n**2/11 - 16048*n/11 + 5352/11 = 0.
-669, 2/3
Factor -z**5 + 342*z**4 - 1358*z**3 + 2032*z**2 - 1353*z + 338.
-(z - 338)*(z - 1)**4
Let 2*n**2/7 + 16*n/7 + 2 = 0. Calculate n.
-7, -1
Find f, given that 14*f**3/15 - 2*f**2/3 - 4*f/15 = 0.
-2/7, 0, 1
Find h such that 14*h**2/17 + 54*h/17 + 36/17 = 0.
-3, -6/7
Find c, given that c**3/2 + 23*c**2 + 89*c/2 + 22 = 0.
-44, -1
Let k**3/4 - 131*k**2/2 - 793*k/4 - 265/2 = 0. Calculate k.
-2, -1, 265
Determine d so that 2*d**2/5 - 454*d/5 + 1344/5 = 0.
3, 224
Factor -25*p**2 + 52*p - 4.
-(p - 2)*(25*p - 2)
Factor 3*v**3/7 - 69*v**2/7 + 360*v/7 + 432/7.
3*(v - 12)**2*(v + 1)/7
Find d, given that -d**3/5 - 4*d**2 - 59*d/5 + 16 = 0.
-16, -5, 1
Factor 2*r**4 - 16*r**3 + 10*r**2 + 28*r.
2*r*(r - 7)*(r - 2)*(r + 1)
Let 3*q**3/4 + 369*q**2 + 60516*q + 3308208 = 0. What is q?
-164
Factor -t**3/11 + 10*t**2/11 - 7*t/11 - 18/11.
-(t - 9)*(t - 2)*(t + 1)/11
Factor -2*f**2/7 - 6640*f/7 - 5511200/7.
-2*(f + 1660)**2/7
Factor o**4 + 62*o**3 + 897*o**2 - 1984*o + 1024.
(o - 1)**2*(o + 32)**2
Factor 25*y**3/3 - 5*y**2 - 25*y/3 + 5.
5*(y - 1)*(y + 1)*(5*y - 3)/3
Solve 3*k**2/4 + 24*k + 192 = 0.
-16
Factor 4*k**3/7 + 220*k**2/7 - 456*k/7.
4*k*(k - 2)*(k + 57)/7
Factor -p**2/2 + 11*p/2 - 5.
-(p - 10)*(p - 1)/2
Solve 15*g**5/2 + 35*g**4/4 - 485*g**3/4 + 255*g**2/2 + 65*g - 50 = 0.
-5, -2/3, 1/2, 2
Factor 2*g**4 + 82*g**3 + 1170*g**2 + 6422*g + 8788.
2*(g + 2)*(g + 13)**3
Factor d**2/5 + 766*d/5 + 146689/5.
(d + 383)**2/5
Factor 3*y**2 - 1686*y + 236883.
3*(y - 281)**2
Factor -2*g**3/5 - 22*g**2/5 - 14*g - 10.
-2*(g + 1)*(g + 5)**2/5
Let -g**2/3 - 14206*g/3 - 50452609/3 = 0. Calculate g.
-7103
Solve x**2/3 + 41*x/3 + 148/3 = 0.
-37, -4
Solve -r**2/8 + 7*r - 55/8 = 0 for r.
1, 55
Factor 15*t**3/4 + 20*t**2 - 185*t/4 - 35/2.
5*(t - 2)*(t + 7)*(3*t + 1)/4
Suppose -4*x**4 - 12*x**3 + 16*x**2 = 0. What is x?
-4, 0, 1
Let 25*l**5/6 + 170*l**4/3 + 1235*l**3/6 + 250*l**2/3 - 70*l = 0. What is l?
-7, -6, -1, 0, 2/5
Let 72*m**3/5 - 57*m**2 - 21*m/5 + 36/5 = 0. What is m?
-3/8, 1/3, 4
Determine s, given that 4*s**4 - 15713*s**3 + 15433112*s**2 - 3857296*s = 0.
0, 1/4, 1964
Find n such that 5*n**3 - 265*n**2 + 3875*n - 9375 = 0.
3, 25
Factor -16*g**3/7 + 10*g**2/7 + 6*g/7.
-2*g*(g - 1)*(8*g + 3)/7
Factor 3*l**3/7 - 3*l**2/7 - 99*l/7 - 27.
3*(l - 7)*(l + 3)**2/7
Suppose 2*n**4/3 - 262*n**3/3 + 2988*n**2 - 25088*n/3 + 16384/3 = 0. Calculate n.
1, 2, 64
Factor -5*d**5/2 + 3625*d**4/2 - 885495*d**3/2 + 75114115*d**2/2 - 273038380*d.
-5*d*(d - 239)**3*(d - 8)/2
Determine a, given that -2*a**4/7 - 58*a**3/7 - 328*a**2/7 - 440*a/7 = 0.
-22, -5, -2, 0
Let -5*q**3/6 - 5*q**2/3 + 5*q/6 + 5/3 = 0. What is q?
-2, -1, 1
Factor -b**4/4 - 7*b**3/2 + 15*b**2/4.
-b**2*(b - 1)*(b + 15)/4
Factor 8*x**2/15 - 11182*x/15 - 932/5.
2*(x - 1398)*(4*x + 1)/15
Factor n**3 + 9*n**2 + 15*n + 7.
(n + 1)**2*(n + 7)
Let 20*y**2/3 + 292*y/9 - 40/9 = 0. Calculate y.
-5, 2/15
Factor -4*n**4 + 16*n**3 + 4*n**2 - 16*n.
-4*n*(n - 4)*(n - 1)*(n + 1)
Let 3*l**4 - 3*l**3 - 78*l**2 - 72*l = 0. What is l?
-4, -1, 0, 6
Factor 37249*p**2/2 - 4632*p + 288.
(193*p - 24)**2/2
Factor -2*q**5 - 10*q**4 - 2*q**3 + 34*q**2 + 44*q + 16.
-2*(q - 2)*(q + 1)**3*(q + 4)
Determine w so that 3*w**2 - 540*w + 1068 = 0.
2, 178
What is j in -15*j**2 + 910*j - 600 = 0?
2/3, 60
Suppose -4*t**3 - 72*t**2 - 260*t = 0. What is t?
-13, -5, 0
Solve 5*c**2 + 375*c + 370 = 0 for c.
-74, -1
Factor -3*g**3 + 12*g**2 + 75*g - 300.
-3*(g - 5)*(g - 4)*(g + 5)
Factor -4*v**3 - 84*v**2 - 152*v.
-4*v*(v + 2)*(v + 19)
Factor m**2 + 289*m + 858.
(m + 3)*(m + 286)
Factor 3*u**3 + 9*u**2 - 180*u - 672.
3*(u - 8)*(u + 4)*(u + 7)
Suppose 14*b**5/19 - 88*b**4/19 + 122*b**3/19 + 56*b**2/19 - 136*b/19 + 32/19 = 0. What is b?
-1, 2/7, 1, 2, 4
Determine c so that 4*c**5 + 12*c**4 - 24*c**3 - 32*c**2 = 0.
-4, -1, 0, 2
Factor -14*f**3/11 + 50*f**2 - 156*f/11.
-2*f*(f - 39)*(7*f - 2)/11
Determine d so that 2*d**5/5 - 30*d**4 + 2734*d**3/5 + 3038*d**2/5 - 2736*d/5 - 2888/5 = 0.
-1, 1, 38
Factor 2*f**2/17 - 4*f + 128/17.
2*(f - 32)*(f - 2)/17
Factor -4*y**3 + 128*y**2 - 448*y.
-4*y*(y - 28)*(y - 4)
Factor j**2/6 - 49*j/2 - 74/3.
(j - 148)*(j + 1)/6
Factor 2*k**2/9 - 130*k/9 + 128/9.
2*(k - 64)*(k - 1)/9
Factor 2*b**4/3 + 2*b**3/3 - 20*b**2/3 + 16*b/3.
2*b*(b - 2)*(b - 1)*(b + 4)/3
Factor -3*r**2 - 1104*r - 3285.
-3*(r + 3)*(r + 365)
Let 108*i**5 - 2088*i**4 - 3864*i**3 + 1744*i**2 + 428*i - 168 = 0. What is i?
-2, -1/3, 1/3, 21
Suppose 3*c**4/4 + 15*c**3/2 - 33*c**2/4 = 0. What is c?
-11, 0, 1
What is n in n**4 - 52*n**3/3 + 17*n**2/3 = 0?
0, 1/3, 17
Factor -3*k**