2/7 - 218297364*a/7.
-4*a*(a - 263)**3*(a - 3)/7
Determine s, given that -39*s**2/5 - 6*s/5 + 144/5 = 0.
-2, 24/13
Find z such that 6*z**2/13 - 1028*z/13 + 342/13 = 0.
1/3, 171
Factor -v**3/2 + 717*v**2/2 - 128163*v/2 - 128881/2.
-(v - 359)**2*(v + 1)/2
Determine i, given that 2*i**3 + 36*i**2 - 350*i = 0.
-25, 0, 7
Factor 4*w**2 - 2964*w - 2968.
4*(w - 742)*(w + 1)
Solve 3*c**5/8 - 69*c**4/8 - 147*c**3/8 - 75*c**2/8 = 0.
-1, 0, 25
Let 5*m**2 - 5*m - 30 = 0. Calculate m.
-2, 3
Factor 2*o**3/3 + 76*o**2/3.
2*o**2*(o + 38)/3
Factor 3*d**4 + 13*d**3 + 19*d**2 + 11*d + 2.
(d + 1)**2*(d + 2)*(3*d + 1)
Factor 5*v**2 + 87*v/2 - 27/2.
(v + 9)*(10*v - 3)/2
Factor -21*y**3 + 909*y**2 - 258*y.
-3*y*(y - 43)*(7*y - 2)
Determine t so that -3*t**2 - 669*t + 672 = 0.
-224, 1
Solve -14*u**4/5 + 12*u**3 + 54*u**2/5 - 4*u = 0 for u.
-1, 0, 2/7, 5
Solve -j**4 - 18*j**3 - 69*j**2/4 - 17*j/4 = 0.
-17, -1/2, 0
Solve 2*d**4/5 + 44*d**3/5 + 82*d**2/5 + 8*d = 0.
-20, -1, 0
Factor -3*c**2 - 36*c + 84.
-3*(c - 2)*(c + 14)
Factor -4*j**3 + 6360*j**2 - 3370800*j + 595508000.
-4*(j - 530)**3
Determine f so that 12*f**3/13 - 22*f**2/13 - 184*f/13 - 30/13 = 0.
-3, -1/6, 5
Factor -27*a**3 - 1425*a**2 + 1776*a - 324.
-3*(a - 1)*(a + 54)*(9*a - 2)
Solve -4*r**2 - 168*r + 1152 = 0.
-48, 6
Factor -2*n**3 + 92*n**2 - 422*n + 492.
-2*(n - 41)*(n - 3)*(n - 2)
Let z**3/4 + 23*z**2/4 - 6*z = 0. Calculate z.
-24, 0, 1
Solve -t**5 + 6*t**4 - 13*t**3 + 12*t**2 - 4*t = 0.
0, 1, 2
Determine c, given that 3*c**4/8 + 75*c**3/8 + 111*c**2/2 - 126*c - 1080 = 0.
-12, -5, 4
Let -8*x**3 + 1250*x**2 - 1552*x + 310 = 0. Calculate x.
1/4, 1, 155
Factor h**3 - 5*h**2 + 7*h - 3.
(h - 3)*(h - 1)**2
Suppose -2*i**5/5 - 12*i**4/5 + 6*i**3/5 + 32*i**2/5 - 24*i/5 = 0. Calculate i.
-6, -2, 0, 1
Determine n so that 5*n**5 + 10*n**4 - 15*n**3 - 40*n**2 - 20*n = 0.
-2, -1, 0, 2
Factor 2*q**3 - 14*q**2/5 + 4*q/5.
2*q*(q - 1)*(5*q - 2)/5
Factor -2*r**2/3 + 2*r/3 + 8.
-2*(r - 4)*(r + 3)/3
Factor 2*l**2/13 + 534*l/13 - 536/13.
2*(l - 1)*(l + 268)/13
Factor -4*h**4/5 + 108*h**3/5 + 1056*h**2/5 + 448*h.
-4*h*(h - 35)*(h + 4)**2/5
Let 5*m**5 + 13*m**4 - 41*m**3 - 121*m**2 - 36*m + 36 = 0. Calculate m.
-3, -2, -1, 2/5, 3
Factor 2*c**3/3 - 46*c**2.
2*c**2*(c - 69)/3
Find w, given that 3*w**2 - 369*w - 1920 = 0.
-5, 128
Factor 2*b**5/3 + 14*b**4 + 148*b**3/3 + 212*b**2/3 + 46*b + 34/3.
2*(b + 1)**4*(b + 17)/3
Find c, given that -3*c**2 - 9*c - 6 = 0.
-2, -1
Factor -f**5 + 28*f**4 - 258*f**3 + 836*f**2 - 605*f.
-f*(f - 11)**2*(f - 5)*(f - 1)
Factor 2*n**2/5 + 14*n + 192/5.
2*(n + 3)*(n + 32)/5
Factor 4*d**2 + 252*d + 720.
4*(d + 3)*(d + 60)
Factor 2*h**2/7 + 398*h/7 + 788/7.
2*(h + 2)*(h + 197)/7
Let -45*b**5 - 163*b**4 + 92*b**3 + 640*b**2 + 352*b + 48 = 0. What is b?
-3, -2, -2/5, -2/9, 2
Factor -2*f**2/11 + 2498*f/11 - 4988/11.
-2*(f - 1247)*(f - 2)/11
Factor 5*h**4 - 480*h**3 + 10530*h**2 + 182520*h - 6228495.
5*(h - 39)**3*(h + 21)
Factor -m**2 + 310*m/3 - 103/3.
-(m - 103)*(3*m - 1)/3
Find m such that -2*m**4 + 200*m**3 + 830*m**2 + 220*m - 1248 = 0.
-3, -2, 1, 104
Let 4*t**3 - 52*t + 48 = 0. What is t?
-4, 1, 3
Factor r**2/6 + 2*r/3 + 2/3.
(r + 2)**2/6
Factor -w**4/2 - 21*w**3 - 441*w**2/2.
-w**2*(w + 21)**2/2
Factor 2*f**3/13 + 40*f**2 + 34314*f/13 + 66564/13.
2*(f + 2)*(f + 129)**2/13
Find a such that 3*a**5 - 21*a**4 + 21*a**3 + 69*a**2 - 24*a - 48 = 0.
-1, 1, 4
Factor 3*n**5/2 - 3*n**4 + 3*n**2 - 3*n/2.
3*n*(n - 1)**3*(n + 1)/2
Find t, given that -5*t**5 - 35*t**4 + 330*t**3 + 1760*t**2 - 4480*t = 0.
-8, 0, 2, 7
Factor -n**3/4 - 3*n**2/4 - n/2.
-n*(n + 1)*(n + 2)/4
Factor -14*p**3 - 6514*p**2 + 4664*p + 1864.
-2*(p - 1)*(p + 466)*(7*p + 2)
Solve 22*j**4 - 136*j**3 + 214*j**2 + 84*j - 288 = 0 for j.
-1, 2, 24/11, 3
Factor 3*m**4 - 105*m**3 - 1803*m**2 - 3279*m - 1584.
3*(m - 48)*(m + 1)**2*(m + 11)
Factor -a**3 + 9*a**2 + 10*a.
-a*(a - 10)*(a + 1)
Factor -3*a**2 - 420*a.
-3*a*(a + 140)
Find g such that 2*g**2 - 1044*g - 1046 = 0.
-1, 523
Find q, given that 215*q**3 - 855*q**2 + 625*q + 15 = 0.
-1/43, 1, 3
Factor -s**2 - 8954*s - 20043529.
-(s + 4477)**2
Solve 4*a**3 + 1608*a**2 + 161604*a = 0.
-201, 0
Factor -5*q**3 - 45*q**2 - 100*q.
-5*q*(q + 4)*(q + 5)
Find k, given that 9*k**2/4 - 1221*k/2 - 408 = 0.
-2/3, 272
Suppose 3*k**2 + 54*k + 51 = 0. What is k?
-17, -1
Let -4*n**3/5 - 104*n**2/5 - 676*n/5 = 0. Calculate n.
-13, 0
Let -3*n**2 + 35328*n - 104005632 = 0. What is n?
5888
What is h in 3*h**4 + 12*h**3 + 6*h**2 - 12*h - 9 = 0?
-3, -1, 1
Factor -2*u**2/3 - 34*u/3 + 76/3.
-2*(u - 2)*(u + 19)/3
Solve -2*b**3/7 - 2*b**2 + 16*b/7 = 0 for b.
-8, 0, 1
Factor -2*r**2 + 88*r + 600.
-2*(r - 50)*(r + 6)
Let -20*h**4 - 176*h**3 + 1344*h**2/5 + 1472*h/5 + 64 = 0. What is h?
-10, -2/5, 2
Suppose 5*d**3 - 50*d**2 - 55*d = 0. What is d?
-1, 0, 11
What is k in -2*k**2/9 + 116*k/9 + 122/3 = 0?
-3, 61
Solve 5*t**5/8 + 17*t**4/2 + 39*t**3 + 257*t**2/4 + 115*t/8 - 75/4 = 0.
-5, -3, -1, 2/5
Solve -20*j**4 - 88*j**3 - 80*j**2 + 24*j + 36 = 0 for j.
-3, -1, 3/5
Factor f**3/3 - f**2 - 3*f - 5/3.
(f - 5)*(f + 1)**2/3
Factor -3*a**3 - 774*a**2 - 765*a + 1542.
-3*(a - 1)*(a + 2)*(a + 257)
Factor -118*q**2 + 116*q + 2.
-2*(q - 1)*(59*q + 1)
Let -3*z**2/5 + 54*z - 1215 = 0. What is z?
45
Factor -j**2/5 + 78*j/5 - 1521/5.
-(j - 39)**2/5
Factor -30*b**3 + 55*b**2 + 200*b + 115.
-5*(b + 1)**2*(6*b - 23)
Factor 3*c**3 + 108*c**2 + 972*c.
3*c*(c + 18)**2
Factor -4*k**2 - 1664*k + 1668.
-4*(k - 1)*(k + 417)
Factor -5*m**5/2 + 15*m**4 - 30*m**3 + 20*m**2.
-5*m**2*(m - 2)**3/2
Factor x**4 - 12*x**3 - 27*x**2 - 14*x.
x*(x - 14)*(x + 1)**2
Solve -6*c**3 - 82*c**2 - 116*c + 48 = 0.
-12, -2, 1/3
What is h in -2*h**5 - 454*h**4 + 1838*h**3 - 2306*h**2 + 924*h = 0?
-231, 0, 1, 2
Find w such that 3*w**4 + 477*w**3 + 1410*w**2 + 936*w = 0.
-156, -2, -1, 0
Let 2*v**2/3 - 12*v + 54 = 0. What is v?
9
Factor -5*d**3/12 - d**2/3 + 5*d/3 + 4/3.
-(d - 2)*(d + 2)*(5*d + 4)/12
Factor -2*g**5/3 - 6*g**4 - 10*g**3 + 50*g**2/3.
-2*g**2*(g - 1)*(g + 5)**2/3
Factor g**2/5 - 6*g.
g*(g - 30)/5
Solve 15*i**5 - 1164*i**4 + 672*i**3 + 1626*i**2 - 687*i - 462 = 0 for i.
-1, -2/5, 1, 77
Factor -2*p**4 - 30*p**3 + 278*p**2 - 642*p + 396.
-2*(p - 3)**2*(p - 1)*(p + 22)
Let 100*b**2 + 280*b + 196 = 0. Calculate b.
-7/5
Factor v**2 + 1430*v + 511225.
(v + 715)**2
Factor 5*x**3 + 490*x**2 + 5340*x + 15480.
5*(x + 6)**2*(x + 86)
Factor p**2 - 48*p + 576.
(p - 24)**2
Let 32*t**4/5 - 8304*t**3/5 + 12402*t**2/5 - 4646*t/5 + 516/5 = 0. What is t?
1/4, 1, 258
Solve 2*i**5/3 + 52*i**4/3 + 280*i**3/3 - 784*i**2/3 = 0 for i.
-14, 0, 2
Determine u, given that -4*u**5 + 76*u**4 - 92*u**3 - 2956*u**2 + 96*u + 2880 = 0.
-5, -1, 1, 12
Solve 2*u**4/3 - 49*u**3 + 68*u**2/3 + 121*u + 146/3 = 0 for u.
-1, -1/2, 2, 73
Determine a so that 4*a**3 + 4236*a**2 + 8460*a + 4228 = 0.
-1057, -1
Factor l**2/2 - 23*l/2 + 11.
(l - 22)*(l - 1)/2
What is s in -5*s**2/4 - 105*s/2 = 0?
-42, 0
Factor 2*r**3/13 + 8*r**2/13 - 64*r/13.
2*r*(r - 4)*(r + 8)/13
Suppose c**2/2 - 130*c + 259/2 = 0. What is c?
1, 259
What is f in -2*f**4/3 + 8*f**3 + 2*f**2 - 68*f/3 - 16 = 0?
-1, 2, 12
Factor -s**4 - 13*s**3 + 29*s**2 - 15*s.
-s*(s - 1)**2*(s + 15)
Factor 12*h**2 - 7724*h - 2576.
4*(h - 644)*(3*h + 1)
Factor 13*z**5 + 37*z**4 + 33*z**3 + 7*z**2 - 2*z.
z*(z + 1)**3*(13*z - 2)
Let 3*g**2 - 1401*g + 2790 = 0. Calculate g.
2, 465
Factor -v**2/9 + 8*v/9 + 128/9.
-(v - 16)*(v + 8)/9
Let 2*i**4/9 - 8*i**3 - 76*i**2/9 + 8*i + 74/9 = 0. Calculate i.
-1, 1, 37
Solve -q**2 - 85*q + 174 = 0 for q.
-87, 2
Factor 2*r**3/7 - 32*r**2/7 - 152*r/7 - 160/7.
2*(r - 20)*(r + 2)**2/7
Factor 2*q**4/11 + 8*q**3/11 - 24*q**2/11.
2*q**2*(q - 2)*(q + 6)/11
Factor 5*y**2 - 40*y - 900.
5*(y - 18)*(y + 10)
Solve -2*q**2/9 - 220*q - 54450 = 0.
-495
Find z such that -3*z**4 - 1642*z**3 - 227395*z**2 - 741472*z - 221952 = 0.
-272, -3, -1/3
Factor -v**3/5 + 12*v**2/5 + v/5 - 12/5.
-(v - 12)*(v - 1)*(v + 1)/5
Solve -6*y**5 + 76*y**4 - 306*y**3 + 532*y**2 - 408*y + 112 = 0 for y.
2/3, 1, 2, 7
Factor g**2/5 + 158*g/5 + 6241/5.
(g + 79)**2/5
Find c such that 20*c**3 + 7240*c**2 + 7225*c + 1805 = 0.
-361, -1/2
Factor 3*l**4 + 63*l**3 - 36*l**2 - 708*l + 1008.
3*(l - 2)**2*(l + 4)*(l + 21)
Suppose -243*d**5 - 6069*d**4 - 55983*d**3 - 224847*d**2 - 32781