, given that 4*a**2 - 728*a + 3540 = 0.
5, 177
Factor -t**2/3 + 244*t/3 - 241.
-(t - 241)*(t - 3)/3
Solve -2*o**3 - 14*o**2 + 2*o + 14 = 0.
-7, -1, 1
Find z, given that 3*z**5/8 + 29*z**4/8 + 45*z**3/8 - 237*z**2/8 - 155*z/2 - 75/2 = 0.
-5, -2, -2/3, 3
Find o such that 2*o**5/3 - 206*o**4 - 620*o**3/3 = 0.
-1, 0, 310
Factor -q**3/2 - 17*q**2/2 + 2*q + 34.
-(q - 2)*(q + 2)*(q + 17)/2
Let 4*l**3/9 - 416*l**2/3 + 43264*l/3 - 4499456/9 = 0. What is l?
104
Find n, given that n**2 + 140*n + 4900 = 0.
-70
Let -x**5 + x**4 + 5*x**3 + 3*x**2 = 0. What is x?
-1, 0, 3
Find q, given that -10*q**3/7 + 12*q**2/7 + 22*q/7 = 0.
-1, 0, 11/5
Determine t, given that 2*t**2 - 406*t = 0.
0, 203
Factor -n**3 - 97*n**2 + 98*n.
-n*(n - 1)*(n + 98)
Factor 3*c**4 + 30*c**3 + 24*c**2 - 192*c.
3*c*(c - 2)*(c + 4)*(c + 8)
Determine j so that -14*j**4/3 + 10*j**3/3 + 32*j**2/3 + 8*j/3 = 0.
-1, -2/7, 0, 2
Factor -2*z**3/3 + 184*z**2/3 + 2*z/3 - 184/3.
-2*(z - 92)*(z - 1)*(z + 1)/3
Solve -4*z**3 + 120*z**2 + 124*z = 0 for z.
-1, 0, 31
Solve -4*j**2 - 984*j + 2988 = 0 for j.
-249, 3
Determine h, given that 21*h**3 + 30*h**2 - 3*h - 12 = 0.
-1, 4/7
Solve -4*c**3/3 + 301*c**2/3 - 371*c/3 + 74/3 = 0 for c.
1/4, 1, 74
Factor -2*d**3/3 - 84*d**2 + 170*d - 256/3.
-2*(d - 1)**2*(d + 128)/3
What is y in -y**2 + 4*y - 4 = 0?
2
Find q such that 2*q**2/13 + 258*q/13 - 1064/13 = 0.
-133, 4
Factor r**2/3 + 45*r - 136/3.
(r - 1)*(r + 136)/3
Factor 3*r**4 - 42*r**3 + 147*r**2.
3*r**2*(r - 7)**2
Solve r**5 - 17*r**4 - 60*r**3 - 4*r**2 + 80*r = 0.
-2, 0, 1, 20
Determine h so that 36*h**5 + 489*h**4 + 1332*h**3 + 351*h**2 - 708*h - 180 = 0.
-10, -3, -1, -1/4, 2/3
Factor 3*x**3 + 3336*x**2 - 6684*x.
3*x*(x - 2)*(x + 1114)
Suppose -2*l**2 - 148*l - 2738 = 0. Calculate l.
-37
Factor 2*b**2/3 - 152*b/3 - 158.
2*(b - 79)*(b + 3)/3
Factor -5*c**2 - 860*c - 36980.
-5*(c + 86)**2
Find q, given that 2*q**2 - 10*q + 8 = 0.
1, 4
Factor i**2/5 + 39*i/5 + 76.
(i + 19)*(i + 20)/5
Factor -6*g**2 - 424*g + 142.
-2*(g + 71)*(3*g - 1)
Factor -2*y**2 + 26*y + 228.
-2*(y - 19)*(y + 6)
Solve -2*n**5/9 + 8*n**4/9 + 46*n**3/9 - 12*n**2 - 24*n + 48 = 0.
-3, 2, 6
Factor -2*z**4 - 10*z**3 + 16*z**2 + 24*z.
-2*z*(z - 2)*(z + 1)*(z + 6)
Factor -q**4/5 + 8*q**3/5 + 33*q**2/5 + 4*q/5 - 44/5.
-(q - 11)*(q - 1)*(q + 2)**2/5
Suppose -2*s**2 + 188*s - 186 = 0. Calculate s.
1, 93
Solve -5*n**2/3 - 95*n/3 - 30 = 0 for n.
-18, -1
Find y, given that -y**2/7 + 934*y/7 - 218089/7 = 0.
467
Find y, given that -5*y**5/3 - 50*y**4 - 280*y**3/3 = 0.
-28, -2, 0
Factor 5*s**3 + 1500*s**2 + 2985*s + 1490.
5*(s + 1)**2*(s + 298)
Let -2*d**5/9 + 4*d**4/9 + 44*d**3/9 + 32*d**2/9 - 14*d/3 - 4 = 0. What is d?
-3, -1, 1, 6
Factor 2*m**4/5 + 28*m**3/5 + 144*m**2/5 + 324*m/5 + 54.
2*(m + 3)**3*(m + 5)/5
Factor 2*q**2 + 8*q - 64.
2*(q - 4)*(q + 8)
Factor b**3/8 + 15*b**2/8 + 75*b/8 + 125/8.
(b + 5)**3/8
Factor 39*r**4 + 159*r**3 + 129*r**2 + 9*r.
3*r*(r + 1)*(r + 3)*(13*r + 1)
Factor -4*s**5 + 32*s**3 - 64*s.
-4*s*(s - 2)**2*(s + 2)**2
Factor -4*w**5/5 + 232*w**4/5 + 96*w**3.
-4*w**3*(w - 60)*(w + 2)/5
Factor n**3/2 + 1115*n**2/2 - 2233*n/2 + 1117/2.
(n - 1)**2*(n + 1117)/2
Let 3*d**4 + 66*d**3 - 72*d**2 - 66*d + 69 = 0. Calculate d.
-23, -1, 1
Factor 3*f**4 - 921*f**3 - 927*f**2 + 921*f + 924.
3*(f - 308)*(f - 1)*(f + 1)**2
Factor -2*b**5 + 86*b**4 - 164*b**3 - 4*b**2 + 166*b - 82.
-2*(b - 41)*(b - 1)**3*(b + 1)
Suppose 2*j**3 - 1066*j**2 + 1064*j = 0. What is j?
0, 1, 532
Let 16*i**3 - 244*i**2 + 636*i - 144 = 0. Calculate i.
1/4, 3, 12
Factor 10*p**3 + 6574*p**2 + 2628*p.
2*p*(p + 657)*(5*p + 2)
Factor -3*l**2/2 - 33*l/2 + 63.
-3*(l - 3)*(l + 14)/2
Solve -3*r**5 + 26*r**4 + 252*r**3 + 474*r**2 + 311*r + 60 = 0.
-4, -1, -1/3, 15
Factor 2*u**3 - 54*u**2 + 372*u - 544.
2*(u - 17)*(u - 8)*(u - 2)
Determine g so that -2*g**4/7 + 8*g**3/7 - 2*g**2/7 - 12*g/7 = 0.
-1, 0, 2, 3
Solve 4*y**4 - 76*y**3 + 68*y**2 + 76*y - 72 = 0.
-1, 1, 18
Factor -t**3/3 + 211*t**2/3 - 620*t/3 - 832/3.
-(t - 208)*(t - 4)*(t + 1)/3
Suppose -2*p**4/11 + 62*p**3/11 + 70*p**2 + 2050*p/11 = 0. Calculate p.
-5, 0, 41
Solve -4*h**4 - 3794*h**3 - 896802*h**2 + 1351850*h - 451250 = 0.
-475, 1/2, 1
Let 4*j**3 - 5840*j**2 + 11668*j - 5832 = 0. What is j?
1, 1458
Find y such that 4*y**2 + 44*y = 0.
-11, 0
Factor 3*o**3/7 + 6*o**2/7 - 108*o/7 - 216/7.
3*(o - 6)*(o + 2)*(o + 6)/7
Factor 2*t**3/11 + 2*t**2/11 - 32*t/11 - 32/11.
2*(t - 4)*(t + 1)*(t + 4)/11
Factor -m**2/3 - 2504*m - 4702512.
-(m + 3756)**2/3
Factor -s**4/3 + 3*s**3 - 10*s**2/3 - 12*s + 56/3.
-(s - 7)*(s - 2)**2*(s + 2)/3
Factor -49*j**4 + 371*j**3 - 690*j**2 + 308*j - 40.
-(j - 5)*(j - 2)*(7*j - 2)**2
Factor -5*b**2 - 45*b + 110.
-5*(b - 2)*(b + 11)
Solve -3*d**4 - 30*d**3 - 57*d**2 + 90*d = 0.
-6, -5, 0, 1
Solve -i**4 + 27*i**3 - 138*i**2 + 260*i - 168 = 0.
2, 21
Factor -4*w**3 + 28*w**2 + 84*w - 108.
-4*(w - 9)*(w - 1)*(w + 3)
Factor h**5/3 - 11*h**4 + 85*h**3 + 289*h**2/3.
h**2*(h - 17)**2*(h + 1)/3
Determine a, given that 3*a**3 - 39*a**2 + 36*a = 0.
0, 1, 12
Let -2*y**2/5 + 1752*y/5 - 350 = 0. Calculate y.
1, 875
Factor 2*a**3/11 - 60*a**2/11 + 114*a/11 - 56/11.
2*(a - 28)*(a - 1)**2/11
Factor -2*f**4/5 + 8*f**3/5.
-2*f**3*(f - 4)/5
Factor 4*g**3 + 104*g**2 + 256*g - 6144.
4*(g - 6)*(g + 16)**2
Suppose 3*u**3 + 9*u**2 - 27*u - 81 = 0. What is u?
-3, 3
Factor 3*f**5 - 277*f**4 + 4791*f**3 - 29463*f**2 + 52234*f + 49392.
(f - 72)*(f - 7)**3*(3*f + 2)
Suppose 4*c**2/5 - 28*c/5 - 32/5 = 0. Calculate c.
-1, 8
Solve 4*u**5 - 60*u**4 + 352*u**3 - 1008*u**2 + 1408*u - 768 = 0.
2, 3, 4
Factor 5*y**3 + 320*y**2 + 5120*y.
5*y*(y + 32)**2
Factor -h**2 - 3*h + 4.
-(h - 1)*(h + 4)
Let -2*c**2 - 3696*c - 1707552 = 0. Calculate c.
-924
What is i in i**2/8 + 11*i/8 + 5/4 = 0?
-10, -1
Determine o so that 2*o**2/5 - 564*o/5 = 0.
0, 282
Solve -5*f**2 - 565*f = 0.
-113, 0
Solve j**2/9 - 131*j/3 - 394/9 = 0 for j.
-1, 394
Suppose -3*s**2/2 - 303*s/2 + 468 = 0. Calculate s.
-104, 3
Factor -4*z**3 - 2852*z**2 + 2855*z - 714.
-(z + 714)*(2*z - 1)**2
Factor 3*l**3/2 - 6*l**2 - 3*l/2 + 6.
3*(l - 4)*(l - 1)*(l + 1)/2
Solve 2*d**3/7 + 4*d**2/7 - 16*d/7 = 0.
-4, 0, 2
Solve -2*x**4/5 + 18*x**3/5 + 34*x**2/5 - 378*x/5 - 392/5 = 0 for x.
-4, -1, 7
Factor 2*b**3 - 16*b**2 - 198*b - 180.
2*(b - 15)*(b + 1)*(b + 6)
Factor -8*x**3/19 + 58*x**2/19 - 14*x/19.
-2*x*(x - 7)*(4*x - 1)/19
Factor -2*h**3/9 - 22*h**2/9 - 46*h/9 + 70/9.
-2*(h - 1)*(h + 5)*(h + 7)/9
Factor -2*j**4/5 - 22*j**3/15 + 8*j**2/15.
-2*j**2*(j + 4)*(3*j - 1)/15
Determine a so that 3*a**5/4 + 237*a**4/4 + 6489*a**3/4 + 66675*a**2/4 + 30000*a - 140625 = 0.
-25, -6, 2
Find m such that 2*m**3/3 - 10*m**2/3 + 4*m = 0.
0, 2, 3
Factor -3*s**2 + 804*s - 53868.
-3*(s - 134)**2
Solve -3*f**5 - 60*f**4 + 276*f**3 - 288*f**2 = 0 for f.
-24, 0, 2
Factor 5*d**3/2 - 119*d**2/4 - 71*d/2 - 13/4.
(d - 13)*(d + 1)*(10*d + 1)/4
Factor f**3/4 - 221*f**2/2 + 872*f - 1736.
(f - 434)*(f - 4)**2/4
What is q in -4*q**2 - 28*q + 312 = 0?
-13, 6
Factor -15*d**2/2 - 2409*d - 963/2.
-3*(d + 321)*(5*d + 1)/2
Factor 3*s**4/5 + 84*s**3/5 - 87*s**2/5.
3*s**2*(s - 1)*(s + 29)/5
Let -4*c**5 + 864*c**4 + 4384*c**3 + 7928*c**2 + 6180*c + 1768 = 0. What is c?
-2, -1, 221
Find k such that 9*k**5 + 87*k**4 - 558*k**3 - 84*k**2 + 1224*k + 672 = 0.
-14, -1, -2/3, 2, 4
Solve 8*l**5 - 62*l**4 + 128*l**3 - 92*l**2 + 8*l + 10 = 0.
-1/4, 1, 5
Factor -2*s**3 + 42*s**2 + 2*s - 42.
-2*(s - 21)*(s - 1)*(s + 1)
Suppose 4*h**2 + 4*h = 0. What is h?
-1, 0
Factor -4*i**3 - 144*i**2 + 468*i.
-4*i*(i - 3)*(i + 39)
What is p in p**5 - 177*p**4/5 + 48*p**3 - 68*p**2/5 = 0?
0, 2/5, 1, 34
Determine v so that -4*v**2 + 56*v - 96 = 0.
2, 12
Factor 7*u**3/6 - 163*u**2/6 - 4436*u/3 + 1274/3.
(u - 49)*(u + 26)*(7*u - 2)/6
Factor i**3 + 54*i**2 + 897*i + 4232.
(i + 8)*(i + 23)**2
Factor -3*k**2/4 + 27*k - 609/4.
-3*(k - 29)*(k - 7)/4
Factor -3*r**3 + 33*r**2 - 57*r + 27.
-3*(r - 9)*(r - 1)**2
Let -5*s**4 + 20*s**3 - 15*s**2 - 20*s + 20 = 0. What is s?
-1, 1, 2
Determine v, given that v**3/10 + 13*v**2/10 - 8*v/5 - 14/5 = 0.
-14, -1, 2
Factor 4*v**5 + 28*v**4 + 72*v**3 + 88*v**2 + 52*v + 12.
4*(v + 1)**4*(v + 3)
Solve -8*m**5 + 28*m**4 + 924*m**3 - 6124*m**2 + 7532*m - 2352 = 0.
-12, 1/2, 1, 7
Factor -3*f**2/8 - 123*f/8 - 135/2.
-3*(f + 5)*(f + 36)/8
S