e 3*q**2 - 3*q - 60 = 0.
-4, 5
Factor -2*u**3/13 - 22*u**2/13.
-2*u**2*(u + 11)/13
Factor 2*p**3 - 102*p**2 - 666*p - 1026.
2*(p - 57)*(p + 3)**2
Find z, given that 7*z**2/3 - 543*z - 466/3 = 0.
-2/7, 233
Suppose -3*u**5/2 + 197*u**4/2 - 344*u**3 + 180*u**2 + 376*u - 248 = 0. Calculate u.
-1, 2/3, 2, 62
Factor -j**4 + 138*j**3 - 4897*j**2 + 9384*j - 4624.
-(j - 68)**2*(j - 1)**2
Factor 2*y**3 + 48*y**2 + 126*y.
2*y*(y + 3)*(y + 21)
Factor 2*b**3/3 + 34*b**2 + 66*b + 98/3.
2*(b + 1)**2*(b + 49)/3
Factor -5*l**5 - 80*l**4 - 510*l**3 - 1620*l**2 - 2565*l - 1620.
-5*(l + 3)**4*(l + 4)
Factor 2*v**2 - 10*v + 12.
2*(v - 3)*(v - 2)
What is v in -12*v**4 + 128*v**3 + 196*v**2 - 1768*v + 1056 = 0?
-4, 2/3, 3, 11
What is v in 3*v**3 - 45*v**2 - 99*v - 51 = 0?
-1, 17
Factor -2*u**4/7 + 2*u**3 - 22*u**2/7 + 10*u/7.
-2*u*(u - 5)*(u - 1)**2/7
Suppose r**5/6 + 233*r**4/3 + 929*r**3/6 + 232*r**2/3 = 0. What is r?
-464, -1, 0
Factor -2*d**3/7 + 30*d**2/7 + 68*d/7.
-2*d*(d - 17)*(d + 2)/7
Let -u**3/2 + 52*u**2 - 2109*u/2 - 16245 = 0. Calculate u.
-10, 57
Let -2*j**5 - 14*j**4 + 38*j**3 + 14*j**2 - 36*j = 0. Calculate j.
-9, -1, 0, 1, 2
Suppose -4*f**5 - 28*f**4 + 32*f**3 = 0. Calculate f.
-8, 0, 1
Factor -3*p**4 - 15*p**3 - 27*p**2 - 21*p - 6.
-3*(p + 1)**3*(p + 2)
Find k, given that -3*k**2/2 + 162*k - 318 = 0.
2, 106
Determine t so that -3*t**5/2 - 9*t**4/2 + 12*t**3 + 18*t**2 - 24*t = 0.
-4, -2, 0, 1, 2
Factor -2*y**3 - 820*y**2 + 1646*y - 824.
-2*(y - 1)**2*(y + 412)
Determine u, given that 4*u**2 + 224*u - 228 = 0.
-57, 1
What is p in 2*p**3/7 + 2094*p**2/7 + 730806*p/7 + 85017098/7 = 0?
-349
Factor 4*o**5 - 36*o**4 + 112*o**3 - 144*o**2 + 64*o.
4*o*(o - 4)*(o - 2)**2*(o - 1)
Determine r so that -4*r**3 + 1426*r**2 - 127448*r + 63368 = 0.
1/2, 178
Suppose 2*x**4/7 + 34*x**3/7 + 156*x**2/7 + 128*x/7 - 320/7 = 0. Calculate x.
-10, -4, 1
Factor -u**4 + 374*u**3 + 375*u**2.
-u**2*(u - 375)*(u + 1)
Determine h so that -2*h**2/11 + 4060*h/11 - 2060450/11 = 0.
1015
Factor -n**5/5 + n**4/5 + 21*n**3/5 + 47*n**2/5 + 8*n + 12/5.
-(n - 6)*(n + 1)**3*(n + 2)/5
Factor -4*p**2 - 64*p - 240.
-4*(p + 6)*(p + 10)
Find o such that -2*o**4/5 - 1306*o**3/5 - 285138*o**2/5 - 21001694*o/5 - 40873252/5 = 0.
-217, -2
Let -8*m**4/9 + 2*m**3/3 + 8*m**2/3 - 2*m/9 - 4/3 = 0. Calculate m.
-1, 3/4, 2
Factor -2*l**3 + 48*l**2.
-2*l**2*(l - 24)
Solve -40*l**4 + 850*l**3 + 655*l**2 + 110*l = 0.
-1/2, -1/4, 0, 22
Solve y**5/2 + y**4/2 - 9*y**3/2 - y**2/2 + 10*y - 6 = 0.
-3, -2, 1, 2
Factor 2*o**3/7 - 10*o**2/7 - 296*o/7 + 88.
2*(o - 14)*(o - 2)*(o + 11)/7
Factor 3*j**2/2 + 231*j/2 + 225.
3*(j + 2)*(j + 75)/2
Factor y**4/6 + y**3/2 + y**2/3.
y**2*(y + 1)*(y + 2)/6
Determine w so that 37*w**3/6 - 5*w**2/2 = 0.
0, 15/37
Determine y so that 4*y**2/3 + 32*y/3 - 80/3 = 0.
-10, 2
Suppose 2*q**2/3 + 4*q/3 - 16/3 = 0. What is q?
-4, 2
Suppose -12*a**3 + 544*a**2 - 180*a = 0. What is a?
0, 1/3, 45
Factor 2*n**2/13 - 122*n/13 + 660/13.
2*(n - 55)*(n - 6)/13
Factor 3*u**3 - 1098*u**2/7 - 1956*u/7 + 648/7.
3*(u - 54)*(u + 2)*(7*u - 2)/7
Let -2*g**5/5 - 84*g**4/5 + 184*g**3/5 + 348*g**2/5 - 182*g/5 - 264/5 = 0. What is g?
-44, -1, 1, 3
Factor 3*s**2 + 1536*s + 196608.
3*(s + 256)**2
Find n such that -45*n**5 - 2175*n**4 - 2795*n**3 + 1235*n**2 + 2840*n + 940 = 0.
-47, -1, -2/3, 1
Factor -2*f**3/3 - 8930*f**2/9 - 992*f/3.
-2*f*(f + 1488)*(3*f + 1)/9
Factor -2*k**2/5 - 96*k/5 - 352/5.
-2*(k + 4)*(k + 44)/5
Factor -y**3/3 - 427*y**2/3 - 15265*y - 15123.
-(y + 1)*(y + 213)**2/3
Find v, given that -v**5/4 + 9*v**4/4 - 15*v**3/4 + 7*v**2/4 = 0.
0, 1, 7
Factor -4*j**2 - 236*j + 3408.
-4*(j - 12)*(j + 71)
Factor -21*c**2 + 36*c + 12.
-3*(c - 2)*(7*c + 2)
Determine a, given that -a**3/6 - 17*a**2/3 + a/6 + 17/3 = 0.
-34, -1, 1
Let -q**2/2 - 30*q - 171/2 = 0. Calculate q.
-57, -3
Factor 129*y**3/7 - 264*y**2/7 - 375*y/7 + 18/7.
3*(y - 3)*(y + 1)*(43*y - 2)/7
Solve -c**3 - 4*c**2 = 0.
-4, 0
Factor 5*i**3 + 15*i**2 + 15*i + 5.
5*(i + 1)**3
Factor 5*u**3 - 355*u**2 + 7095*u - 27225.
5*(u - 33)**2*(u - 5)
Determine y so that -4*y**2 - 11400*y - 8122500 = 0.
-1425
Factor w**4 - 54*w**3 + 728*w**2 + 54*w - 729.
(w - 27)**2*(w - 1)*(w + 1)
Find m such that 5*m**4 + 10*m**3 - 100*m**2 + 120*m = 0.
-6, 0, 2
Factor y**2 - 39*y + 108.
(y - 36)*(y - 3)
Suppose q**2/3 - 336*q + 84672 = 0. What is q?
504
Let 15*m**3 - 87*m**2/2 + 30*m - 6 = 0. What is m?
2/5, 1/2, 2
Factor 49*o**4/5 + 959*o**3/5 + 536*o**2/5 + 76*o/5.
o*(o + 19)*(7*o + 2)**2/5
Factor 2*d**3/11 - 34*d**2/11.
2*d**2*(d - 17)/11
Suppose -3*j**5 - 24*j**4 + 153*j**3 + 930*j**2 - 2208*j + 1152 = 0. Calculate j.
-8, 1, 6
Factor -2*k**3 - 79*k**2 - 310*k + 175.
-(k + 5)*(k + 35)*(2*k - 1)
What is w in 4*w**3 - 108*w + 216 = 0?
-6, 3
Factor -3*a**4 - 72*a**3 - 498*a**2 - 792*a - 363.
-3*(a + 1)**2*(a + 11)**2
Factor -v**3/2 + 5*v**2 - 17*v/2 + 4.
-(v - 8)*(v - 1)**2/2
Factor -q**2 + 11*q.
-q*(q - 11)
Let -3*q**3/4 - 63*q**2/2 - 216*q - 408 = 0. Calculate q.
-34, -4
Factor 12*q**3 + 928*q**2 - 1572*q + 632.
4*(q - 1)*(q + 79)*(3*q - 2)
Let 676*x**2/7 + 8424*x/7 + 26244/7 = 0. What is x?
-81/13
Find s, given that 2*s**4/7 + 26*s**3/7 - 10*s**2/7 - 666*s/7 + 648/7 = 0.
-9, 1, 4
Suppose -10*q**2/7 - 256*q/7 - 150/7 = 0. What is q?
-25, -3/5
Find t such that 5*t**3/2 + 115*t**2/2 - 265*t/2 - 375/2 = 0.
-25, -1, 3
Determine m so that -2*m**4 + 398*m**3 + 404*m**2 - 800*m = 0.
-2, 0, 1, 200
Factor 2*l**3/5 + 106*l**2/5 - 336*l/5.
2*l*(l - 3)*(l + 56)/5
Solve -5*f**5 + 55*f**4 - 140*f**3 = 0 for f.
0, 4, 7
Suppose 1125*t**3 + 900*t**2 + 240*t + 64/3 = 0. Calculate t.
-4/15
Find r such that -r**2/12 + 2*r/3 + 3/4 = 0.
-1, 9
Factor 2*y**2 + 494*y + 980.
2*(y + 2)*(y + 245)
Factor u**2/3 - 1918*u/3 - 1280.
(u - 1920)*(u + 2)/3
Factor -2*a**2/3 - 80*a/3 - 800/3.
-2*(a + 20)**2/3
Let 2*z**3/11 + 58*z**2/11 + 160*z/11 + 104/11 = 0. What is z?
-26, -2, -1
Factor -51*a**2 - 6*a.
-3*a*(17*a + 2)
Factor 2*v**5 + 4*v**4 - 6*v**3 - 16*v**2 - 8*v.
2*v*(v - 2)*(v + 1)**2*(v + 2)
Solve -x**5/3 - 23*x**4/3 - 19*x**3/3 + 67*x**2/3 + 20*x/3 - 44/3 = 0.
-22, -2, -1, 1
Factor 4*p**5 + 124*p**4 + 236*p**3 + 116*p**2.
4*p**2*(p + 1)**2*(p + 29)
Factor 115*a**3 + 75*a**2 - 730*a + 240.
5*(a - 2)*(a + 3)*(23*a - 8)
Solve -5*n**4 + 1020*n**3 - 78030*n**2 + 2653020*n - 33826005 = 0.
51
Factor u**4 - 7*u**3.
u**3*(u - 7)
Determine w, given that 5*w**5 + 120*w**4 + 585*w**3 - 1690*w**2 = 0.
-13, 0, 2
Determine t so that -t**5/4 + 27*t**4/4 + 131*t**3/4 - 207*t**2/4 - 155*t/2 = 0.
-5, -1, 0, 2, 31
Factor h**3/5 + 1003*h**2/5 - 2009*h/5 + 201.
(h - 1)**2*(h + 1005)/5
Let -5*q**4/2 + 13*q**3/4 - 3*q**2/4 = 0. What is q?
0, 3/10, 1
Factor -4*l**3 + 1416*l**2 + 2844*l + 1424.
-4*(l - 356)*(l + 1)**2
Factor l**4/4 + 2615*l**3/4 + 569634*l**2 + 165193424*l - 165763712.
(l - 1)*(l + 872)**3/4
Factor -5*t**3 + 45*t**2 + 105*t - 1225.
-5*(t - 7)**2*(t + 5)
Factor -2*n**5/15 - 8*n**4/5 - 22*n**3/15.
-2*n**3*(n + 1)*(n + 11)/15
Suppose 3*k**5/5 - 21*k**4 + 1443*k**3/5 - 9723*k**2/5 + 32046*k/5 - 8232 = 0. What is k?
4, 7, 10
Factor s**3 + 5*s**2 - s - 5.
(s - 1)*(s + 1)*(s + 5)
Suppose 10*t**5 - 66*t**4 - 118*t**3 + 34*t**2 + 108*t + 32 = 0. What is t?
-1, -2/5, 1, 8
Factor g**2/3 + 58*g/3 + 19.
(g + 1)*(g + 57)/3
Determine y so that 36*y**5 + 168*y**4 + 244*y**3 + 112*y**2 + 16*y = 0.
-2, -1/3, 0
Factor -3*o**2 + 480*o - 477.
-3*(o - 159)*(o - 1)
Factor 2*s**2/3 - 6.
2*(s - 3)*(s + 3)/3
Let -h**4/5 + 22*h**3/5 - 32*h**2 + 384*h/5 = 0. Calculate h.
0, 6, 8
Determine x, given that 2*x**4 - 26*x**3 - 98*x**2 + 26*x + 96 = 0.
-3, -1, 1, 16
Determine q so that 2*q**2 - 404*q + 402 = 0.
1, 201
Factor v**5/4 - 3*v**4/4 + v**3/4 + 3*v**2/4 - v/2.
v*(v - 2)*(v - 1)**2*(v + 1)/4
Determine w so that -4*w**4/3 - 52*w**3/3 - 28*w**2/3 + 76*w - 48 = 0.
-12, -3, 1
Find h, given that 3*h**2/5 + 192*h/5 = 0.
-64, 0
Solve -25*m**2/3 + 17*m - 26/3 = 0 for m.
1, 26/25
Factor -2*u**3/11 + 60*u**2/11 + 134*u/11 - 192/11.
-2*(u - 32)*(u - 1)*(u + 3)/11
Factor 4*z**2 + 16*z + 12.
4*(z + 1)*(z + 3)
Factor -2*f**3 + 64*f**2 - 570*f + 900.
-2*(f - 15)**2*(f - 2)
Let a**5 + 8*a**4 - 56*a**3 + 110*a**2 - 89*a + 26 = 0. What is a?
-13, 1, 2
What is a in 10*a**5 - 538*a**4/7 + 274*a**3/7 + 482*a**2/7 - 344*a/7 + 8 = 0?
-1, 2/7, 2/5, 1, 7
S