/3 + 666*x**3 - 1796*x**2/3 + 216*x - 80/3 = 0 for x.
2/7, 2/5, 10/11, 1
Factor -15*y**2 + 3*y + 18.
-3*(y + 1)*(5*y - 6)
Factor 17*m**3/5 - 83*m**2/5 + 92*m/5 + 12/5.
(m - 3)*(m - 2)*(17*m + 2)/5
Determine k so that 2*k**2 - 264*k = 0.
0, 132
Factor -2*f**3/7 + 288*f**2/7 - 4318*f/7.
-2*f*(f - 127)*(f - 17)/7
Factor 5*f**2 - 35*f + 30.
5*(f - 6)*(f - 1)
Let 36*q**5 - 777*q**4 + 5304*q**3 - 11646*q**2 + 5508*q - 729 = 0. What is q?
1/4, 1/3, 3, 9
Factor -16*s**5 - 144*s**4 - 228*s**3 + 848*s**2 + 1344*s - 2304.
-4*(s + 4)**3*(2*s - 3)**2
What is a in -18*a**3 - 670*a**2 - 148*a = 0?
-37, -2/9, 0
Factor 38*s**3 - 48*s**2 + 39*s/2 - 5/2.
(2*s - 1)**2*(19*s - 5)/2
Find j such that -2*j**3 - 974*j**2 + 1954*j - 978 = 0.
-489, 1
Factor -2*a**4 - 22*a**3 - 90*a**2 - 162*a - 108.
-2*(a + 2)*(a + 3)**3
Determine g so that 45*g**2 + 2350*g + 520 = 0.
-52, -2/9
Factor -z**3 - 5*z**2 + 28*z + 32.
-(z - 4)*(z + 1)*(z + 8)
Factor -3*h**3 - 3*h**2 + 216*h.
-3*h*(h - 8)*(h + 9)
Suppose -3*l**3 + 54*l**2 + 1848*l + 3456 = 0. What is l?
-16, -2, 36
Factor -i**2/5 + 3*i/5 - 2/5.
-(i - 2)*(i - 1)/5
Factor -10*x**2/11 - 38*x/11 + 8/11.
-2*(x + 4)*(5*x - 1)/11
Find j, given that -j**4/3 - 2*j**3/3 = 0.
-2, 0
Factor 2*y**4/7 - 46*y**3/7 + 248*y**2/7 - 384*y/7.
2*y*(y - 16)*(y - 4)*(y - 3)/7
Let -3*o**3/8 + 15*o**2 - 1311*o/8 + 1083/4 = 0. Calculate o.
2, 19
Factor 2*j**3/5 - 1638*j**2/5 + 447174*j/5 - 40692834/5.
2*(j - 273)**3/5
Solve 2*z**3/3 - 62*z**2/3 + 172*z/3 - 112/3 = 0.
1, 2, 28
Find d, given that 30*d**3/7 - 1818*d**2/7 + 2808*d/7 + 1416/7 = 0.
-2/5, 2, 59
Factor -310*g**2 + 435*g + 45.
-5*(2*g - 3)*(31*g + 3)
Factor j**4 - 43*j**3 + 483*j**2 - 441*j.
j*(j - 21)**2*(j - 1)
What is d in 5*d**4 + 82*d**3 + 29*d**2 - 48*d = 0?
-16, -1, 0, 3/5
Let -48*q**2 + 368*q - 2116/3 = 0. Calculate q.
23/6
Determine a so that 3*a**5 + 153*a**4 + 2019*a**3 + 1575*a**2 - 3750*a = 0.
-25, -2, 0, 1
Factor n**5/8 + n**4/8 - n**3/8 - n**2/8.
n**2*(n - 1)*(n + 1)**2/8
What is j in -3*j**2 + 114*j = 0?
0, 38
Factor 2*n**3/13 - 256*n**2/13 - 2194*n/13 + 2448/13.
2*(n - 136)*(n - 1)*(n + 9)/13
Factor j**3 - 8*j**2 - 99*j - 90.
(j - 15)*(j + 1)*(j + 6)
Suppose 51*p**3 - 414*p**2 + 813*p - 90 = 0. Calculate p.
2/17, 3, 5
Factor -85*r**2 - 175*r - 90.
-5*(r + 1)*(17*r + 18)
Let 3*s**4 + 18*s**3 - 21*s**2 - 288*s - 432 = 0. Calculate s.
-4, -3, 4
Suppose -5*r**5 + 495*r**4 = 0. What is r?
0, 99
Let -108*k**4 + 1548*k**3 + 33189*k**2 - 11190*k + 936 = 0. Calculate k.
-12, 1/6, 26
Factor -3*m**2 - 5076*m - 10140.
-3*(m + 2)*(m + 1690)
Factor -2*j**2/3 - 116*j - 346/3.
-2*(j + 1)*(j + 173)/3
Factor g**3 - 6*g**2 - 88*g + 192.
(g - 12)*(g - 2)*(g + 8)
Let -2*p**3 + 32*p**2 - 154*p + 196 = 0. What is p?
2, 7
Factor -125*c**3 - 9475*c**2 + 31280*c - 25280.
-5*(c + 79)*(5*c - 8)**2
Suppose -4*g**5 + 16*g**4 + 44*g**3 + 24*g**2 = 0. Calculate g.
-1, 0, 6
Factor -s**3/5 - 36*s**2/5 - 221*s/5 + 594/5.
-(s - 2)*(s + 11)*(s + 27)/5
Factor 4*f**3 + 908*f**2 - 936*f - 5472.
4*(f - 3)*(f + 2)*(f + 228)
Factor 15*m**3 + 85*m**2 - 270*m + 80.
5*(m - 2)*(m + 8)*(3*m - 1)
Find g such that 3*g**5/7 + 9*g**4 - 282*g**3/7 + 438*g**2/7 - 297*g/7 + 75/7 = 0.
-25, 1
Factor 2*t**2 + 480*t + 28800.
2*(t + 120)**2
Determine w so that -w**3/2 + 6*w**2 + 15*w/2 - 13 = 0.
-2, 1, 13
What is y in -4*y**2 + 184*y - 2116 = 0?
23
Suppose h**3/4 - 4*h**2 + 7*h = 0. What is h?
0, 2, 14
What is p in -p**3/3 + 208*p**2/3 - 3535*p - 7350 = 0?
-2, 105
Determine u so that u**3/5 + 2*u**2/5 - 3*u = 0.
-5, 0, 3
Find l such that -2*l**5/15 + 36*l**4/5 - 46*l**3 - 19928*l**2/15 - 32032*l/5 - 46464/5 = 0.
-4, 33
Let 2*u**4/7 + 4*u**3/7 - 96*u**2/7 - 260*u/7 + 50 = 0. Calculate u.
-5, 1, 7
Find u, given that -3*u**2 + 54*u = 0.
0, 18
Factor 5*i**4 + 120*i**3 + 110*i**2 - 120*i - 115.
5*(i - 1)*(i + 1)**2*(i + 23)
Factor 2*j**5/7 - 242*j**4/7 + 11540*j**3/7 - 270628*j**2/7 + 3116746*j/7 - 14096842/7.
2*(j - 29)**3*(j - 17)**2/7
Factor f**2/2 + 248*f + 30752.
(f + 248)**2/2
Factor -4*c**3 + 42*c**2 + 70*c + 24.
-2*(c - 12)*(c + 1)*(2*c + 1)
Factor -36*d**2 + 92*d - 40.
-4*(d - 2)*(9*d - 5)
Solve z**2 - 498*z + 62001 = 0.
249
Let 2*s**2 - 3098*s + 3096 = 0. Calculate s.
1, 1548
Let 28*p**3/9 + 416*p**2/9 + 112*p/3 = 0. Calculate p.
-14, -6/7, 0
Determine h, given that -5*h**5 + 90*h**4 + 305*h**3 + 210*h**2 = 0.
-2, -1, 0, 21
Suppose 2*y**3/5 + 36*y**2/5 - 126*y/5 = 0. What is y?
-21, 0, 3
Suppose 3*t**2 - 129*t - 414 = 0. What is t?
-3, 46
Let 5*q**4 + 125*q**3 + 120*q**2 = 0. What is q?
-24, -1, 0
Factor -i**3 + 22*i**2 + 100*i + 104.
-(i - 26)*(i + 2)**2
Factor 2*z**2 + 32*z + 30.
2*(z + 1)*(z + 15)
Factor q**2/4 + 3*q/2 + 9/4.
(q + 3)**2/4
Determine i so that -355*i**2 + 345*i + 10 = 0.
-2/71, 1
Suppose 4*c**2 - 224*c + 3136 = 0. Calculate c.
28
Determine f, given that 2*f**4/9 + 4*f**3/9 - 40*f**2/9 - 44*f/3 - 10 = 0.
-3, -1, 5
Factor 2*j**5 + 8*j**4 - 36*j**3 + 40*j**2 - 14*j.
2*j*(j - 1)**3*(j + 7)
Find i, given that 2*i**4/3 - 124*i**3/3 - 3242*i**2/3 - 3116*i/3 = 0.
-19, -1, 0, 82
Factor -a**2/4 + 535*a/4 - 533/2.
-(a - 533)*(a - 2)/4
Factor -3*g**4/8 - 159*g**3/4 - 9039*g**2/8 - 8109*g/2 - 7803/2.
-3*(g + 2)**2*(g + 51)**2/8
Find g such that g**3 + 87*g**2 + 2523*g + 24389 = 0.
-29
Factor t**3 + 3777*t**2 + 4755243*t + 1995616979.
(t + 1259)**3
Factor -5*q**2/6 + 265*q/3 - 520/3.
-5*(q - 104)*(q - 2)/6
What is u in 30*u**4/19 + 178*u**3/19 - 226*u**2/19 - 10*u/19 + 28/19 = 0?
-7, -1/3, 2/5, 1
What is v in 2*v**5/19 + 6*v**4/19 - 6*v**3/19 - 22*v**2/19 - 12*v/19 = 0?
-3, -1, 0, 2
Factor -4*v**4 - 348*v**3 + 1072*v**2 - 720*v.
-4*v*(v - 2)*(v - 1)*(v + 90)
Solve -z**5 + 3*z**4 + 6*z**3 - 8*z**2 = 0 for z.
-2, 0, 1, 4
Solve 4*l**3 + 1444*l**2 + 1432*l - 2880 = 0 for l.
-360, -2, 1
Find t such that -5*t**5/3 - 30*t**4 - 305*t**3/3 - 120*t**2 - 140*t/3 = 0.
-14, -2, -1, 0
Factor 28*g**3 + 2024*g**2 + 36864*g + 10368.
4*(g + 36)**2*(7*g + 2)
Find v such that 2*v**4 - 51*v**3/2 + 90*v**2 - 118*v + 48 = 0.
3/4, 2, 8
Factor 6*x**2 - 2311*x/5 + 77/5.
(x - 77)*(30*x - 1)/5
Suppose -121*s**4/4 - 1749*s**3/4 + 981*s**2/4 - 135*s/4 = 0. What is s?
-15, 0, 3/11
Suppose -2*v**3/5 + 82*v**2/5 - 728*v/5 - 360 = 0. Calculate v.
-2, 18, 25
Find y, given that -y**3/9 + 4*y**2 + 67*y/3 + 164/9 = 0.
-4, -1, 41
Suppose -m**5/5 + 154*m**4/5 + 2*m**3/5 - 308*m**2/5 - m/5 + 154/5 = 0. Calculate m.
-1, 1, 154
Factor 2*l**2/7 + 424*l/7 + 120.
2*(l + 2)*(l + 210)/7
Factor j**5 + j**4 - 6*j**3 + 2*j**2 + 5*j - 3.
(j - 1)**3*(j + 1)*(j + 3)
Find y, given that 6*y**4/13 + 74*y**3/13 + 258*y**2/13 + 246*y/13 + 56/13 = 0.
-7, -4, -1, -1/3
Factor -1268*p**2/5 + 3806*p/5 - 6/5.
-2*(p - 3)*(634*p - 1)/5
Solve u**3/4 + 61*u**2/2 + 960*u + 1800 = 0 for u.
-60, -2
Suppose -2*a**3 + 16*a**2 - 40*a + 32 = 0. What is a?
2, 4
What is i in 4*i**3 + 204*i**2 - 216*i - 416 = 0?
-52, -1, 2
Determine x, given that -5*x**4 + 30*x**3 + 435*x**2 - 2480*x - 2880 = 0.
-9, -1, 8
Factor -o**4/4 + 5*o**3/4 + o**2/4 - 5*o/4.
-o*(o - 5)*(o - 1)*(o + 1)/4
Factor 5*o**5 + 205*o**4 + 1995*o**3 - 2205*o**2.
5*o**2*(o - 1)*(o + 21)**2
Factor -5*u**3 - 15*u**2 + 720*u + 4160.
-5*(u - 13)*(u + 8)**2
Factor -2*f**3 - 44*f**2 - 130*f + 1352.
-2*(f - 4)*(f + 13)**2
What is t in -3*t**2 + 12*t - 9 = 0?
1, 3
Suppose -2*v**3 + 2*v**2 = 0. Calculate v.
0, 1
Factor a**2/4 + 141*a/4.
a*(a + 141)/4
Determine v, given that -76*v**5/9 + 46*v**4/9 + 100*v**3/3 - 184*v**2/9 + 16*v/9 = 0.
-2, 0, 2/19, 1/2, 2
Find u such that 3*u**2/4 + 1185*u/4 - 3609/2 = 0.
-401, 6
Suppose 6*g**4 - 74*g**3 + 20*g**2 + 48*g = 0. What is g?
-2/3, 0, 1, 12
Determine v so that -3*v**3/7 + 327*v**2/7 + 2760*v/7 + 5616/7 = 0.
-4, 117
Let -2*i**3/13 + 158*i**2/13 - 740*i/13 = 0. What is i?
0, 5, 74
Determine d, given that 9*d**5/5 - 57*d**4 + 159*d**3/5 + 873*d**2/5 - 1128*d/5 + 372/5 = 0.
-2, 2/3, 1, 31
Suppose -3*d**4 - 1215*d**3 - 162792*d**2 - 7046976*d + 22639104 = 0. What is d?
-136, 3
What is f in -2*f**4 + 38*f**3/3 - 22*f**2 + 6*f = 0?
0, 1/3, 3
Let -15*y**3 - 695*y**2 + 475*y + 235 = 0. What is y?
-47, -1/3, 1
Determine g so that g**2/6 - 13*g/6 + 5 = 0.
3, 10
Solve -5*r**2 + 65*r = 0.
0, 13
Solve 2*h**2/5 + 18*h/5 + 8 = 0 for h.
-5, -4
Factor -5*q**3 - 40*q**2 - 105*q - 90.
-5*(q + 2)*(q + 3)**2
Determine q, giv