*c**4/7 - 5445*c**3/7 + 109947*c**2/7 - 71487*c/7 + 11814/7 = 0.
1/3, 22, 179
Factor 2*m**2 + 8*m - 24.
2*(m - 2)*(m + 6)
Factor -g**2/2 + 120*g - 7200.
-(g - 120)**2/2
Factor -92*m**2 - 3396*m + 296.
-4*(m + 37)*(23*m - 2)
Factor -x**2/2 + 155*x - 612.
-(x - 306)*(x - 4)/2
Factor 3*g**5/2 + 6*g**4 + 15*g**3/2 + 3*g**2.
3*g**2*(g + 1)**2*(g + 2)/2
What is p in -25*p**4/6 + 595*p**3/3 - 14161*p**2/6 = 0?
0, 119/5
Solve 2*s**2 + 70*s - 148 = 0.
-37, 2
Suppose c**3/2 + 219*c**2/2 + 1260*c + 3726 = 0. Calculate c.
-207, -6
Suppose -3*s**3 - 39*s**2 - 144*s - 108 = 0. What is s?
-6, -1
Suppose -4*c**2/7 - 964*c/7 - 960/7 = 0. What is c?
-240, -1
Factor z**3 + 4*z**2.
z**2*(z + 4)
Factor -2*y**5/7 - 6*y**4/7 + 8*y**2/7.
-2*y**2*(y - 1)*(y + 2)**2/7
What is n in 18*n**3/5 + 482*n**2/5 + 72*n - 104/5 = 0?
-26, -1, 2/9
Solve 3*c**3 + 108*c**2 - 3*c - 108 = 0 for c.
-36, -1, 1
Factor 2*k**2 + 154*k - 996.
2*(k - 6)*(k + 83)
Determine z, given that 6962*z**4 - 8378*z**3 + 1488*z**2 - 72*z = 0.
0, 6/59, 1
Find g, given that -g**2/6 + 2*g/3 + 5/6 = 0.
-1, 5
Determine h so that -2*h**2 - 1352*h - 228488 = 0.
-338
Solve 4*w**2 + 816*w - 1648 = 0.
-206, 2
Suppose -30*q**4 - 358*q**3 + 1308*q**2 - 1064*q + 240 = 0. What is q?
-15, 2/5, 2/3, 2
Solve 3*f**4/5 - 42*f**3/5 + 39*f**2 - 372*f/5 + 252/5 = 0 for f.
2, 3, 7
Determine n so that 28*n**4/17 - 1210*n**3/17 + 13782*n**2/17 - 15246*n/17 + 2646/17 = 0.
3/14, 1, 21
Suppose 4*g**4 + 52*g**3 - 12*g**2 - 164*g - 104 = 0. What is g?
-13, -1, 2
Suppose -2*u**4 - 18*u**3 - 24*u**2 + 88*u + 96 = 0. What is u?
-6, -4, -1, 2
Factor 2*w**2/3 + 40*w/3 + 200/3.
2*(w + 10)**2/3
Determine v so that -125*v**5 + 75*v**4 + 370*v**3 - 480*v**2 + 160*v = 0.
-2, 0, 4/5, 1
Determine y so that -32*y**4/5 - 92*y**3 + 824*y**2/5 - 28*y - 192/5 = 0.
-16, -3/8, 1
Factor 186*d**3/5 - 1114*d**2/5 + 1662*d/5 + 18/5.
2*(d - 3)**2*(93*d + 1)/5
Factor 2*n**3 + 424*n**2 + 842*n + 420.
2*(n + 1)**2*(n + 210)
Factor 45*j**4 + 15*j**3 - 580*j**2 - 740*j - 240.
5*(j - 4)*(j + 3)*(3*j + 2)**2
What is h in -6*h**3 - 358*h**2 - 576*h + 232 = 0?
-58, -2, 1/3
What is z in -5*z**2 - 160*z = 0?
-32, 0
Find s, given that 2*s**3/9 + 254*s**2/9 + 8432*s/9 + 7688/3 = 0.
-62, -3
Determine x so that -2*x**3 + x**2/3 + 43*x/3 - 14 = 0.
-3, 7/6, 2
Factor 5*q**3 - 75*q**2 + 315*q - 245.
5*(q - 7)**2*(q - 1)
Factor 3*f**4 + 24*f**3 - 696*f**2 - 2976*f - 3024.
3*(f - 14)*(f + 2)**2*(f + 18)
Factor 3*a**3/2 + 2375*a**2/2 + 234828*a - 78408.
(a + 396)**2*(3*a - 1)/2
Find i such that 2*i**4/13 + 612*i**3/13 - 1848*i**2/13 + 1852*i/13 - 618/13 = 0.
-309, 1
Let -2*s**3 - 142*s**2 + 452*s + 592 = 0. What is s?
-74, -1, 4
Factor 3*s**3 + 57*s**2 + 213*s - 273.
3*(s - 1)*(s + 7)*(s + 13)
Solve 2*x**3/7 + 16*x**2/7 + 32*x/7 = 0.
-4, 0
Let -g**4/6 + 466*g**3/3 - 109043*g**2/3 + 72230*g - 72075/2 = 0. What is g?
1, 465
Solve 2*n**5 - 64*n**4 + 510*n**3 + 64*n**2 - 512*n = 0 for n.
-1, 0, 1, 16
Let 5*c**3/3 + 10*c**2 - 60*c + 200/3 = 0. Calculate c.
-10, 2
Let 4*h**4 - 32*h**3 + 80*h**2 - 64*h = 0. Calculate h.
0, 2, 4
Factor f**2/2 + 29*f/2 - 360.
(f - 16)*(f + 45)/2
Factor 4*p**3 - 8*p**2 - 16*p + 32.
4*(p - 2)**2*(p + 2)
Factor 2*x**5 + 6*x**4 - 14*x**3 - 30*x**2 + 36*x.
2*x*(x - 2)*(x - 1)*(x + 3)**2
Let 75*h**3 - 8820*h**2 - 3537*h - 354 = 0. Calculate h.
-1/5, 118
Factor 2*x**5/13 - 6*x**4/13 + 8*x**2/13.
2*x**2*(x - 2)**2*(x + 1)/13
What is g in 3*g**2 - 1857*g + 1854 = 0?
1, 618
Let -z**4/5 + 12*z**3/5 + 29*z**2/5 - 12*z/5 - 28/5 = 0. What is z?
-2, -1, 1, 14
Find y, given that -3*y**4 - 6*y**3 + 117*y**2 - 216*y = 0.
-8, 0, 3
What is s in s**4/6 + 109*s**3/6 + 212*s**2/3 + 70*s = 0?
-105, -2, 0
Let 2*j**2 + 294*j + 864 = 0. Calculate j.
-144, -3
Factor 2*c**5/9 - 34*c**4/9 - 4*c**3.
2*c**3*(c - 18)*(c + 1)/9
Factor -4976*p**2 - 3764*p - 24.
-4*(4*p + 3)*(311*p + 2)
Factor -x**2/4 + 2925*x/2 - 8555625/4.
-(x - 2925)**2/4
Find k, given that -2*k**3/21 + 326*k**2/7 - 39360*k/7 - 121032/7 = 0.
-3, 246
Find b such that 3*b**4/8 + 135*b**3/4 + 1791*b**2/8 + 1005*b/2 + 747/2 = 0.
-83, -3, -2
Factor 2*a**4/3 + 2*a**3/3 - 14*a**2/3 - 26*a/3 - 4.
2*(a - 3)*(a + 1)**2*(a + 2)/3
Factor 5*c**4 - 5*c**2.
5*c**2*(c - 1)*(c + 1)
Factor -k**2/4 + 176*k - 30976.
-(k - 352)**2/4
Suppose 10*k**2 - 4345*k + 2170 = 0. Calculate k.
1/2, 434
Determine h, given that h**2 + 40*h = 0.
-40, 0
Solve 6*d**2 - 16*d - 6 = 0.
-1/3, 3
Find h such that -5*h**3 - 5*h**2 + 205*h + 525 = 0.
-5, -3, 7
Factor 3*y**2/2 - 75*y/2 - 525.
3*(y - 35)*(y + 10)/2
Solve 3*o**2/5 - 48*o/5 = 0 for o.
0, 16
Factor 7*j**2/5 + 37*j/5 + 2.
(j + 5)*(7*j + 2)/5
Factor k**5/2 + k**4/2 - 3*k**3/2 - k**2/2 + k.
k*(k - 1)**2*(k + 1)*(k + 2)/2
What is g in 6*g**3 + 645*g**2/2 - 81*g = 0?
-54, 0, 1/4
Find r, given that -12*r**4 - 129*r**3 - 387*r**2 - 195*r + 75 = 0.
-5, -1, 1/4
Factor -372*u**2/7 + 1868*u/7 - 40/7.
-4*(u - 5)*(93*u - 2)/7
Factor 12*p**2 + 75*p/2 - 42.
3*(p + 4)*(8*p - 7)/2
Suppose -3*k**2/2 - 675*k/2 - 669 = 0. Calculate k.
-223, -2
Let 5*u**2 + 910*u + 905 = 0. Calculate u.
-181, -1
Factor 2*u**4/11 + 36*u**3/11 + 144*u**2/11.
2*u**2*(u + 6)*(u + 12)/11
Suppose 4*h**2 + 152*h + 1444 = 0. Calculate h.
-19
Let -4*t**5 - 56*t**4 - 184*t**3 + 176*t**2 + 700*t + 392 = 0. Calculate t.
-7, -1, 2
Determine h, given that -h**2 + 800*h - 160000 = 0.
400
Factor -2*c**3/9 - 34*c**2/9 - 62*c/9 - 10/3.
-2*(c + 1)**2*(c + 15)/9
Factor -2*p**4/7 - 2*p**3/7 + 2*p**2/7 + 2*p/7.
-2*p*(p - 1)*(p + 1)**2/7
Factor 4*g**5 - 12*g**3 - 8*g**2.
4*g**2*(g - 2)*(g + 1)**2
What is q in 2*q**2/7 - 6*q/7 - 20/7 = 0?
-2, 5
Factor 4*c**4 + 928*c**3 + 55648*c**2 + 211584*c + 207936.
4*(c + 2)**2*(c + 114)**2
Let p**4/2 + 7*p**3/2 - 3*p**2/2 - 55*p/2 + 25 = 0. What is p?
-5, 1, 2
Factor -n**2/3 + 8710*n/3 - 18966025/3.
-(n - 4355)**2/3
Determine f so that 10*f**4 + 65*f**3 + 120*f**2 + 85*f + 20 = 0.
-4, -1, -1/2
Suppose -5*g**3 + 990*g**2 + 1995*g + 1000 = 0. Calculate g.
-1, 200
Solve -3*l**5/4 - 33*l**4/2 + 675*l**3/4 - 681*l**2/2 - 75*l + 450 = 0.
-30, -1, 2, 5
Factor -4*z**3 - 24372*z**2 - 49499532*z - 33511183164.
-4*(z + 2031)**3
Solve j**2 - 41*j - 132 = 0 for j.
-3, 44
Suppose 2*c**4/9 - 4*c**3 + 242*c**2/9 - 80*c + 800/9 = 0. What is c?
4, 5
Factor -3*k**3 + 243*k**2 - 1350*k.
-3*k*(k - 75)*(k - 6)
Factor 4*k**3 + 196*k**2 + 1836*k - 14580.
4*(k - 5)*(k + 27)**2
What is m in 4*m**5 + 476*m**4 - 968*m**3 + 8*m**2 + 964*m - 484 = 0?
-121, -1, 1
Factor l**5/2 - l**4 - 27*l**3/2 - 26*l**2 - 14*l.
l*(l - 7)*(l + 1)*(l + 2)**2/2
Factor -2*x**2/5 - 132*x - 10890.
-2*(x + 165)**2/5
Factor u**4/8 - 41*u**3/8 - 33*u**2/2.
u**2*(u - 44)*(u + 3)/8
Find o such that -2*o**2/19 + 1248*o/19 = 0.
0, 624
Factor 242*y**3/9 - 12254*y**2/9 - 4480*y/9 - 136/3.
2*(y - 51)*(11*y + 2)**2/9
Suppose -10*w**4 + 55*w**3 + 615*w**2 - 1720*w + 700 = 0. What is w?
-7, 1/2, 2, 10
Determine q, given that -3*q**3 + 378*q**2 = 0.
0, 126
What is r in r**5/5 + 2*r**4/5 - 2*r**2/5 - r/5 = 0?
-1, 0, 1
Factor -60*l**2 - 1385*l - 115.
-5*(l + 23)*(12*l + 1)
Factor -4*d**3 - 236*d**2 - 680*d - 448.
-4*(d + 1)*(d + 2)*(d + 56)
Factor 3*o**3/2 - 135*o**2 + 3168*o - 5808.
3*(o - 44)**2*(o - 2)/2
What is m in -4*m**3/3 + 152*m**2/3 - 528*m + 864 = 0?
2, 18
Determine m, given that -m**4 + 13*m**3 + 30*m**2 = 0.
-2, 0, 15
Factor -4*i**2 - 80*i + 276.
-4*(i - 3)*(i + 23)
Solve t**5/2 + t**4/2 - 13*t**3/2 - t**2/2 + 6*t = 0.
-4, -1, 0, 1, 3
Factor 3*u**3 - 2022*u**2 + 8052*u - 8040.
3*(u - 670)*(u - 2)**2
Factor 2*q**3 + 50*q**2 + 44*q - 96.
2*(q - 1)*(q + 2)*(q + 24)
Factor -c**2/3 + 2*c - 3.
-(c - 3)**2/3
Determine w, given that 2*w**2/17 + 244*w/17 + 242/17 = 0.
-121, -1
Factor -4*g**3/5 - 4*g**2/5 + 48*g/5.
-4*g*(g - 3)*(g + 4)/5
Determine i so that 3*i**4 + 153*i**3 + 138*i**2 - 612*i - 600 = 0.
-50, -2, -1, 2
Suppose a**2/5 + 12*a/5 + 7 = 0. Calculate a.
-7, -5
Factor 6*p**2 - 13*p/2 + 1/2.
(p - 1)*(12*p - 1)/2
Find b, given that -5*b**4 - 25*b**3 + 215*b**2 - 335*b + 150 = 0.
-10, 1, 3
Factor -9*z**2/2 + 705*z/2 + 237.
-3*(z - 79)*(3*z + 2)/2
Factor 2*b**4 - 8*b**3 - 32*b**2 + 32*b + 96.
2*(b - 6)*(b - 2)*(b + 2)**2
Solve 2*o**2/9 - 86*o/9 - 20 = 0 for o.
-2, 45
Solve 20*c**5 + 245*c**4 + 1020*c**3 + 1840*c**2 + 1360*c + 240 = 0.
-6, -2, -1/4
Suppose -147*j**3/5 - 33306*j*