2*g**2/3 + 1176*g - 518616.
-2*(g - 882)**2/3
Factor 5*z**4 - 15*z**3 + 15*z**2 - 5*z.
5*z*(z - 1)**3
Factor -2*r**3/7 - 12*r**2/7 - 24*r/7 - 16/7.
-2*(r + 2)**3/7
Factor -2*w**4 - 2*w**3 + 30*w**2 - 46*w + 20.
-2*(w - 2)*(w - 1)**2*(w + 5)
Factor 4*c**3 + 15553*c**2 + 15120432*c + 3779136.
(c + 1944)**2*(4*c + 1)
Factor -f**4/4 + 11*f**3/4 - 5*f**2/4 - 47*f/4 - 15/2.
-(f - 10)*(f - 3)*(f + 1)**2/4
Let 12*p**4 + 110*p**3 + 198*p**2 - 270*p - 50 = 0. Calculate p.
-5, -1/6, 1
Find u, given that -u**4/3 + 10*u**2/3 - 3 = 0.
-3, -1, 1, 3
Determine o so that 4*o**3 - 4*o**2 - 56*o + 96 = 0.
-4, 2, 3
Factor 14*v**4/3 - 158*v**3/9 + 74*v**2/3 - 46*v/3 + 32/9.
2*(v - 1)**3*(21*v - 16)/9
Solve -2*w**3/11 - 214*w**2/11 - 5616*w/11 + 5832/11 = 0.
-54, 1
Determine h so that h**4/5 - 3*h**3/5 - 9*h**2/5 - h = 0.
-1, 0, 5
Factor -g**2/3 - 2192*g/3 - 1201216/3.
-(g + 1096)**2/3
Factor 385*p**2/4 - 81*p/4 + 1/2.
(11*p - 2)*(35*p - 1)/4
Factor 4*b**3 + 252*b**2 - 1092*b - 1340.
4*(b - 5)*(b + 1)*(b + 67)
Factor 3*b**2/2 - 3*b - 540.
3*(b - 20)*(b + 18)/2
Determine m so that 198*m**4/7 - 18510*m**3/7 + 8926*m**2/7 + 190*m/7 - 372/7 = 0.
-2/11, 1/3, 93
Factor -125*i**3 - 275*i**2 - 195*i - 45.
-5*(i + 1)*(5*i + 3)**2
Solve 3*t**3/4 - 15*t**2/2 - 939*t/4 + 483/2 = 0.
-14, 1, 23
Find f such that 2*f**5/7 - 4*f**4 + 90*f**3/7 + 16*f**2 - 56*f = 0.
-2, 0, 2, 7
Solve w**5/10 + 7*w**4/5 - 177*w**3/10 - 7*w**2/5 + 88*w/5 = 0 for w.
-22, -1, 0, 1, 8
Factor 2*p**4/5 + 4*p**3/5 - 16*p**2/5.
2*p**2*(p - 2)*(p + 4)/5
Let 2*n**4/5 + 4*n**3/5 - 6*n**2/5 = 0. Calculate n.
-3, 0, 1
Factor -o**5 + 412*o**4 - 56305*o**3 + 2514222*o**2 + 5199012*o + 2628072.
-(o - 138)**3*(o + 1)**2
Factor -73728*m**2 - 768*m - 2.
-2*(192*m + 1)**2
Solve 7*b**5/3 + 279*b**4 - 1214*b**3/3 - 158*b**2 + 1207*b/3 - 121 = 0.
-121, -1, 3/7, 1
Factor 4*k**3 + 98*k**2 + 428*k + 190.
2*(k + 5)*(k + 19)*(2*k + 1)
Factor 4*q**3 - 120*q**2 + 900*q.
4*q*(q - 15)**2
Let t**3/3 + 22*t**2/3 + 7*t = 0. What is t?
-21, -1, 0
Factor 2*v**3 + 4*v**2 - 2*v - 4.
2*(v - 1)*(v + 1)*(v + 2)
Suppose 5*l**4 + 30*l**3 - 235*l**2 + 420*l - 220 = 0. What is l?
-11, 1, 2
Let -u**5/4 + 21*u**4/4 + 3*u**3/4 - 65*u**2/4 + 21*u/2 = 0. Calculate u.
-2, 0, 1, 21
Solve 22*n**2 + 28*n + 98/11 = 0 for n.
-7/11
Suppose f**5/2 + 5*f**4 - f**3/2 - 83*f**2 - 6*f + 252 = 0. What is f?
-7, -6, -2, 2, 3
Find l such that -523*l**3 - 1048*l**2 + 1565*l + 6 = 0.
-3, -2/523, 1
Find m, given that -4*m**3 - 68*m**2 + 552*m = 0.
-23, 0, 6
Let 2*p**2/3 - 80*p + 238/3 = 0. Calculate p.
1, 119
Determine z, given that 2*z**4 + 12*z**3 + 24*z**2 + 20*z + 6 = 0.
-3, -1
Determine r so that -5*r**3 - 490*r**2 - 965*r - 480 = 0.
-96, -1
Let -3*j**4/7 - 6*j**3/7 + 3*j**2 + 24*j/7 - 36/7 = 0. What is j?
-3, -2, 1, 2
Find z such that 10*z**3 - 125*z**2 + 420*z - 180 = 0.
1/2, 6
Factor -2*a**4 - 6*a**3 - 4*a**2.
-2*a**2*(a + 1)*(a + 2)
Let -135*x**5 + 685*x**4 - 1265*x**3 + 1035*x**2 - 340*x + 20 = 0. What is x?
2/27, 1, 2
What is j in 3*j**2 + 174*j - 2040 = 0?
-68, 10
Let -3*q**5/5 - 3*q**4/5 + 9*q**3/5 + 3*q**2 + 6*q/5 = 0. What is q?
-1, 0, 2
Solve 2*h**4/9 - 100*h**3/9 - 104*h**2/9 + 100*h/9 + 34/3 = 0 for h.
-1, 1, 51
Factor 216*h**2 - 252*h + 147/2.
3*(12*h - 7)**2/2
Factor 2*n**2/3 + 190*n/3 + 188/3.
2*(n + 1)*(n + 94)/3
Find t, given that 2*t**5/3 - 28*t**4/3 + 122*t**3/3 - 232*t**2/3 + 200*t/3 - 64/3 = 0.
1, 2, 8
Solve 2*c**2/7 + 40*c + 552/7 = 0.
-138, -2
Factor -2*z**3/13 + 20*z**2/13 - 42*z/13.
-2*z*(z - 7)*(z - 3)/13
Factor -5*c**4 - 90*c**3 + 300*c**2 - 310*c + 105.
-5*(c - 1)**3*(c + 21)
Factor -20*g**3 + 226*g**2 + 174*g - 72.
-2*(g - 12)*(g + 1)*(10*g - 3)
Factor 2*c**3 - 18*c**2 + 28*c.
2*c*(c - 7)*(c - 2)
Factor -3*f**4 - 12*f**3 + 12*f**2 + 48*f.
-3*f*(f - 2)*(f + 2)*(f + 4)
Find w, given that -5*w**4/7 - 17*w**3/7 - 3*w**2 - 11*w/7 - 2/7 = 0.
-1, -2/5
Factor -r**4 + 1800*r**3 - 811798*r**2 + 1618200*r - 808201.
-(r - 899)**2*(r - 1)**2
Find x, given that 26*x**3 + 30*x**2 - 48*x - 8 = 0.
-2, -2/13, 1
Solve -8*r**2/15 - 26*r/15 + 8/5 = 0.
-4, 3/4
Factor -3*o**3 + 108*o**2 - 843*o - 2142.
-3*(o - 21)*(o - 17)*(o + 2)
Solve 4*j**3/5 - j**2 - 79*j/5 + 4 = 0.
-4, 1/4, 5
Factor 125*d**3 + 550*d**2 + 205*d + 20.
5*(d + 4)*(5*d + 1)**2
Find q such that -32*q**3/11 - 1808*q**2/11 - 898*q/11 - 112/11 = 0.
-56, -1/4
Let 13*v**5/5 + 106*v**4/5 - 101*v**3/5 - 1422*v**2/5 + 1188*v/5 + 216/5 = 0. What is v?
-6, -2/13, 1, 3
Factor 3*x**4 - 51*x**2 - 108*x - 60.
3*(x - 5)*(x + 1)*(x + 2)**2
Solve -5*x**2 - 15*x - 10 = 0 for x.
-2, -1
Factor -2*m**2/11 + 140*m/11 - 138/11.
-2*(m - 69)*(m - 1)/11
Factor -2*l**4/13 + 482*l**3/13 + 2940*l**2/13 + 5912*l/13 + 304.
-2*(l - 247)*(l + 2)**3/13
Factor 4*b**3/7 + 60*b**2/7 + 128*b/7 - 528/7.
4*(b - 2)*(b + 6)*(b + 11)/7
Factor -4*r**2/3 - 56*r/3 - 52/3.
-4*(r + 1)*(r + 13)/3
Determine g, given that g**2/3 - 506*g/3 + 505/3 = 0.
1, 505
Factor 5*l**5 - 5*l**4 - 35*l**3 + 65*l**2 - 30*l.
5*l*(l - 2)*(l - 1)**2*(l + 3)
Factor -2*w**3 - 76*w**2/3 - 190*w/3 + 24.
-2*(w + 4)*(w + 9)*(3*w - 1)/3
Let -w**4 - 43*w**3 - 522*w**2 - 1280*w - 800 = 0. Calculate w.
-20, -2, -1
Determine u, given that -u**5 + 50*u**4 - 517*u**3 - 2700*u**2 - 2916*u = 0.
-2, 0, 27
Solve -q**4/2 - 11*q**3/2 - 3*q**2/2 + 203*q/2 + 98 = 0 for q.
-7, -1, 4
Factor 4*i**3 + 68*i**2 - 152*i.
4*i*(i - 2)*(i + 19)
Find g such that 2*g**5 - 304*g**4/5 + 234*g**3 - 124*g**2 - 296*g + 624/5 = 0.
-1, 2/5, 2, 3, 26
Solve -2*c**3/3 + 806*c**2 - 324818*c + 130901654/3 = 0.
403
Factor i**4/7 - 23*i**3/7 + 81*i**2/7 - 97*i/7 + 38/7.
(i - 19)*(i - 2)*(i - 1)**2/7
Factor 4*q**4 - 128*q**3 + 1144*q**2 - 1920*q + 900.
4*(q - 15)**2*(q - 1)**2
Suppose -5*q**2/4 + 1105*q/2 - 2205/4 = 0. Calculate q.
1, 441
Factor 3915*t**2/4 + 381*t/2 - 6.
3*(9*t + 2)*(145*t - 4)/4
Solve -4*o**5 + 28*o**4 + 260*o**3 - 3100*o**2 + 10000*o - 10000 = 0 for o.
-10, 2, 5
Solve 2*s**3/7 - 58*s**2/7 + 412*s/7 - 608/7 = 0.
2, 8, 19
Solve 18*j**5 - 372*j**4 + 1916*j**3 - 3424*j**2 + 1698*j - 252 = 0 for j.
1/3, 3, 14
Determine u, given that -3*u**5 + 144*u**4 - 2112*u**3 + 9342*u**2 - 15309*u + 7938 = 0.
1, 2, 3, 21
Factor -2*q**3/3 - 110*q**2/3 - 36*q.
-2*q*(q + 1)*(q + 54)/3
Factor -2*k**3/7 + 298*k**2/7 - 284*k.
-2*k*(k - 142)*(k - 7)/7
Let 49*j**5/8 - 4921*j**4/8 + 2048*j**3 - 1055*j**2 - 1162*j - 194 = 0. Calculate j.
-2/7, 2, 97
Suppose -11*h**5/2 - 7*h**4/2 + 169*h**3/2 - 313*h**2/2 + 101*h - 20 = 0. What is h?
-5, 4/11, 1, 2
Let j**4 + 199*j**3 + 591*j**2 + 589*j + 196 = 0. Calculate j.
-196, -1
Factor 3*z**4/7 + 36*z**3/7 + 162*z**2/7 + 324*z/7 + 243/7.
3*(z + 3)**4/7
Factor -l**3/9 - 11*l**2/9 + 4*l/3.
-l*(l - 1)*(l + 12)/9
Factor -11*k**4/3 + 20*k**3/3 - 7*k**2/3 - 2*k/3.
-k*(k - 1)**2*(11*k + 2)/3
Factor f**4 - 2797*f**3 - 8397*f**2 - 8399*f - 2800.
(f - 2800)*(f + 1)**3
Factor 5*t**3 - 267*t**2 - 1034*t + 456.
(t - 57)*(t + 4)*(5*t - 2)
Solve -28*x**5 - 398*x**4 + 2370*x**3 - 3262*x**2 + 1546*x - 228 = 0 for x.
-19, 2/7, 1/2, 1, 3
Factor -2*n**2 + 50*n - 48.
-2*(n - 24)*(n - 1)
Factor -4*t**2 - 340*t - 336.
-4*(t + 1)*(t + 84)
What is v in -704*v**2/5 + 141*v - 1/5 = 0?
1/704, 1
Determine v, given that 44*v**3 - 1156*v**2 + 7748*v - 2028 = 0.
3/11, 13
What is s in 486*s**3 - 36*s**2 + 2*s/3 = 0?
0, 1/27
Factor 5*o**3/4 - 457*o**2/4 - 139*o/2 + 46.
(o - 92)*(o + 1)*(5*o - 2)/4
Determine m so that -2*m**3 + 66*m**2 - 702*m + 2430 = 0.
9, 15
Determine b, given that b**3 - 296*b**2 + 21904*b = 0.
0, 148
Factor 2*h**5/3 - 28*h**4/3 - 62*h**3/3 - 32*h**2/3.
2*h**2*(h - 16)*(h + 1)**2/3
Determine g so that -2*g**4/7 - 26*g**3/7 - 102*g**2/7 - 10*g + 200/7 = 0.
-5, -4, 1
Solve 2*q**4/7 + 1980*q**3/7 + 490050*q**2/7 = 0.
-495, 0
Find d, given that -5*d**4 - 60*d**3 - 80*d**2 + 240*d + 400 = 0.
-10, -2, 2
Suppose -q**3 - 27*q**2 - 51*q - 25 = 0. What is q?
-25, -1
Factor -c**3 + 4*c**2 + 155*c + 150.
-(c - 15)*(c + 1)*(c + 10)
Factor -y**2 + y + 6.
-(y - 3)*(y + 2)
Suppose 2*f**5/9 - 14*f**4/9 - 100*f**3/9 + 124*f**2/9 + 98*f/9 - 110/9 = 0. What is f?
-5, -1, 1, 11
Factor 3*p**3/5 - 48*p**2/5 - 57*p/5 + 102/5.
3*(p - 17)*(p - 1)*(p + 2)/5
Determine m, given that -m**2 - 84*m - 1764 = 0.
-42
Solve 2*k**2/5 + 226*k/5 + 224/5 = 0.
-112, -1
Let -350*h**4 - 1485*h**3 - 345*h**2 - 20*h = 0. Calcula