*3 + 621*h**2 - 2520*h + 2532 = 0. What is h?
-211, 2
Find y such that 17*y**2/7 - 62*y/7 + 33/7 = 0.
11/17, 3
Factor 4*y**2 - 52*y - 56.
4*(y - 14)*(y + 1)
Factor 2*l**3/7 + 52*l**2/7.
2*l**2*(l + 26)/7
Factor 3*s**2/2 + 31*s/6 + 11/3.
(s + 1)*(9*s + 22)/6
Find l such that -15*l**5 + 5*l**4 + 15*l**3 - 5*l**2 = 0.
-1, 0, 1/3, 1
Let -2*c**3/7 - 898*c**2/7 + 1040*c - 14624/7 = 0. What is c?
-457, 4
Determine i so that 3*i**5 + 162*i**4/7 + 288*i**3/7 - 96*i**2/7 = 0.
-4, 0, 2/7
Find z, given that 225*z**5/7 + 195*z**4/7 - 1089*z**3/7 + 135*z**2 - 312*z/7 + 36/7 = 0.
-3, 1/3, 2/5, 1
Factor 25*z**2 + 1255*z + 250.
5*(z + 50)*(5*z + 1)
Factor -14*f**2/5 - 3386*f - 4836/5.
-2*(f + 1209)*(7*f + 2)/5
Determine l so that -3*l**2 + 132*l - 480 = 0.
4, 40
Factor u**2/5 + 202*u/5 - 203/5.
(u - 1)*(u + 203)/5
Determine a so that -2*a**3/5 - 738*a**2/5 + 1482*a/5 - 742/5 = 0.
-371, 1
Determine f so that 4*f**3 + 1164*f**2 + 3456*f = 0.
-288, -3, 0
Factor h**5/5 - 107*h**4/5 + 4576*h**3/5 - 97768*h**2/5 + 1043504*h/5 - 4450864/5.
(h - 22)**4*(h - 19)/5
Factor 2*r**3/3 - 6*r**2 + 40*r/3 - 8.
2*(r - 6)*(r - 2)*(r - 1)/3
Factor 4*l**3 - 148*l**2 - 1412*l - 1260.
4*(l - 45)*(l + 1)*(l + 7)
Suppose 5*n**4 + 200*n**3 - 855*n**2 + 1090*n - 440 = 0. Calculate n.
-44, 1, 2
Let t**2 - 1002*t + 251001 = 0. Calculate t.
501
Factor -596*m**2/3 - 530*m/3 + 22.
-2*(m + 1)*(298*m - 33)/3
Factor -2*o**4 - 118*o**3 + 366*o**2 - 370*o + 124.
-2*(o - 1)**3*(o + 62)
Factor 3*v**3 + 2187*v**2 - 4383*v + 2193.
3*(v - 1)**2*(v + 731)
Factor 729*u**5/8 + 243*u**4/8 - 189*u**3/4 + 25*u**2/2 - u.
u*(u + 1)*(9*u - 2)**3/8
What is g in -2*g**4 + 2*g**3 + 12*g**2 - 8*g - 16 = 0?
-2, -1, 2
What is l in -10*l**3/3 + 256*l**2/3 - 1586*l/3 - 676/3 = 0?
-2/5, 13
Factor 13*b**4/2 - 93*b**3/2 + 72*b**2 - 10*b.
b*(b - 5)*(b - 2)*(13*b - 2)/2
Find g such that 1444*g**3 - 8132*g**2 + 6300*g + 15876 = 0.
-1, 63/19
Factor d**2/9 + 59*d/9.
d*(d + 59)/9
Determine y, given that y**2/8 - 7*y/4 + 49/8 = 0.
7
Determine b, given that -5*b**3 + 2215*b**2 + 4445*b + 2225 = 0.
-1, 445
Factor -4*q**2/5 + 4*q/5 + 24/5.
-4*(q - 3)*(q + 2)/5
Factor -3*m**5/4 - 3*m**4/4.
-3*m**4*(m + 1)/4
Determine k so that 4*k**5 - 26*k**4 - 136*k**3 - 46*k**2 + 60*k = 0.
-3, -1, 0, 1/2, 10
Determine a so that -4*a**2 - 48*a - 80 = 0.
-10, -2
Factor -k**3/7 + 19*k**2/7 + 20*k/7.
-k*(k - 20)*(k + 1)/7
What is n in 36*n**4 - 384*n**3 - 164*n**2 + 336*n + 176 = 0?
-2/3, 1, 11
Factor -w**3/4 - 23*w**2/4 - 71*w/2 - 30.
-(w + 1)*(w + 10)*(w + 12)/4
Let 4*m**2 - 7900*m - 7904 = 0. What is m?
-1, 1976
Factor -c**4/7 + 192*c**3/7 - 9406*c**2/7 + 18240*c/7 - 9025/7.
-(c - 95)**2*(c - 1)**2/7
Find o such that 3*o**4 + 3*o**3 - 885*o**2 + 7125*o - 15750 = 0.
-21, 5, 10
Suppose -20*v**2 + 2155*v + 540 = 0. What is v?
-1/4, 108
Solve -4*f**4/7 - 416*f**3/7 - 9916*f**2/7 + 48816*f/7 + 58320/7 = 0.
-54, -1, 5
Solve -3*w**4 + 120*w**3/7 + 561*w**2/7 + 528*w/7 + 108/7 = 0 for w.
-2, -1, -2/7, 9
Solve 2*k**3/3 + 20*k**2/3 - 238*k/3 = 0.
-17, 0, 7
Suppose -2*g**4/15 + 4*g**3/15 = 0. What is g?
0, 2
Suppose -k**3/5 + 9*k**2/5 + 52*k/5 = 0. What is k?
-4, 0, 13
Factor a**4/5 - 572*a**3/5 + 122694*a**2/5 - 11696828*a/5 + 418161601/5.
(a - 143)**4/5
Find f, given that -405*f**3 + 296685*f**2 + 131920*f + 14660 = 0.
-2/9, 733
Suppose 3*j**4 - 10*j**3 + 9*j**2 - 2*j = 0. Calculate j.
0, 1/3, 1, 2
Factor 2*f**3 - 4*f**2 - 30*f + 72.
2*(f - 3)**2*(f + 4)
Factor 25*w**2 - 815*w - 330.
5*(w - 33)*(5*w + 2)
Let 3*q**4 - 18*q**3 - 3*q**2 + 18*q = 0. What is q?
-1, 0, 1, 6
Factor 4*c**2 - 6104*c + 2328676.
4*(c - 763)**2
Factor -4*u**4 - 44*u**3 - 180*u**2 - 324*u - 216.
-4*(u + 2)*(u + 3)**3
Let -5*m**2 + 5*m + 10 = 0. Calculate m.
-1, 2
Factor 2*j**3/7 + 30*j**2/7 + 64*j/7 - 96/7.
2*(j - 1)*(j + 4)*(j + 12)/7
Factor -5*p**2 + 280*p - 3920.
-5*(p - 28)**2
Solve 3*q**4 - 54*q**3 + 261*q**2 - 330*q = 0 for q.
0, 2, 5, 11
Solve -5*n**2 - 110*n - 600 = 0 for n.
-12, -10
Suppose -9*r**5/2 - 123*r**4/2 + 247*r**3 - 151*r**2 - 485*r/2 + 425/2 = 0. Calculate r.
-17, -1, 1, 5/3
Let 30*u**2 - 25*u - 5 = 0. Calculate u.
-1/6, 1
Factor o**3/9 + 32*o**2/3 - 11*o - 194/9.
(o - 2)*(o + 1)*(o + 97)/9
Let 18*x**3/13 - 148*x**2/13 - 10*x + 36/13 = 0. What is x?
-1, 2/9, 9
Factor 2*h**3 + 10*h**2 - 48*h.
2*h*(h - 3)*(h + 8)
Suppose 4*j**4 + 76*j**3/7 - 948*j**2/7 - 716*j/7 + 40 = 0. What is j?
-7, -1, 2/7, 5
What is a in -4*a**4 - 516*a**3 - 20816*a**2 - 253584*a - 233280 = 0?
-54, -20, -1
Solve -2*q**3 + 338*q**2 - 14110*q - 14450 = 0 for q.
-1, 85
Let -2*h**3/11 + 16*h**2/11 + 38*h/11 + 20/11 = 0. Calculate h.
-1, 10
Suppose 2*o**5/13 - 38*o**4/13 - 84*o**3/13 - 4*o**2/13 + 82*o/13 + 42/13 = 0. What is o?
-1, 1, 21
Let d**4 - d**3 - 5*d**2 - 3*d = 0. Calculate d.
-1, 0, 3
Factor -4*j**3 + 3948*j**2 - 1298892*j + 142445156.
-4*(j - 329)**3
Factor 2*p**3 - 42*p**2 + 144*p + 864.
2*(p - 12)**2*(p + 3)
Let -t**5/5 + 13*t**4/5 - 27*t**3/5 - 41*t**2/5 + 116*t/5 - 12 = 0. What is t?
-2, 1, 3, 10
Factor j**4/3 - 16*j**3/3 + 62*j**2/3 - 80*j/3 + 11.
(j - 11)*(j - 3)*(j - 1)**2/3
Solve -7*f**3/2 - 46*f**2 + 617*f/2 + 45 = 0.
-18, -1/7, 5
Factor 5*g**2 - 475*g + 930.
5*(g - 93)*(g - 2)
Factor -2*a**4 - 4*a**3 + 8*a**2 + 4*a - 6.
-2*(a - 1)**2*(a + 1)*(a + 3)
Factor u**5/7 + 13*u**4/7 + 6*u**3.
u**3*(u + 6)*(u + 7)/7
Solve -j**4 - 18*j**3 - 80*j**2 + 18*j + 81 = 0 for j.
-9, -1, 1
Solve 4*v**5 - 72*v**4 + 212*v**3 + 944*v**2 - 4416*v + 3328 = 0 for v.
-4, 1, 4, 13
Determine t, given that 5*t**4 + 35*t**3 + 75*t**2 + 65*t + 20 = 0.
-4, -1
Factor -t**3/6 + 5*t**2/3 - 2*t - 12.
-(t - 6)**2*(t + 2)/6
Factor -5*p**5 - 10*p**4.
-5*p**4*(p + 2)
Find k, given that -15*k**2/8 + 57*k/8 + 3/2 = 0.
-1/5, 4
Suppose 10*f**5 + 363*f**4/2 + 346*f**3 + 30*f**2 - 32*f = 0. Calculate f.
-16, -2, -2/5, 0, 1/4
Factor 12*x**3 - 64*x**2 + 20*x.
4*x*(x - 5)*(3*x - 1)
Let 21*r**5 + 48*r**4 - 492*r**3 - 522*r**2 + 2727*r + 810 = 0. What is r?
-5, -3, -2/7, 3
Solve 2*c**5/5 - 50*c**4 + 2784*c**3/5 - 8136*c**2/5 = 0.
0, 6, 113
What is w in 2*w**4/5 - 412*w**3/5 - 1248*w**2/5 - 1252*w/5 - 418/5 = 0?
-1, 209
What is p in 196*p**5 + 546*p**4 - 934*p**3 + 94*p**2 + 90*p + 8 = 0?
-4, -1/7, 1/2, 1
Let q**2/4 + 43*q + 1849 = 0. Calculate q.
-86
Factor -9*x**3/4 + 195*x**2/4 - 127*x/4 + 21/4.
-(x - 21)*(3*x - 1)**2/4
Factor 5*x**2/2 - 185*x + 1320.
5*(x - 66)*(x - 8)/2
Let -4*q**3/3 - 60*q**2 - 1808*q/3 + 1456 = 0. Calculate q.
-26, -21, 2
Suppose 45*r**4 + 45*r**3 + 15*r**2 + 5*r/3 = 0. Calculate r.
-1/3, 0
Factor 5*h**3 - 580*h**2 - 3025*h.
5*h*(h - 121)*(h + 5)
Determine g so that -8*g**5 + 12*g**4 + 76*g**3 + 24*g**2 - 32*g = 0.
-2, -1, 0, 1/2, 4
Solve 2*k**4 - 40*k**3 + 36*k**2 + 40*k - 38 = 0 for k.
-1, 1, 19
Solve -2*k**5 - k**4 + 2*k**3 + k**2 = 0 for k.
-1, -1/2, 0, 1
Let -f**3/4 - 803*f**2/4 + 201*f = 0. Calculate f.
-804, 0, 1
Determine p so that -2*p**3 - 88*p**2 - 170*p - 84 = 0.
-42, -1
Suppose 2*r**2 + 64*r + 512 = 0. What is r?
-16
Let -5*y**4/3 - 80*y**3/3 - 65*y**2/3 + 50*y = 0. What is y?
-15, -2, 0, 1
Determine t, given that -t**5/2 + 19*t**4 - 223*t**3 + 620*t**2 + 3975*t/2 + 1125 = 0.
-1, 10, 15
Factor -147*d**3/5 - 63*d**2/5 + 72*d/5 - 12/5.
-3*(d + 1)*(7*d - 2)**2/5
Factor -6*u**4 + 40*u**3/3 - 8*u**2/3.
-2*u**2*(u - 2)*(9*u - 2)/3
What is m in -2*m**4/5 - 8*m**3/5 + 42*m**2/5 + 40*m + 40 = 0?
-5, -2, 5
Factor 6*z**2/5 - 366*z/5 + 72.
6*(z - 60)*(z - 1)/5
Solve 2*b**3 + 483*b**2 - 1218*b + 488 = 0 for b.
-244, 1/2, 2
Factor -5*y**2 - 160*y.
-5*y*(y + 32)
Let -5*y**2 - 70*y + 75 = 0. Calculate y.
-15, 1
Factor 2*s**2/9 + 368*s/9 + 16928/9.
2*(s + 92)**2/9
Factor -5*l**3 - 55*l**2 - 40*l + 100.
-5*(l - 1)*(l + 2)*(l + 10)
What is r in -2*r**5/3 - 58*r**4/9 - 22*r**3 - 98*r**2/3 - 196*r/9 - 16/3 = 0?
-4, -3, -1, -2/3
Find c, given that 2*c**3/5 + 92*c**2/5 - 38*c + 96/5 = 0.
-48, 1
Factor -5*t**2 + 60*t - 55.
-5*(t - 11)*(t - 1)
Let -5*h**3 + 80*h**2 + 175*h + 90 = 0. Calculate h.
-1, 18
Find j such that -2*j**3/9 - 2*j**2 - 10*j/3 + 50/9 = 0.
-5, 1
Solve -c**5/2 + 2*c**4 - 5*c**3/2 + c**2 = 0.
0, 1, 2
Factor -x**2/3 + 524*x/3 + 175.
-(x - 525)*(x + 1)/3
Solve 3*f**5 + 66*f**4 - 141*f**3 + 72*f**2 = 0.
-24, 0, 1
Factor -4*l**2 - 396*l + 808.
-4*(l - 2)*(l + 101)
Find y such that y**5/2 + 19*y**4/3