*v - 2)*(5*v + 106)/11
Determine q so that 8*q**5/3 + 26*q**4/3 - 22*q**3 - 78*q**2 - 18*q = 0.
-3, -1/4, 0, 3
Find d, given that -3*d**2/2 - 6744*d + 13491/2 = 0.
-4497, 1
Let 2*u**3/15 - 38*u**2/15 + 42*u/5 - 6 = 0. Calculate u.
1, 3, 15
What is v in -3*v**2 + 654*v - 5040 = 0?
8, 210
Find s such that 3*s**3 + 3*s**2 - 18*s = 0.
-3, 0, 2
Factor -q**3 - 1794*q**2 - 1072812*q - 213847192.
-(q + 598)**3
Factor -2*o**2/9 + 350*o/9 + 356/3.
-2*(o - 178)*(o + 3)/9
Factor -3*t**2 + 18*t - 15.
-3*(t - 5)*(t - 1)
Factor q**4/5 - 5*q**3 - 84*q**2/5.
q**2*(q - 28)*(q + 3)/5
Factor 3*g**3/5 - 144*g**2/5 + 108*g - 528/5.
3*(g - 44)*(g - 2)**2/5
Let -2*f**5/5 - 2*f**4 - 12*f**3/5 = 0. Calculate f.
-3, -2, 0
Factor 2*r**5/5 + 6*r**4/5 + 4*r**3/5.
2*r**3*(r + 1)*(r + 2)/5
What is u in 2*u**3/3 - 252*u**2 - 254*u + 1516/3 = 0?
-2, 1, 379
Factor 3*j**3 + 102*j**2 - 471*j - 570.
3*(j - 5)*(j + 1)*(j + 38)
Factor -2*k**3/3 + 4*k**2/3 + 2*k/3 - 4/3.
-2*(k - 2)*(k - 1)*(k + 1)/3
What is w in -w**3/3 + 6*w**2 - 32*w + 128/3 = 0?
2, 8
Factor -2*z**5 - 14*z**4 + 22*z**3 + 38*z**2 - 76*z + 32.
-2*(z - 1)**3*(z + 2)*(z + 8)
Find j such that -3*j**4/2 - 2*j**3 + 7*j**2/2 + 2*j - 2 = 0.
-2, -1, 2/3, 1
Factor -3*p**5/4 + 33*p**4/4.
-3*p**4*(p - 11)/4
Solve 7*x**5/4 - 5*x**4 - 3*x**3/4 + 7*x**2 + x = 0.
-1, -1/7, 0, 2
Solve s**5/2 + 7*s**4 - 107*s**3/2 + 124*s**2 - 118*s + 40 = 0 for s.
-20, 1, 2
Determine q, given that 2*q**3/15 - 9224*q**2/15 = 0.
0, 4612
Factor -2*m**3/3 + 24*m**2 - 88*m + 256/3.
-2*(m - 32)*(m - 2)**2/3
Suppose -2*x**4/9 - 8*x**3/9 + 2*x**2/3 + 4*x = 0. Calculate x.
-3, 0, 2
What is v in -3*v**4 + 24*v**3 - 54*v**2 + 81 = 0?
-1, 3
Factor r**5 - 5*r**4 - 17*r**3 + 125*r**2 - 184*r + 80.
(r - 4)**2*(r - 1)**2*(r + 5)
Factor -28*b**5 - 44*b**4 - 16*b**3.
-4*b**3*(b + 1)*(7*b + 4)
Let -2*y**5 + 58*y**4 + 186*y**3 + 190*y**2 + 64*y = 0. Calculate y.
-1, 0, 32
Factor 4*c**2 + 152*c - 1472.
4*(c - 8)*(c + 46)
Determine u, given that 54*u**4/5 - 5532*u**3/5 + 488*u**2 + 816*u/5 = 0.
-2/9, 0, 2/3, 102
Find a, given that a**3/5 - 14*a**2/5 + 64*a/5 - 96/5 = 0.
4, 6
Factor -5*h**3 + 65*h - 60.
-5*(h - 3)*(h - 1)*(h + 4)
Find s, given that s**4/9 - 29*s**3/9 + 50*s**2/3 - 284*s/9 + 184/9 = 0.
2, 23
Suppose 2*q**3/13 + 16*q**2 - 424*q/13 = 0. What is q?
-106, 0, 2
Factor -2*y**2/7 - 8664*y/7 - 9383112/7.
-2*(y + 2166)**2/7
Let -z**5 - 5*z**4 + 2*z**3 + 10*z**2 - z - 5 = 0. Calculate z.
-5, -1, 1
Suppose 2*f**3/3 + 332*f**2/3 + 110*f = 0. What is f?
-165, -1, 0
Factor -2*y**2 + 28*y - 80.
-2*(y - 10)*(y - 4)
Factor -w**3 + 57*w**2 - 111*w + 55.
-(w - 55)*(w - 1)**2
Factor 2*o**2 + 154*o/5.
2*o*(5*o + 77)/5
Solve 4*n**3/7 + 22*n**2/7 - 86*n/7 - 48/7 = 0 for n.
-8, -1/2, 3
Determine q, given that -2*q**2 - 20*q + 1750 = 0.
-35, 25
Find y, given that -152*y**4 - 5342*y**3/3 + 1556*y**2/3 - 16*y = 0.
-12, 0, 2/57, 1/4
Factor 2*b**4 - 50*b**3 - 224*b**2 - 232*b.
2*b*(b - 29)*(b + 2)**2
Factor 2*j**2 + 2758*j + 2756.
2*(j + 1)*(j + 1378)
Factor -3*l**3/4 + 1557*l**2 - 3226095*l/4 - 3238563/2.
-3*(l - 1039)**2*(l + 2)/4
Factor -u**5/3 - 2*u**4/3.
-u**4*(u + 2)/3
Factor 2*b**2 + 42*b + 76.
2*(b + 2)*(b + 19)
Factor -5*k**2 + 11000*k - 6050000.
-5*(k - 1100)**2
Determine w so that 8*w**5/15 + 2*w**4/5 - 22*w**3/5 - 16*w**2/3 + 8*w/5 = 0.
-2, 0, 1/4, 3
Solve 2*r**3 - 252*r**2 + 10584*r - 148176 = 0.
42
Factor 2*s**4/3 + 38*s**3/3 + 76*s**2 + 144*s.
2*s*(s + 4)*(s + 6)*(s + 9)/3
Suppose -2*v**4 - 32*v**3 - 174*v**2 - 360*v - 216 = 0. What is v?
-6, -3, -1
Factor 2*l**4 + 44*l**3 + 360*l**2 + 1300*l + 1750.
2*(l + 5)**3*(l + 7)
Determine r so that 3*r**2/5 + 3012*r + 3780060 = 0.
-2510
Find o such that o**2 + o - 2 = 0.
-2, 1
Find j such that 3*j**2/2 + 15*j + 63/2 = 0.
-7, -3
Find q, given that 2*q**3 - 1008*q**2 + 128010*q - 252004 = 0.
2, 251
Factor -a**3 - 39*a**2 - 108*a.
-a*(a + 3)*(a + 36)
Let 3*s**2 + 159*s - 1062 = 0. What is s?
-59, 6
Factor -x**3 + 127*x**2 - 124*x - 252.
-(x - 126)*(x - 2)*(x + 1)
Solve 2*f**3 - 50*f**2 + 328*f - 640 = 0 for f.
4, 5, 16
Factor 5*y**5 - 15*y**4 - 80*y**3 - 60*y**2.
5*y**2*(y - 6)*(y + 1)*(y + 2)
Suppose -48*s**3 + 26*s**2/5 + 78*s/5 - 4 = 0. What is s?
-5/8, 1/3, 2/5
Factor -2*f**2/3 - 310*f + 3752/3.
-2*(f - 4)*(f + 469)/3
Determine y, given that 4*y**3 - 4*y**2 - 20*y - 12 = 0.
-1, 3
Factor 5*l**2 - 335*l + 330.
5*(l - 66)*(l - 1)
Factor j**2 - 318*j + 25281.
(j - 159)**2
Factor f**4 + 257*f**3 - 259*f**2 - 257*f + 258.
(f - 1)**2*(f + 1)*(f + 258)
Let i**5/3 - i**4 - 35*i**3/3 - 15*i**2 + 34*i/3 + 16 = 0. What is i?
-3, -2, -1, 1, 8
Factor 5*b**2 + 625*b - 1270.
5*(b - 2)*(b + 127)
Determine t, given that 2*t**3/9 - 4*t**2 + 58*t/9 + 32/3 = 0.
-1, 3, 16
Solve -28*l**4/3 + 1084*l**3/3 - 3928*l**2 + 7920*l + 2592 = 0.
-2/7, 3, 18
Let -2*i**4/7 + 908*i**3/7 - 104856*i**2/7 + 407700*i/7 - 303750/7 = 0. Calculate i.
1, 3, 225
Let 5*o**3/6 - 3395*o**2 + 4610410*o - 6260936780/3 = 0. What is o?
1358
Determine v, given that -2*v**4 + 5140*v**3 - 4406688*v**2 + 1263236864*v - 2508888064 = 0.
2, 856
Factor -3*p**3 + 585*p**2 - 27000*p - 150000.
-3*(p - 100)**2*(p + 5)
Factor -4*w**2 + 10408*w - 20800.
-4*(w - 2600)*(w - 2)
Find h such that -h**2 + 60*h - 900 = 0.
30
Factor f**2/4 + 2661*f/4 + 665.
(f + 1)*(f + 2660)/4
Suppose u**3/2 + 41*u**2/2 + 20*u = 0. What is u?
-40, -1, 0
Solve -t**2 - 7126*t - 12694969 = 0.
-3563
Factor -3*u**3 - 15*u**2 - 24*u - 12.
-3*(u + 1)*(u + 2)**2
Find z such that 2*z**2 + 606*z = 0.
-303, 0
Factor 2*k**2/7 - 134*k/7 + 132/7.
2*(k - 66)*(k - 1)/7
Factor -t**3/7 + 2*t**2/7 + 3*t/7.
-t*(t - 3)*(t + 1)/7
Find z, given that 3*z**2/4 + 47*z/2 + 31/4 = 0.
-31, -1/3
Find m such that -m**4/7 - m**3 - 5*m**2/7 + m + 6/7 = 0.
-6, -1, 1
Solve 3*h**4/2 + 1631*h**3 + 5422*h**2 + 2164*h - 4336 = 0 for h.
-1084, -2, 2/3
Factor -5*r**2 - 100*r - 180.
-5*(r + 2)*(r + 18)
Factor 27*f**3 + 1275*f**2 - 3768*f - 900.
3*(f - 3)*(f + 50)*(9*f + 2)
What is l in -2*l**4/9 + 82*l**3/9 - 266*l**2/3 - 98*l = 0?
-1, 0, 21
Find l, given that 4*l**2 - 2036*l - 2040 = 0.
-1, 510
Factor 2*m**3/7 - 8*m**2/7 + 10*m/7 - 4/7.
2*(m - 2)*(m - 1)**2/7
Factor y**4 + 16*y**3/3 + 5*y**2/3.
y**2*(y + 5)*(3*y + 1)/3
Suppose -2*i**2 - 44*i - 240 = 0. Calculate i.
-12, -10
Let -5*n**3 + 615*n**2 - 5775*n + 14125 = 0. What is n?
5, 113
Factor -4*r**3 + 68*r**2 - 64*r.
-4*r*(r - 16)*(r - 1)
Let -5*o**2 - 80*o + 1300 = 0. Calculate o.
-26, 10
Solve -3*n**5 + 12*n**4 + 45*n**3 - 54*n**2 = 0 for n.
-3, 0, 1, 6
Let t**2 + 2*t + 1 = 0. Calculate t.
-1
Factor 3*z**2 + 27*z.
3*z*(z + 9)
Suppose p**3/3 + p**2/3 - 4*p = 0. Calculate p.
-4, 0, 3
Factor a**3/2 + 5*a**2/2.
a**2*(a + 5)/2
Factor -r**2/7 - 4*r/7 + 621/7.
-(r - 23)*(r + 27)/7
Let -4*f**3 + 208*f**2 - 3344*f + 15488 = 0. What is f?
8, 22
What is g in -2*g**4/5 + 14*g**3/5 - 6*g**2 + 18*g/5 = 0?
0, 1, 3
Factor -m**2/3 + 490*m/3 - 60025/3.
-(m - 245)**2/3
Determine o, given that 5*o**2 + 6680*o = 0.
-1336, 0
Solve -4*a**5/5 + 171*a**4/5 + 583*a**3/5 + 683*a**2/5 + 321*a/5 + 46/5 = 0 for a.
-1, -1/4, 46
Let -g**5/4 + g**4/2 + 9*g**3/2 + 8*g**2 + 23*g/4 + 3/2 = 0. What is g?
-1, 6
Factor -p**3/4 - 5*p**2/2 - 8*p - 8.
-(p + 2)*(p + 4)**2/4
What is w in 3*w**2/2 + 111*w + 4107/2 = 0?
-37
Factor 2*t**4/3 - 4*t**3/3 - 16*t**2 + 100*t/3 - 50/3.
2*(t - 5)*(t - 1)**2*(t + 5)/3
Factor 4*d**3 + 40*d**2 + 92*d + 56.
4*(d + 1)*(d + 2)*(d + 7)
Find w such that -w**3 + 240*w**2 - 14868*w + 55696 = 0.
4, 118
Let 75*k**3 - 610*k**2 + 1280*k - 160 = 0. Calculate k.
2/15, 4
Determine z, given that -2*z**5/7 + 44*z**4/7 - 44*z**3 + 96*z**2 + 54*z/7 - 972/7 = 0.
-1, 2, 3, 9
Factor -3*j**3 + 108*j**2 + 351*j.
-3*j*(j - 39)*(j + 3)
Factor -4*d**4 + 12*d**3 + 36*d**2 - 92*d + 48.
-4*(d - 4)*(d - 1)**2*(d + 3)
Solve -21*c**5/4 + 87*c**4/2 + 183*c**3/4 - 111*c**2 + 27*c = 0.
-2, 0, 2/7, 1, 9
Factor -2*h**5/3 - 78*h**4 - 2464*h**3 - 31360*h**2/3.
-2*h**2*(h + 5)*(h + 56)**2/3
Factor 10*b**4/3 - 28*b**3/3 + 6*b**2.
2*b**2*(b - 1)*(5*b - 9)/3
Solve 5*u**3 + 1195*u**2 + 70800*u - 72000 = 0.
-120, 1
Factor c**3 - 9*c**2/4 - 5*c/2 + 3/4.
(c - 3)*(c + 1)*(4*c - 1)/4
Suppose 5*c**2 - 40*c = 0. What is c?
0, 8
Let -l**4/4 + 2*l**3 + 9*l**2/4 = 0. Calculate l.
-1, 0, 9
Find d such that -20*d**3 + 9195*d**2 + 2300*d = 0.
-1/4, 0, 460
Dete